@Preamble{
"\ifx \undefined \booktitle \def \booktitle #1{{{\em #1}}} \fi" #
"\ifx \undefined \cyr \let \cyr = \relax \fi" #
"\ifx \undefined \gldq \def \gldq {,,} \fi" #
"\ifx \undefined \glsq \def \glsq {,} \fi" #
"\ifx \undefined \grdq \def \grdq {``} \fi" #
"\ifx \undefined \grsq \def \grsq {`} \fi" #
"\ifx \undefined \k \let \k = \c \fi"
}
@String{inst-UIUC-CSRD = "University of Illinois at Urbana-Champaign,
Center for Supercomputing Research and
Development"}
@String{inst-UIUC-CSRD:adr = "Urbana, IL 61801, USA"}
@String{j-ADV-APPL-PROB = "Advances in Applied Probability"}
@String{j-AMER-MATH-MONTHLY = "American Mathematical Monthly"}
@String{j-ANN-STAT = "Annals of Statistics"}
@String{j-APPL-NUM-MATH = "Applied Numerical Mathematics: Transactions
of IMACS"}
@String{j-ARCH-MATH = "{Archiv der Mathematik}"}
@String{j-BIOMETRIKA = "Biometrika"}
@String{j-BIT = "BIT"}
@String{j-BIT-NUM-MATH = "BIT Numerical Mathematics"}
@String{j-BULL-AMS = "Bulletin of the American Mathematical
Society"}
@String{j-C-R-ACAD-SCI-PARIS = "Comptes rendus de l'Acad{\'e}mie des
sciences, Paris"}
@String{j-C-R-ACAD-SCI-PARIS-SER-AB = "Comptes Rendus Hebdomadaires des
S{\'e}ances de l'Acad{\'e}mie des
Sciences. S{\'e}ries A et B"}
@String{j-CAN-J-MATH = "Canadian Journal of Mathematics = Journal
canadien de math{\'e}matiques"}
@String{j-CAN-MATH-BULL = "Canadian Mathematical Bulletin = Bulletin
canadien de math{\'e}matiques"}
@String{j-CELEST-MECH = "Celestial Mechanics"}
@String{j-CELEST-MECH-DYN-ASTR = "Celestial Mechanics and Dynamical Astronomy"}
@String{j-COMMENT-MATH-HELV = "Commentarii Mathematici Helvetici (Zurich)"}
@String{j-COMP-J = "The Computer Journal"}
@String{j-COMPUT-SCI-ENG = "Computing in Science and Engineering"}
@String{j-COMPUT-STAT-DATA-ANAL = "Computational Statistics \& Data Analysis"}
@String{j-COMPUTING = "Computing"}
@String{j-CURR-SCI = "Current Science"}
@String{j-ELECT-LETTERS = "Electronics Letters"}
@String{j-ELEM-MATH = "{Elemente der Mathematik}"}
@String{j-FOUND-PHYS = "Foundations of Physics"}
@String{j-GAMM-MIT = "Mitteilungen der Gesellschaft f{\"u}r
Angewandte Mathematik und Mechanik"}
@String{j-IEEE-ACCESS = "IEEE Access"}
@String{j-IEEE-ANN-HIST-COMPUT = "IEEE Annals of the History of Computing"}
@String{j-IEEE-SIGNAL-PROCESS-LETT = "IEEE Signal Processing Letters"}
@String{j-IEEE-TRANS-INF-THEORY = "IEEE Transactions on Information Theory"}
@String{j-IEEE-TRANS-KNOWL-DATA-ENG = "IEEE Transactions on Knowledge and Data
Engineering"}
@String{j-IEEE-TRANS-NEURAL-NETW = "IEEE Transactions on Neural Networks"}
@String{j-IEEE-TRANS-SIG-PROC = "IEEE Transactions on Signal Processing"}
@String{j-IEEE-TRANS-WIREL-COMMUN = "IEEE Transactions on Wireless
Communications"}
@String{j-INT-J-COMPUT-MATH = "International Journal of Computer Mathematics"}
@String{j-J-ACM = "Journal of the ACM"}
@String{j-J-ALGORITHMS-COMPUT-TECHNOL = "Journal of Algorithms \& Computational
Technology"}
@String{j-J-COMPUT-APPL-MATH = "Journal of Computational and Applied
Mathematics"}
@String{j-J-COMPUT-PHYS = "Journal of Computational Physics"}
@String{j-J-INEQUAL-APPL = "Journal of Inequalities and Applications"}
@String{j-J-OPT-THEORY-APPL = "Journal of Optimization Theory and
Applications"}
@String{j-J-MATH-PHYS = "Journal of Mathematical Physics"}
@String{j-J-RES-NATL-BUR-STAND-1934 = "Journal of Research of the National
Bureau of Standards (1934)"}
@String{j-J-SIAM = "Journal of the Society for Industrial and
Applied Mathematics"}
@String{j-LECT-NOTES-COMP-SCI = "Lecture Notes in Computer Science"}
@String{j-LECT-NOTES-MATH = "Lecture Notes in Mathematics"}
@String{j-LINEAR-ALGEBRA-APPL = "Linear Algebra and its Applications"}
@String{j-MATH-COMPUT = "Mathematics of Computation"}
@String{j-MATH-GAZ = "Mathematical Gazette"}
@String{j-MECH-RESEARCH-COMM = "Mechanics Research Communications"}
@String{j-NEURAL-COMP = "Neural Computation"}
@String{j-NORDISK-MATH-TIDSKR = "Nordisk Matematisk Tidskrift"}
@String{j-NORDISK-TIDSKR-INFORM-BEHAND = "Nordisk Tidskrift for
Informationsbehandling"}
@String{j-NUM-LIN-ALG-APPL = "Numerical Linear Algebra with Applications"}
@String{j-NUM-MATH = "Numerische Mathematik"}
@String{j-NUM-MATH-THEORY-METHODS-APPL = "Numerical Mathematics. Theory, Methods
and Applications"}
@String{j-NUMER-ALGORITHMS = "Numerical Algorithms"}
@String{j-NUMER-FUNCT-ANAL-OPTIM = "Numerical Functional Analysis and
Optimization"}
@String{j-OPTIM-METHODS-SOFTW = "Optimization Methods and Software"}
@String{j-OPTIMIZATION = "Optimization"}
@String{j-QUART-APPL-MATH = "Quarterly of Applied Mathematics"}
@String{j-QUART-J-MECH-APPLIED-MATH = "Quarterly Journal of Mechanics and
Applied Mathematics"}
@String{j-J-REINE-ANGEW-MATH = "{Journal f{\"u}r die reine und angewandte
Mathematik}"}
@String{j-SIAM-J-CONTROL-OPTIM = "SIAM Journal on Control and Optimization"}
@String{j-SIAM-J-MAT-ANA-APPL = "SIAM Journal on Matrix Analysis and
Applications"}
@String{j-SIAM-J-NUM-ANALYSIS-B = "Journal of the Society for Industrial and
Applied Mathematics: Series B, Numerical
Analysis"}
@String{j-SIAM-J-NUMER-ANAL = "SIAM Journal on Numerical Analysis"}
@String{j-SIAM-J-OPT = "SIAM Journal on Optimization"}
@String{j-SIAM-J-SCI-COMP = "SIAM Journal on Scientific Computing"}
@String{j-SIAM-NEWS = "SIAM News"}
@String{j-STAT-COMPUT = "Statistics and Computing"}
@String{j-STAT-PROB-LETT = "Statistics \& Probability Letters"}
@String{j-THEOR-COMP-SCI = "Theoretical Computer Science"}
@String{j-Z-ANGE-MATH-MECH = "{Zeitschrift f{\"u}r Angewandte Mathematik
und Mechanik}"}
@String{j-Z-ANGE-MATH-PHYS = "{Zeitschrift f{\"u}r Angewandte Mathematik
und Physik = Journal of Applied Mathematics
and Physics}"}
@String{pub-ACADEMIC = "Academic Press"}
@String{pub-ACADEMIC:adr = "New York, NY, USA"}
@String{pub-ACM = "ACM Press"}
@String{pub-ACM:adr = "New York, NY 10036, USA"}
@String{pub-AIP = "American Institute of Physics"}
@String{pub-AIP:adr = "Woodbury, NY, USA"}
@String{pub-AMS = "American Mathematical Society"}
@String{pub-AMS:adr = "Providence, RI, USA"}
@String{pub-BIBLIO-INST = "Bibliographisches Institut"}
@String{pub-BIBLIO-INST:adr = "Mannheim, Germany; Wien, Austria; Z{\"u}rich,
Switzerland"}
@String{pub-BIRKHAUSER = "Birkh{\"a}user"}
@String{pub-BIRKHAUSER:adr = "Cambridge, MA, USA; Berlin, Germany; Basel,
Switzerland"}
@String{pub-BIRKHAUSER-BOSTON = "Birkh{\"a}user Boston Inc."}
@String{pub-BIRKHAUSER-BOSTON:adr = "Cambridge, MA, USA"}
@String{pub-DUNOD = "Dunod"}
@String{pub-DUNOD:adr = "Paris, France"}
@String{pub-ELSEVIER = "Elsevier"}
@String{pub-ELSEVIER:adr = "Amsterdam, The Netherlands"}
@String{pub-IEEE = "IEEE Computer Society Press"}
@String{pub-IEEE:adr = "1109 Spring Street, Suite 300, Silver
Spring, MD 20910, USA"}
@String{pub-MIT = "MIT Press"}
@String{pub-MIT:adr = "Cambridge, MA, USA"}
@String{pub-NAUKA = "Nauka"}
@String{pub-NAUKA:adr = "Moscow, USSR"}
@String{pub-NBS = "U.S. National Bureau of Standards"}
@String{pub-NBS:adr = "Gaithersburg, MD, USA"}
@String{pub-NTIS = "National Technical Information Service"}
@String{pub-NTIS:adr = "Washington, DC, USA"}
@String{pub-PH = "Pren{\-}tice-Hall"}
@String{pub-PH:adr = "Upper Saddle River, NJ 07458, USA"}
@String{pub-SV = "Spring{\-}er-Ver{\-}lag"}
@String{pub-SV:adr = "Berlin, Germany~/ Heidelberg,
Germany~/ London, UK~/ etc."}
@String{pub-TEUBNER = "B. G. Teubner"}
@String{pub-TEUBNER:adr = "Stuttgart, Germany; Leipzig, Germany"}
@String{pub-USGPO = "United States Government Printing Office"}
@String{pub-USGPO:adr = "Washington, DC, USA"}
@PhdThesis{Stiefel:1935:RFDa,
author = "Eduard Stiefel",
title = "{Richtungsfelder und Fernparallelismus in
$n$-dimensionalen Mannigfaltigkeiten}. ({German})
[{Directional} fields remote parallelism in
$n$-dimensional manifolds]",
type = "{Diss. Math.} thesis",
number = "844",
publisher = "Orell F{\"u}ssli",
school = "Eidgen{\"o}ssische Technische Hochschule Z{\"u}rich
(ETH-Z)",
address = "Z{\"u}rich, Switzerland",
pages = "51",
year = "1935",
bibdate = "Wed Sep 02 17:42:09 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
advisor = "Heinz Hopf (1894--1971), Ferdinand Gonseth
(1890--1975)",
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
language = "German",
}
@Article{Stiefel:1935:RFDb,
author = "Eduard Stiefel",
title = "{Richtungsfelder und Fernparallelismus in
$n$-dimensionalen Mannigfaltigkeiten}. ({German})
[{Directional} fields remote parallelism in
$n$-dimensional manifolds]",
journal = j-COMMENT-MATH-HELV,
volume = "8",
number = "1",
pages = "305--353",
month = dec,
year = "1935",
CODEN = "COMHAX",
DOI = "https://doi.org/10.1007/BF01199559",
ISSN = "0010-2571 (print), 1420-8946 (electronic)",
ISSN-L = "0010-2571",
bibdate = "Wed Sep 02 14:44:38 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/BF01199559",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "Commentarii Mathematici Helvetici (Zurich)",
journal-URL = "https://link.springer.com/journal/14",
language = "German",
received = "20 August 1935",
xxpages = "3--51",
xxtitle = "{Richtungsfelder und Fernparallelismus in
Mannigfaltigkeiten}. ({German}) [{Direction} Fields and
Remote Parallelism in Manifolds]",
}
@Article{Stiefel:1937:SPG,
author = "E. Stiefel",
title = "{Zum Satz von Pohlke}. ({German}) [{On} {Pohlke}'s
theorem]",
journal = j-COMMENT-MATH-HELV,
volume = "10",
number = "1",
pages = "208--225",
month = dec,
year = "1937",
CODEN = "COMHAX",
DOI = "https://doi.org/10.1007/BF01214289",
ISSN = "0010-2571 (print), 1420-8946 (electronic)",
ISSN-L = "0010-2571",
bibdate = "Thu Sep 3 06:31:54 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/BF01214289",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "Commentarii Mathematici Helvetici (Zurich)",
journal-URL = "https://link.springer.com/journal/14",
language = "German",
}
@Article{Stiefel:1941:BZG,
author = "E. Stiefel",
title = "{{\"U}ber eine Beziehung zwischen geschlossenen
Lie'schen Gruppen und diskontinuierlichen
Bewegungsgruppen euklidischer R{\"a}ume und ihre
Anwendung auf die Aufz{\"a}hlung der einfachen
Lie'schen Gruppen}. ({German}) [{On} a relation between
closed {Lie} groups and discontinuous movement groups
of {Euclidean} spaces and their application to the
enumeration of the simple {Lie} groups]",
journal = j-COMMENT-MATH-HELV,
volume = "14",
pages = "350--380",
month = dec,
year = "1941",
CODEN = "COMHAX",
DOI = "https://doi.org/10.1007/BF02565625",
ISSN = "0010-2571 (print), 1420-8946 (electronic)",
ISSN-L = "0010-2571",
MRclass = "20.0X",
MRnumber = "7422",
MRreviewer = "Andr\'{e} Weil",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/BF02565625",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "Commentarii Mathematici Helvetici",
journal-URL = "https://link.springer.com/journal/14",
language = "German",
xxyear = "1942",
}
@Article{Stiefel:1941:RPR,
author = "Eduard Stiefel",
title = "{{\"U}ber Richtungsfelder in den projektiven
R{\"a}umen und einen Satz aus der reellen Algebra}.
({German}) [{On} directional fields in the projective
spaces and a theorem from real algebra]",
journal = j-COMMENT-MATH-HELV,
volume = "13",
pages = "201--218",
year = "1941",
CODEN = "COMHAX",
DOI = "https://doi.org/10.1007/BF01378061",
ISSN = "0010-2571 (print), 1420-8946 (electronic)",
ISSN-L = "0010-2571",
MRclass = "56.0X",
MRnumber = "4786",
MRreviewer = "S. Eilenberg",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/BF01378061",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "Commentarii Mathematici Helvetici",
journal-URL = "https://link.springer.com/journal/14",
language = "German",
}
@Article{Stiefel:1944:KBC,
author = "E. Stiefel",
title = "{Kristallographische Bestimmung der Charaktere der
geschlossenen Lie'schen Gruppen}. ({German})
[{Crystallographic} determination of the characters of
the closed {Lie} groups]",
journal = j-COMMENT-MATH-HELV,
volume = "17",
pages = "165--200",
year = "1944",
CODEN = "COMHAX",
DOI = "https://doi.org/10.1007/BF02566240",
ISSN = "0010-2571 (print), 1420-8946 (electronic)",
ISSN-L = "0010-2571",
MRclass = "20.0X",
MRnumber = "13163",
MRreviewer = "P. A. Smith",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/BF02566240",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "Commentarii Mathematici Helvetici",
journal-URL = "https://link.springer.com/journal/14",
language = "German",
xxyear = "1945",
}
@Book{Stiefel:1947:LDG,
author = "Eduard Stiefel",
title = "{Lehrbuch der darstellenden Geometrie}. ({German})
[{Textbook} of descriptive geometry]",
volume = "11",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "173",
year = "1947",
MRclass = "48.0X",
MRnumber = "0022077",
MRreviewer = "E. Lukacs",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
series = "Lehrb{\"{u}}cher und Monographien aus dem Gebiete der
exakten Wissenschaften",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
language = "German",
}
@InCollection{Stiefel:1949:NBG,
author = "E. Stiefel",
booktitle = "Topologie alg{\'e}brique",
title = "Sur les nombres de {Betti} des groupes de {Lie} clos.
({French}) [{On} the {Betti} numbers of closed {Lie}
groups]",
publisher = "Centre de la Recherche Scientifique",
address = "Paris, France",
pages = "97--101",
year = "1949",
MRclass = "20.0X",
MRnumber = "0033833",
MRreviewer = "C. Chevalley",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
series = "Colloques Internationaux du Centre National de la
Recherche Scientifique, no. 12",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
language = "French",
}
@Article{Baumann:1950:BGB,
author = "E. Baumann and F. Ga{\ss}mann and N. Schaetti and E.
Stiefel and P. Bernays and E. Wanner and E. Stiefel",
title = "{Buchbesprechungen}. ({German}) [{Book} Reviews]",
journal = j-Z-ANGE-MATH-PHYS,
volume = "1",
number = "2",
pages = "??--??",
month = "",
year = "1950",
CODEN = "ZAMPDB",
DOI = "https://doi.org/10.1007/BF02009327",
ISSN = "0044-2275 (print), 1420-9039 (electronic)",
ISSN-L = "0044-2275",
bibdate = "Thu Sep 3 06:31:54 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/BF02009327",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "{Zeitschrift f{\"u}r Angewandte Mathematik und Physik
= Journal of Applied Mathematics and Physics}",
journal-URL = "http://link.springer.com/journal/33",
language = "German",
}
@Article{Bernath:1950:BGB,
author = "K. Bernath and H. Favre and M. Fierz and F. Held and
R. S{\"a}nger and E. Stiefel",
title = "{Buchbesprechungen}. ({German}) [{Book} Reviews]",
journal = j-Z-ANGE-MATH-PHYS,
volume = "1",
number = "4",
pages = "271--276",
month = jul,
year = "1950",
CODEN = "ZAMPDB",
DOI = "https://doi.org/10.1007/BF02020072",
ISSN = "0044-2275 (print), 1420-9039 (electronic)",
ISSN-L = "0044-2275",
bibdate = "Thu Sep 3 06:31:54 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/BF02020072",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "{Zeitschrift f{\"u}r Angewandte Mathematik und Physik
= Journal of Applied Mathematics and Physics}",
journal-URL = "http://link.springer.com/journal/33",
language = "German",
}
@Article{Busch:1950:BGB,
author = "G. Busch and W. Furrer and E. Stiefel and H. Thiemann
and R. von Wattenwyl",
title = "{Buchbesprechungen}. ({German}) [{Book} Reviews]",
journal = j-Z-ANGE-MATH-PHYS,
volume = "1",
number = "1",
pages = "77--80",
month = "",
year = "1950",
CODEN = "ZAMPDB",
DOI = "https://doi.org/10.1007/BF02008892",
ISSN = "0044-2275 (print), 1420-9039 (electronic)",
ISSN-L = "0044-2275",
bibdate = "Thu Sep 3 06:31:54 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/BF02008892",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "{Zeitschrift f{\"u}r Angewandte Mathematik und Physik
= Journal of Applied Mathematics and Physics}",
journal-URL = "http://link.springer.com/journal/33",
language = "German",
}
@Article{Rutishauser:1950:PDRa,
author = "Heinz Rutishauser and Ambros Speiser and Eduard
Stiefel",
title = "{Programmgesteuerte digitale Rechenger{\"a}te
(elektronische Rechenmaschinen)}. {I}",
journal = j-Z-ANGE-MATH-PHYS,
volume = "1",
number = "5",
pages = "277--297",
month = sep,
year = "1950",
CODEN = "ZAMPDB",
DOI = "https://doi.org/10.1007/bf02112364",
ISSN = "0044-2275 (print), 1420-9039 (electronic)",
ISSN-L = "0044-2275",
MRclass = "65.0X",
MRnumber = "40808",
MRreviewer = "H. H. Goldstine",
bibdate = "Mon Aug 24 21:56:15 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/bf02112364",
acknowledgement = ack-nhfb,
author-dates = "Ambros Speiser (13 November 1922--10 May 2003); Heinz
Rutishauser (30 January 1918--10 November 1970); Eduard
Stiefel (21 April 1909--25 November 1978)",
fjournal = "Zeitschrift f{\"u}r Angewandte Mathematik und Physik.
ZAMP. Journal of Applied Mathematics and Physics.
Journal de Math\'{e}matiques et de Physique
Appliqu\'{e}es",
journal-URL = "http://link.springer.com/journal/33",
remark = "This paper is missing from the publisher Web site for
the journal; the last article there ends on page 276.
That may be due to the listing of the article as
``Zusammenfassender Bericht (I. Teil) [Summary report
(Part I)].",
}
@Article{Rutishauser:1950:PDRb,
author = "Heinz Rutishauser and Ambros Speiser and Eduard
Stiefel",
title = "{Programmgesteuerte digitale Rechenger{\"a}te
(elektronische Rechenmaschinen)}. {II}",
journal = j-Z-ANGE-MATH-PHYS,
volume = "1",
number = "5",
pages = "339--362",
month = sep,
year = "1950",
CODEN = "ZAMPDB",
DOI = "https://doi.org/10.1007/bf02112364",
ISSN = "0044-2275 (print), 1420-9039 (electronic)",
ISSN-L = "0044-2275",
MRclass = "65.0X",
MRnumber = "40808",
MRreviewer = "H. H. Goldstine",
bibdate = "Mon Aug 24 21:56:15 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/bf02112364",
acknowledgement = ack-nhfb,
author-dates = "Ambros Speiser (13 November 1922--10 May 2003); Heinz
Rutishauser (30 January 1918--10 November 1970); Eduard
Stiefel (21 April 1909--25 November 1978)",
fjournal = "Zeitschrift f{\"u}r Angewandte Mathematik und Physik.
ZAMP. Journal of Applied Mathematics and Physics.
Journal de Math\'{e}matiques et de Physique
Appliqu\'{e}es",
journal-URL = "http://link.springer.com/journal/33",
}
@Article{Stiefel:1950:NEG,
author = "Eduard Stiefel and Hans Ziegler",
title = "{Nat{\"u}rliche Eigenwertprobleme. I}. ({German})
[{Natural} eigenvalue problems. {I}]",
journal = j-Z-ANGE-MATH-PHYS,
volume = "1",
pages = "111--138",
year = "1950",
CODEN = "ZAMPDB",
DOI = "https://doi.org/10.1007/bf02009323",
ISSN = "0044-2275 (print), 1420-9039 (electronic)",
ISSN-L = "0044-2275",
MRclass = "36.0X",
MRnumber = "35351",
MRreviewer = "E. H. Rothe",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/bf02009323",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "Zeitschrift f{\"{u}}r Angewandte Mathematik und
Physik. ZAMP. Journal of Applied Mathematics and
Physics. Journal de Math\'{e}matiques et de Physique
Appliqu\'{e}es",
journal-URL = "http://link.springer.com/journal/33",
language = "German",
}
@Article{Stiefel:1950:PER,
author = "E. Stiefel",
title = "{Die programmgesteuerte elektromechanische
Rechenmaschine der ETH}. ({German}) [{The}
program-controlled electromechanical calculating
machine at {ETH}]",
journal = j-Z-ANGE-MATH-PHYS,
volume = "1",
number = "5",
pages = "334--335",
month = sep,
year = "1950",
CODEN = "ZAMPDB",
DOI = "https://doi.org/10.1007/BF02112368",
ISSN = "0044-2275 (print), 1420-9039 (electronic)",
ISSN-L = "0044-2275",
bibdate = "Thu Sep 3 06:31:54 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/BF02112368",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "{Zeitschrift f{\"u}r Angewandte Mathematik und Physik
= Journal of Applied Mathematics and Physics}",
journal-URL = "http://link.springer.com/journal/33",
language = "German",
}
@Article{Rutishauser:1951:PDRa,
author = "Heinz Rutishauser and Ambros Speiser and Eduard
Stiefel",
title = "{Programmgesteuerte digitale Rechenger{\"a}te
(elektronische Rechenmaschinen). III}. ({German})
[{Program}-controlled digital computing devices
(electronic calculating machines). {III}]",
journal = j-Z-ANGE-MATH-PHYS,
volume = "2",
number = "1",
pages = "1--25",
month = jan,
year = "1951",
CODEN = "ZAMPDB",
DOI = "https://doi.org/10.1007/bf02589810",
ISSN = "0044-2275 (print), 1420-9039 (electronic)",
ISSN-L = "0044-2275",
MRclass = "65.0X",
MRnumber = "40809",
MRreviewer = "H. H. Goldstine",
bibdate = "Mon Aug 24 21:56:15 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/bf02589810",
acknowledgement = ack-nhfb,
author-dates = "Ambros Speiser (13 November 1922--10 May 2003); Heinz
Rutishauser (30 January 1918--10 November 1970); Eduard
Stiefel (21 April 1909--25 November 1978)",
fjournal = "Zeitschrift f{\"u}r Angewandte Mathematik und Physik.
ZAMP. Journal of Applied Mathematics and Physics.
Journal de Math\'{e}matiques et de Physique
Appliqu\'{e}es",
journal-URL = "http://link.springer.com/journal/33",
language = "German",
}
@Article{Rutishauser:1951:PDRb,
author = "Heinz Rutishauser and Ambros Speiser and Eduard
Stiefel",
title = "{Programmgesteuerte digitale Rechenger{\"a}te
(elektronische Rechenmaschinen). IV}. ({German})
[{Program}-controlled digital computing devices
(electronic calculating machines). {IV}]",
journal = j-Z-ANGE-MATH-PHYS,
volume = "2",
number = "2",
pages = "62--92",
month = mar,
year = "1951",
CODEN = "ZAMPDB",
DOI = "https://doi.org/10.1007/bf02589810",
ISSN = "0044-2275 (print), 1420-9039 (electronic)",
ISSN-L = "0044-2275",
MRclass = "65.0X",
MRnumber = "40809",
MRreviewer = "H. H. Goldstine",
bibdate = "Mon Aug 24 21:56:15 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/bf02589810",
acknowledgement = ack-nhfb,
author-dates = "Ambros Speiser (13 November 1922--10 May 2003); Heinz
Rutishauser (30 January 1918--10 November 1970); Eduard
Stiefel (21 April 1909--25 November 1978)",
fjournal = "Zeitschrift f{\"u}r Angewandte Mathematik und Physik.
ZAMP. Journal of Applied Mathematics and Physics.
Journal de Math\'{e}matiques et de Physique
Appliqu\'{e}es",
journal-URL = "http://link.springer.com/journal/33",
language = "German",
}
@Book{Rutishauser:1951:PDRc,
author = "Heinz Rutishauser and Ambros Speiser and Eduard
Stiefel",
title = "{Programmgesteuerte digitale Rechenger{\"a}te
(elektronische Rechenmaschinen)}. ({German})
[{Program}-controlled digital computing devices
(electronic calculating machines)]",
volume = "2",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "102",
year = "1951",
DOI = "https://doi.org/10.1007/978-3-0348-4113-9",
bibdate = "Wed Aug 26 10:14:18 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
series = "Mitteilungen aus dem Institut f{\"u}r angewandte
Mathematik",
URL = "https://link.springer.com/article/10.1007/978-3-0348-4113-9;
https://link.springer.com/book/10.1007/978-3-0348-4113-9",
acknowledgement = ack-nhfb,
author-dates = "Ambros Speiser (13 November 1922--10 May 2003); Heinz
Rutishauser (30 January 1918--10 November 1970); Eduard
Stiefel (21 April 1909--25 November 1978)",
language = "German",
remark = "Reprinted from four articles in Zeitschrift f{\"u}r
Angewandte Mathematik und Physik.",
tableofcontents = "Front Matter / ii--5 \\
Grundlagen und wissenschaftliche Bedeutung / 7--15 \\
Organisation und Arbeitsweise / 16--19 \\
Arithmetische Prinzipien / 20--42 \\
Vorbereitung von Rechenpl{\"a}nen / 43--66 \\
Physikalische Grundlagen / 67--95 \\
Back Matter / 96--105",
}
@Article{Stiefel:1951:KGR,
author = "E. Stiefel",
title = "{Kongresse auf dem Gebiet der reinen und angewandten
Mathematik}. ({German}) [{Congresses} in the field of
pure and applied mathematics]",
journal = j-Z-ANGE-MATH-PHYS,
volume = "2",
number = "4",
pages = "301--302",
month = "",
year = "1951",
CODEN = "ZAMPDB",
DOI = "https://doi.org/10.1007/BF02579694",
ISSN = "0044-2275 (print), 1420-9039 (electronic)",
ISSN-L = "0044-2275",
bibdate = "Thu Sep 3 06:31:54 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/BF02579694",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "{Zeitschrift f{\"u}r Angewandte Mathematik und Physik
= Journal of Applied Mathematics and Physics}",
journal-URL = "http://link.springer.com/journal/33",
language = "German",
}
@Article{Hestenes:1952:MCG,
author = "Magnus R. Hestenes and Eduard Stiefel",
title = "Methods of Conjugate Gradients for Solving Linear
Systems",
journal = j-J-RES-NATL-BUR-STAND-1934,
volume = "49",
pages = "409--436 (1953)",
year = "1952",
ISSN = "0091-0635 (print), 2376-5305 (electronic)",
ISSN-L = "0091-0635",
MRclass = "65.0X",
MRnumber = "0060307",
MRreviewer = "A. S. Householder",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "Journal of Research of the National Bureau of
Standards (1934)",
journal-URL = "https://www.nist.gov/nist-research-library/journal-research-nist/past-papers",
remark = "This is the paper that introduced conjugate gradient
methods, which remain in wide use in numeric
computation, with many algorithmic enhancements. The
MathSciNet database lists over 1700 publications about
conjugate gradients.",
}
@Article{Stiefel:1952:CRE,
author = "E. Stiefel",
title = "On {Cauchy--Riemann} equations in higher dimensions",
journal = j-J-RES-NATL-BUR-STAND-1934,
volume = "48",
pages = "395--398",
year = "1952",
ISSN = "0160-1741 (print), 2376-5259 (electronic)",
ISSN-L = "0160-1741",
MRclass = "30.0X",
MRnumber = "0048596",
MRreviewer = "E. F. Beckenbach",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "Journal of Research of the National Bureau of
Standards",
journal-URL = "https://www.nist.gov/nist-research-library/journal-research-nist/past-papers",
}
@Article{Stiefel:1952:EMR,
author = "Eduard Stiefel",
title = "{{\"U}ber einige Methoden der Relaxationsrechnung}.
({German}) [{On} some methods of relaxation
calculation]",
journal = j-Z-ANGE-MATH-PHYS,
volume = "3",
pages = "1--33",
year = "1952",
CODEN = "ZAMPDB",
DOI = "https://doi.org/10.1007/bf02080981",
ISSN = "0044-2275 (print), 1420-9039 (electronic)",
ISSN-L = "0044-2275",
MRclass = "65.0X",
MRnumber = "47409",
MRreviewer = "W. E. Milne",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/bf02080981",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "Zeitschrift f{\"{u}}r Angewandte Mathematik und
Physik. ZAMP. Journal of Applied Mathematics and
Physics. Journal de Math\'{e}matiques et de Physique
Appliqu\'{e}es",
journal-URL = "http://link.springer.com/journal/33",
language = "German",
}
@Article{Stiefel:1952:TAG,
author = "E. Stiefel",
title = "Two applications of group characters to the solution
of boundary-value problems",
journal = j-J-RES-NATL-BUR-STAND-1934,
volume = "48",
pages = "424--427",
year = "1952",
ISSN = "0160-1741 (print), 2376-5259 (electronic)",
ISSN-L = "0160-1741",
MRclass = "65.0X",
MRnumber = "0051587",
MRreviewer = "J. Kuntzmann",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "Journal of Research of the National Bureau of
Standards",
journal-URL = "https://www.nist.gov/nist-research-library/journal-research-nist/past-papers",
}
@Article{Baumgartner:1953:BGB,
author = "W. Baumgartner and E. Stiefel and H. Rutishauser",
title = "{Buchbesprechungen}. ({German}) [{Book} reviews]",
journal = j-Z-ANGE-MATH-PHYS,
volume = "4",
number = "1",
pages = "87--88",
month = jan,
year = "1953",
CODEN = "ZAMPDB",
DOI = "https://doi.org/10.1007/BF02075310",
ISSN = "0044-2275 (print), 1420-9039 (electronic)",
ISSN-L = "0044-2275",
bibdate = "Mon Aug 24 21:51:04 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/BF02075310",
acknowledgement = ack-nhfb,
author-dates = "Heinz Rutishauser (30 January 1918--10 November 1970);
Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "{Zeitschrift f{\"u}r Angewandte Mathematik und Physik
= Journal of Applied Mathematics and Physics}",
journal-URL = "http://link.springer.com/journal/33",
language = "German",
}
@Article{Stiefel:1953:AAG,
author = "Eduard Stiefel",
title = "{Ausgleichung ohne Aufstellung der Gausschen
Normalgleichungen}. ({German}) [{Adjustment} without
exhibiting the {Gaussian} normal equations]",
journal = "Wiss. Z. Tech. Hochsch. Dresden",
volume = "2",
pages = "441--442",
year = "1953",
MRclass = "65.0X",
MRnumber = "0070262",
MRreviewer = "G. E. Forsythe",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
language = "German",
}
@Article{Stiefel:1953:ITF,
author = "E. Stiefel",
title = "{Zur Interpolation von tabellierten Funktionen durch
Exponentialsummen und zur Berechnung von Eigenwerten
aus den Schwarzschen Konstanten}. ({German}) [{On}
interpolation of tabulated functions by exponential
sums and on the calculation of eigenvalues from the
{Schwarz}'s constants]",
journal = j-Z-ANGE-MATH-MECH,
volume = "33",
pages = "260--262",
year = "1953",
CODEN = "ZAMMAX",
DOI = "https://doi.org/10.1002/zamm.19530330806",
ISSN = "0044-2267 (print), 1521-4001 (electronic)",
ISSN-L = "0044-2267",
MRclass = "65.0X",
MRnumber = "59061",
MRreviewer = "D. C. Gilles",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "Zeitschrift f{\"{u}}r Angewandte Mathematik und
Mechanik. Ingenieurwissenschaftliche
Forschungsarbeiten",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1521-4001",
language = "German",
}
@InCollection{Stiefel:1953:MCA,
author = "E. Stiefel",
booktitle = "Les machines {\`a} calculer et la pens{\'e}e humaine",
title = "La machine {\`a} calculer arithm{\'e}tique ``{Z4}'' de
l'{Ecole} {Polytechnique} {F}{\'e}d{\'e}rale {\`a}
{Zurich} ({Suisse}) et son application {\`a} la
r{\'e}solution d'une {\'e}quation aux d{\'e}riv{\'e}es
partielles de type elliptique. ({French}) [{The}
arithmetic calculator ``{Z4}'' of the {Swiss Federal
Polytechnical University in Zurich (Switzerland)} and
its application to the solution of an elliptical type
partial derivative equation]",
publisher = "Centre National de la Recherche Scientifique",
address = "Paris, France",
pages = "33--40",
year = "1953",
MRclass = "65.0X",
MRnumber = "0066093",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
series = "Colloques internationaux du Centre National de la
Recherche Scientifique, no 37",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
language = "French",
}
@Article{Stiefel:1953:OMB,
author = "E. Stiefel",
title = "{3. {\"O}sterreichischer Mathematikerkongress vom 9.
bis 14. September 1952 in Salzburg}. ({German}) [3.
{Austrian Congress of Mathematicians from 9th to 14th
September 1952 in Salzburg}]",
journal = j-Z-ANGE-MATH-PHYS,
volume = "4",
number = "1",
pages = "86--87",
month = jan,
year = "1953",
CODEN = "ZAMPDB",
DOI = "https://doi.org/10.1007/BF02075309",
ISSN = "0044-2275 (print), 1420-9039 (electronic)",
ISSN-L = "0044-2275",
bibdate = "Thu Sep 3 06:31:54 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/BF02075309",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "{Zeitschrift f{\"u}r Angewandte Mathematik und Physik
= Journal of Applied Mathematics and Physics}",
journal-URL = "http://link.springer.com/journal/33",
language = "German",
}
@InCollection{Stiefel:1953:SSM,
author = "Eduard Stiefel",
booktitle = "Simultaneous linear equations and the determination of
eigenvalues",
title = "Some special methods of relaxation technique",
publisher = pub-USGPO,
address = pub-USGPO:adr,
pages = "43--48",
year = "1953",
MRclass = "65.0X",
MRnumber = "0057621",
MRreviewer = "E. Isaacson",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
series = "National Bureau of Standards Applied Mathematics
Series, No. 29",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Stiefel:1954:EAS,
author = "E. Stiefel",
title = "{Ermittlung von allgemeinen St{\"o}rungen einer
Planetenbewegung mit Hilfe der Ergebnisse einer
speziellen St{\"o}rungsrechnung}. ({German})
[{Determination} of general disturbances of a planetary
motion with help the results of a special disturbance
calculation]",
journal = j-ARCH-MATH,
volume = "5",
number = "4--6",
pages = "347--354",
month = aug,
year = "1954",
CODEN = "ACVMAL",
DOI = "https://doi.org/10.1007/BF01898376",
ISSN = "0003-889x (print), 1420-8938 (electronic)",
ISSN-L = "0003-889X",
MRclass = "85.0X",
MRnumber = "64523",
MRreviewer = "D. Brouwer",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/BF01898376",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "Archiv der Mathematik",
journal-URL = "http://link.springer.com/journal/volumesAndIssues/13",
language = "German",
}
@Article{Bas:1955:BGB,
author = "E. B. Bas and T. Stutz and E. Roth-Desmeules and E.
Stiefel and W. Pauli and others",
title = "{Buchbesprechungen}. ({German}) [{Book} reviews]",
journal = j-Z-ANGE-MATH-PHYS,
volume = "6",
number = "1",
pages = "76--80",
month = jan,
year = "1955",
CODEN = "ZAMPDB",
DOI = "https://doi.org/10.1007/BF01600738",
ISSN = "0044-2275 (print), 1420-9039 (electronic)",
ISSN-L = "0044-2275",
bibdate = "Fri Jul 6 14:52:30 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/pauli-wolfgang.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "http://www.springerlink.com/content/k2x4416g24577333/fulltext.pdf;
https://link.springer.com/article/10.1007/BF01600738",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "{Zeitschrift f{\"u}r Angewandte Mathematik und Physik
= Journal of Applied Mathematics and Physics}",
journal-URL = "http://link.springer.com/journal/33",
language = "German",
}
@Article{deHaller:1955:BGB,
author = "P. de Haller and W. Epprecht and E. Stiefel and W.
Saxer",
title = "{Buchbesprechungen}. ({German}) [{Book} Reviews]",
journal = j-Z-ANGE-MATH-PHYS,
volume = "6",
number = "5",
pages = "??--??",
month = "",
year = "1955",
CODEN = "ZAMPDB",
DOI = "https://doi.org/10.1007/BF01589772",
ISSN = "0044-2275 (print), 1420-9039 (electronic)",
ISSN-L = "0044-2275",
bibdate = "Thu Sep 3 06:31:54 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/BF01589772",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "{Zeitschrift f{\"u}r Angewandte Mathematik und Physik
= Journal of Applied Mathematics and Physics}",
journal-URL = "http://link.springer.com/journal/33",
language = "German",
}
@Article{Gunthard:1955:BGB,
author = "Hs. H. G{\"u}nthard and E. Roth-Desmeules and R.
S{\"a}nger and W. Baumgartner and F. Tank and F. Held
and E. Stiefel",
title = "{Buchbesprechungen}. ({German}) [{Book} Reviews]",
journal = j-Z-ANGE-MATH-PHYS,
volume = "6",
number = "4",
pages = "341--344",
month = jul,
year = "1955",
CODEN = "ZAMPDB",
DOI = "https://doi.org/10.1007/BF01587636",
ISSN = "0044-2275 (print), 1420-9039 (electronic)",
ISSN-L = "0044-2275",
bibdate = "Thu Sep 3 06:31:54 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/BF01587636",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "{Zeitschrift f{\"u}r Angewandte Mathematik und Physik
= Journal of Applied Mathematics and Physics}",
journal-URL = "http://link.springer.com/journal/33",
language = "German",
}
@Article{Stiefel:1955:BOM,
author = "E. Stiefel",
title = "{Bemerkung zur obigen Mitteilung von Herrn M. Hosszu}.
({German}) [{Comment} on the message above from {Mr. M.
Hosszu}]",
journal = j-Z-ANGE-MATH-PHYS,
volume = "6",
number = "2",
pages = "144--145",
month = mar,
year = "1955",
CODEN = "ZAMPDB",
DOI = "https://doi.org/10.1007/BF01607303",
ISSN = "0044-2275 (print), 1420-9039 (electronic)",
ISSN-L = "0044-2275",
MRclass = "39.0X",
MRnumber = "68722",
MRreviewer = "P. E. Guenther",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/BF01607303",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "Zeitschrift f{\"{u}}r Angewandte Mathematik und
Physik. ZAMP. Journal of Applied Mathematics and
Physics. Journal de Math\'{e}matiques et de Physique
Appliqu\'{e}es",
journal-URL = "http://link.springer.com/journal/33",
language = "German",
}
@Article{Stiefel:1955:ERB,
author = "E. Stiefel",
title = "{Elektronische Rechenautomaten als Beispiel zur
allgemeinen Kybernetik}. ({German}) [{Electronic}
calculators as example for general cybernetics]",
journal = "Actes Soc. Helv. Sci. Nat.",
volume = "135",
pages = "53--62",
year = "1955",
ISSN = "0080-7362",
ISSN-L = "0080-7362",
MRclass = "68.0X",
MRnumber = "77254",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "Actes de la Soci\'{e}t\'{e} Helv\'{e}tique des
Sciences Naturelles. Verhandlungen der Schweizerischen
Naturforschenden Gesellschaft",
language = "German",
}
@Book{Stiefel:1955:KPL,
author = "Eduard L. Stiefel",
title = "Kernel polynomials in linear algebra and their
numerical applications. {Four} lectures on solving
linear equations and determining eigenvalues",
publisher = pub-NBS,
address = pub-NBS:adr,
pages = "52",
year = "1955",
MRclass = "65.0X",
MRnumber = "0075675",
MRreviewer = "G. E. Forsythe",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Stiefel:1955:RBS,
author = "E. Stiefel",
title = "{Relaxationsmethoden bester Strategie zur L{\"o}sung
linearer Gleichungssysteme}. ({German}) [{Relaxation}
methods' best strategy for solving linear systems of
equations]",
journal = j-COMMENT-MATH-HELV,
volume = "29",
number = "1",
pages = "157--179",
month = dec,
year = "1955",
CODEN = "COMHAX",
DOI = "https://doi.org/10.1007/BF02564277",
ISSN = "0010-2571 (print), 1420-8946 (electronic)",
ISSN-L = "0010-2571",
MRclass = "65.0X",
MRnumber = "71119",
MRreviewer = "G. E. Forsythe",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/BF02564277",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "Commentarii Mathematici Helvetici",
journal-URL = "https://link.springer.com/journal/14",
language = "German",
}
@Book{Stiefel:1955:RID,
author = "Eduard Stiefel",
title = "{Rechenautomaten im Dienste der Technik. Erfahrungen
mit dem Zuse-Rechenautomaten Z4}. ({German})
[{Calculating} machines in the service of technology.
{Experience} with the {Zuse}-calculator {Z4}]",
volume = "45",
publisher = "Westdeutscher Verlag",
address = "Cologne and Opladen, West Germany",
pages = "29--45; Diskussion 47--65",
year = "1955",
MRclass = "68.0X",
MRnumber = "0073311",
MRreviewer = "H. H. Goldstine",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
series = "Arbeitsgemeinschaft f{\"{u}}r Forschung des Landes
Nordrhein-Westfalen. Heft",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
language = "German",
}
@Article{Stiefel:1956:CIC,
author = "E. Stiefel",
title = "{Congr{\`e}s international de cybern{\'e}tique}.
({French}) [{International Congress of Cybernetics}]",
journal = j-Z-ANGE-MATH-PHYS,
volume = "7",
number = "2",
pages = "170--170",
month = mar,
year = "1956",
CODEN = "ZAMPDB",
DOI = "https://doi.org/10.1007/BF01600789",
ISSN = "0044-2275 (print), 1420-9039 (electronic)",
ISSN-L = "0044-2275",
bibdate = "Thu Sep 3 06:31:54 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/BF01600789",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "{Zeitschrift f{\"u}r Angewandte Mathematik und Physik
= Journal of Applied Mathematics and Physics}",
journal-URL = "http://link.springer.com/journal/33",
language = "French",
}
@Article{Stiefel:1956:SFI,
author = "E. Stiefel",
title = "On solving {Fredholm} integral equations.
{Applications} to conformal mapping and variational
problems of potential theory",
journal = j-J-SIAM,
volume = "4",
number = "2",
pages = "63--85",
month = jun,
year = "1956",
CODEN = "JSIMAV",
ISSN = "0368-4245 (print), 1095-712X (electronic)",
ISSN-L = "0368-4245",
MRclass = "65.3X",
MRnumber = "87226",
MRreviewer = "M. R. Hestenes",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/siam.bib; JSTOR
database",
URL = "https://www.jstor.org/stable/2098726",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "Journal of the Society for Industrial and Applied
Mathematics",
journal-URL = "http://epubs.siam.org/loi/smjmap.1",
}
@Article{Weber:1956:BGB,
author = "H. Weber and E. Roth-Desmeules and Ed. Gerecke and E.
Stiefel and H. Rutishauser and M. Jeger and W. Hoppe
and H. Favre and J. Zeller and A. A. Rusterholz",
title = "{Buchbesprechungen}. ({German}) [{Book} reviews]",
journal = j-Z-ANGE-MATH-PHYS,
volume = "7",
number = "3",
pages = "265--272",
month = may,
year = "1956",
CODEN = "ZAMPDB",
DOI = "https://doi.org/10.1007/BF02044475",
ISSN = "0044-2275 (print), 1420-9039 (electronic)",
ISSN-L = "0044-2275",
bibdate = "Mon Aug 24 21:51:04 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/BF02044475",
acknowledgement = ack-nhfb,
author-dates = "Heinz Rutishauser (30 January 1918--10 November 1970);
Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "{Zeitschrift f{\"u}r Angewandte Mathematik und Physik
= Journal of Applied Mathematics and Physics}",
journal-URL = "http://link.springer.com/journal/33",
language = "German",
}
@Article{Stiefel:1957:ETV,
author = "E. Stiefel",
title = "{Einf{\"u}hrung in die Theorie der verallgemeinerten
Funktionen (Distributionen) als mathematisches Werkzeug
zur Behandlung linearer Regelungen}. ({German})
[{Introduction} to the theory of generalized functions
(distributions) as a mathematical tool for handling
linear controls]",
journal = "Bull. Schweiz. Elektrotechn. Vereins",
volume = "1957",
number = "15",
pages = "3--8",
year = "1957",
ISSN = "0036-1321",
ISSN-L = "0036-1321",
MRclass = "93.00",
MRnumber = "100525",
MRreviewer = "A. Erd\'{e}lyi",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "Bulletin des Schweizerischen Elektrotechnischen
Vereins",
language = "German",
}
@InProceedings{Stiefel:1957:RDR,
author = "E. Stiefel",
booktitle = "{Proceedings of the International Congress of
Mathematicians, Amsterdam, 1954, Vol. 1}",
title = "Recent developments in relaxation techniques",
publisher = "Erven P. Noordhoff N.V. and North-Holland Publishing
Co.",
address = "Groningen and Amsterdam, The Netherlands",
pages = "384--391",
year = "1957",
MRclass = "65.00",
MRnumber = "0100346",
MRreviewer = "D. M. Young, Jr.",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Lauchli:1958:BGB,
author = "P. L{\"a}uchli and E. Stiefel and C. Enz and E.
Roth-Desmeules and Th. Ginsburg and M. Strutt",
title = "{Buchbesprechungen}. ({German}) [{Book} reviews]",
journal = j-Z-ANGE-MATH-PHYS,
volume = "9",
number = "1",
pages = "93--96",
month = jan,
year = "1958",
CODEN = "ZAMPDB",
DOI = "https://doi.org/10.1007/BF01596870",
ISSN = "0044-2275 (print), 1420-9039 (electronic)",
ISSN-L = "0044-2275",
bibdate = "Thu Sep 3 06:31:54 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/BF01596870",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "{Zeitschrift f{\"u}r Angewandte Mathematik und Physik
= Journal of Applied Mathematics and Physics}",
journal-URL = "http://link.springer.com/journal/33",
language = "German",
}
@InCollection{Stiefel:1958:KPL,
author = "Eduard L. Stiefel",
booktitle = "Further Contributions to the Solution of Simultaneous
Linear Equations and the Determination of Eigenvalues",
title = "Kernel polynomials in linear algebra and their
numerical applications",
volume = "49",
publisher = pub-NBS,
address = pub-NBS:adr,
pages = "1--22",
year = "1958",
ISSN = "0083-1786",
ISSN-L = "0083-1786",
MRclass = "65.3X",
MRnumber = "92214",
MRreviewer = "M. R. Hestenes",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
series = "National Bureau of Standards. Applied Mathematics
Series",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InCollection{Engeli:1959:C,
author = "M. Engeli and Th. Ginsburg and H. Rutishauser and E.
Stiefel",
title = "Conclusions",
crossref = "Engeli:1959:RIM",
chapter = "V",
pages = "102--105",
year = "1959",
bibdate = "Mon Aug 24 21:51:04 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
author-dates = "Heinz Rutishauser (30 January 1918--10 November 1970);
Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Stiefel:1959:DLT,
author = "E. Stiefel",
title = "{{\"U}ber diskrete und lineare
Tschebyscheff-Approximationen}. ({German}) [{On}
Discrete and Linear {Chebyshev} Approximations]",
journal = j-NUM-MATH,
volume = "1",
pages = "1--28",
month = dec,
year = "1959",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01386369",
ISSN = "0029-599x (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65.00 (41.00)",
MRnumber = "0107960",
MRreviewer = "M. R. Hestenes",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "https://link.springer.com/article/10.1007/BF01386369",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
language = "German",
}
@Article{Stiefel:1959:IKN,
author = "E. Stiefel",
title = "{Internationale Konferenz f{\"u}r numerische
Informationsverarbeitung, 15.--20. Juni 1959 in Paris}.
({German}) [{International Conference for Numerical
Information Processing, 15th--20th June 1959 in
Paris}]",
journal = j-Z-ANGE-MATH-PHYS,
volume = "10",
number = "1",
pages = "104--104",
month = jan,
year = "1959",
CODEN = "ZAMPDB",
DOI = "https://doi.org/10.1007/BF01637210",
ISSN = "0044-2275 (print), 1420-9039 (electronic)",
ISSN-L = "0044-2275",
bibdate = "Thu Sep 3 06:31:54 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/BF01637210",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "{Zeitschrift f{\"u}r Angewandte Mathematik und Physik
= Journal of Applied Mathematics and Physics}",
journal-URL = "http://link.springer.com/journal/33",
language = "German",
}
@InProceedings{Stiefel:1959:NMT,
author = "Eduard L. Stiefel",
title = "Numerical methods of {Tchebycheff} approximation",
crossref = "Langer:1959:NAP",
pages = "217--232",
year = "1959",
MRclass = "65.00 (41.00)",
MRnumber = "0107961",
MRreviewer = "M. R. Hestenes",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Stiefel:1959:SAB,
author = "E. Stiefel",
title = "The Self-Adjoint Boundary Value Problem",
crossref = "Engeli:1959:RIM",
chapter = "1",
pages = "7--23",
year = "1959",
CODEN = "",
DOI = "https://doi.org/10.1007/978-3-0348-7224-9_1",
bibdate = "Thu Sep 3 06:31:54 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "http://link.springer.com/chapter/10.1007/978-3-0348-7224-9_1",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Ziegler:1959:BGB,
author = "H. Ziegler and P. Grassmann and E. Roth-Desmeules and
E. Stiefel and Ch. Wehrli and P. de Haller and A.
Linder and R. Jost and F. Tank",
title = "{Buchbesprechungen}. ({German}) [{Book} Reviews]",
journal = j-Z-ANGE-MATH-PHYS,
volume = "10",
number = "1",
pages = "105--112",
month = jan,
year = "1959",
CODEN = "ZAMPDB",
DOI = "https://doi.org/10.1007/BF01637212",
ISSN = "0044-2275 (print), 1420-9039 (electronic)",
ISSN-L = "0044-2275",
bibdate = "Thu Sep 3 06:31:54 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/BF01637212",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "{Zeitschrift f{\"u}r Angewandte Mathematik und Physik
= Journal of Applied Mathematics and Physics}",
journal-URL = "http://link.springer.com/journal/33",
language = "German",
}
@Article{Stiefel:1960:NJE,
author = "E. Stiefel",
title = "Note on {Jordan} elimination, linear programming and
{Tchebycheff} approximation",
journal = j-NUM-MATH,
volume = "2",
number = "1",
pages = "1--17",
month = dec,
year = "1960",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01386203",
ISSN = "0029-599x (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65.00 (90.00)",
MRnumber = "111124",
MRreviewer = "W. Prager",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "https://link.springer.com/article/10.1007/BF01386203",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
xxtitle = "Note on {Jordan} elimination, linear programming and
{Tchebyscheff} approximation",
}
@InProceedings{Adam:1961:E,
author = "A. Adam and S. Sagoroff and E. Stiefel and A.
Walther",
title = "Erratum",
crossref = "Adam:1961:UGO",
chapter = "12",
pages = "60--60",
year = "1961",
DOI = "https://doi.org/10.1007/978-3-662-39426-7_12",
bibdate = "Thu Sep 3 06:31:54 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "http://link.springer.com/chapter/10.1007/978-3-662-39426-7_12",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Adam:1961:EAV,
author = "A. Adam and S. Sagoroff and E. Stiefel and A.
Walther",
title = "Erratum to: {Abgek{\"u}rzte Verfahren beim
quadratischen Programmieren}. ({German}) [Erratum to:
{Abbreviated} procedures in quadratic programming]",
crossref = "Adam:1961:UGO",
chapter = "42",
pages = "??--??",
year = "1961",
DOI = "https://doi.org/10.1007/978-3-662-39426-7_42",
bibdate = "Thu Sep 3 06:31:54 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "http://link.springer.com/chapter/10.1007/978-3-662-39426-7_42",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
language = "German",
}
@InProceedings{Adam:1961:IEG,
author = "A. Adam and S. Sagoroff and E. Stiefel and A.
Walther",
title = "{Informationstechnik und Entscheidungspraxis}.
({German}) [{Information} technology and
decision-making practice]",
crossref = "Adam:1961:UGO",
chapter = "8",
pages = "55--56",
year = "1961",
DOI = "https://doi.org/10.1007/978-3-662-39426-7_8",
bibdate = "Thu Sep 3 06:31:54 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "http://link.springer.com/chapter/10.1007/978-3-662-39426-7_8",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
language = "German",
}
@InProceedings{Adam:1961:IK,
author = "A. Adam and S. Sagoroff and E. Stiefel and A.
Walther",
title = "{IFIP-Kongre{\ss} 1962}",
crossref = "Adam:1961:UGO",
pages = "119--120",
day = "20",
year = "1961",
DOI = "https://doi.org/10.1007/978-3-662-39426-7_20",
bibdate = "Thu Sep 3 06:31:54 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "http://link.springer.com/chapter/10.1007/978-3-662-39426-7_20",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
language = "German",
}
@InProceedings{Adam:1961:ISB,
author = "A. Adam and S. Sagoroff and E. Stiefel and A.
Walther",
title = "Internationales Seminar {\"u}ber biometrische Methoden
in der Medizin und Genetik",
crossref = "Adam:1961:UGO",
chapter = "19",
pages = "119--119",
year = "1961",
DOI = "https://doi.org/10.1007/978-3-662-39426-7_19",
bibdate = "Thu Sep 3 06:31:54 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "http://link.springer.com/chapter/10.1007/978-3-662-39426-7_19",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Adam:1961:MMT,
author = "A. Adam and S. Sagoroff and E. Stiefel and A.
Walther",
title = "{Moderne Methoden und Techniken in der
Betriebsf{\"u}hrung}. ({German}) [{Modern} methods and
techniques in operational management]",
crossref = "Adam:1961:UGO",
chapter = "9",
pages = "56--56",
year = "1961",
DOI = "https://doi.org/10.1007/978-3-662-39426-7_9",
bibdate = "Thu Sep 3 06:31:54 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "http://link.springer.com/chapter/10.1007/978-3-662-39426-7_9",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
language = "German",
}
@InProceedings{Adam:1961:OFU,
author = "A. Adam and S. Sagoroff and E. Stiefel and A.
Walther",
title = "{{\"O}sterreichische Fachgruppe f{\"u}r
Unternehmensforschung}. ({German}) [{Austrian Section
for Operations Research}]",
crossref = "Adam:1961:UGO",
chapter = "18",
pages = "119--119",
year = "1961",
DOI = "https://doi.org/10.1007/978-3-662-39426-7_18",
bibdate = "Thu Sep 3 06:31:54 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "http://link.springer.com/chapter/10.1007/978-3-662-39426-7_18",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
language = "German",
}
@InProceedings{Adam:1961:TUI,
author = "A. Adam and S. Sagoroff and E. Stiefel and A.
Walther",
title = "{Tagung der Unternehmer und ihrer verantwortlichen
Mitarbeiter am Institut f{\"u}r Automation und
Operations Research der Universit{\"a}t Freiburg,
Schweiz, {\"u}ber \gldq M{\"o}glichkeiten des
Operations Research f{\"u}r den Unternehmer\grdq}.
({German}) [{Conference} of entrepreneurs and their
responsible employees at the {Institute for Automation
and Operations Research at the University of Friborg,
Switzerland}, ``possibilities of operations research
for the entrepreneur'']",
crossref = "Adam:1961:UGO",
chapter = "35",
pages = "234--234",
year = "1961",
DOI = "https://doi.org/10.1007/978-3-662-39426-7_35",
bibdate = "Thu Sep 3 06:31:54 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "http://link.springer.com/chapter/10.1007/978-3-662-39426-7_35",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
language = "German",
}
@InProceedings{Adam:1961:WKH,
author = "A. Adam and S. Sagoroff and E. Stiefel and A.
Walther",
title = "{Wissenschaftliche Konferenz der Hochschulen {\"u}ber
die Fragen der Einf{\"u}hrung mathematischer Methoden
und moderner Rechentechniken in das Planen von
Unternehmungen der chemischen Industrie}. ({German})
[{Scientific} conference of universities on the
questions of the introduction of mathematical methods
and modern computing techniques in the planning of
companies in the chemical industry]",
crossref = "Adam:1961:UGO",
chapter = "7",
pages = "53--55",
year = "1961",
DOI = "https://doi.org/10.1007/978-3-662-39426-7_7",
bibdate = "Thu Sep 3 06:31:54 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "http://link.springer.com/chapter/10.1007/978-3-662-39426-7_7",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
language = "German",
}
@Article{Roth-Desmeules:1961:BGBa,
author = "E. Roth-Desmeules and E. Stiefel and Hs. H.
G{\"u}nthard",
title = "{Buchbesprechungen}. ({German}) [{Book} Reviews]",
journal = j-Z-ANGE-MATH-PHYS,
volume = "12",
number = "3",
pages = "277--280",
month = may,
year = "1961",
CODEN = "ZAMPDB",
DOI = "https://doi.org/10.1007/BF01592344",
ISSN = "0044-2275 (print), 1420-9039 (electronic)",
ISSN-L = "0044-2275",
bibdate = "Thu Sep 3 06:31:54 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/BF01592344",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "{Zeitschrift f{\"u}r Angewandte Mathematik und Physik
= Journal of Applied Mathematics and Physics}",
journal-URL = "http://link.springer.com/journal/33",
language = "German",
}
@Article{Roth-Desmeules:1961:BGBb,
author = "E. Roth-Desmeules and P. Schmid and H. Weber and W.
Saxer and E. Stiefel and J. C. Thams",
title = "{Buchbesprechungen}. ({German}) [{Book} Reviews]",
journal = j-Z-ANGE-MATH-PHYS,
volume = "12",
number = "5",
pages = "485--488",
month = sep,
year = "1961",
CODEN = "ZAMPDB",
DOI = "https://doi.org/10.1007/BF01600705",
ISSN = "0044-2275 (print), 1420-9039 (electronic)",
ISSN-L = "0044-2275",
bibdate = "Thu Sep 3 06:31:54 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/BF01600705",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "{Zeitschrift f{\"u}r Angewandte Mathematik und Physik
= Journal of Applied Mathematics and Physics}",
journal-URL = "http://link.springer.com/journal/33",
language = "German",
}
@Article{Stiefel:1961:ANN,
author = "E. Stiefel",
title = "{Altes und Neues {\"u}ber numerische Quadratur}.
({German}) [{Old} and new on numerical quadrature]",
journal = j-Z-ANGE-MATH-MECH,
volume = "41",
pages = "408--413",
year = "1961",
CODEN = "ZAMMAX",
DOI = "https://doi.org/10.1002/zamm.19610411003",
ISSN = "0044-2267 (print), 1521-4001 (electronic)",
ISSN-L = "0044-2267",
MRclass = "65.55",
MRnumber = "137306",
MRreviewer = "H. Rutishauser",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "Zeitschrift f{\"{u}}r Angewandte Mathematik und
Mechanik. Ingenieurwissenschaftliche
Forschungsarbeiten",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1521-4001",
language = "German",
}
@Book{Stiefel:1961:ENM,
author = "E. Stiefel",
title = "{Einf{\"u}hrung in die numerische Mathematik}.
({German}) [{Introduction} to Numerical Mathematics]",
publisher = pub-TEUBNER,
address = pub-TEUBNER:adr,
pages = "234",
year = "1961",
MRclass = "65.00",
MRnumber = "0121959",
MRreviewer = "W. Prager",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
series = "Leitf{\"a}den der angewandten Mathematik und Mechanik,
Bd. 2",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
language = "German",
remark = "See also editions two to five
\cite{Stiefel:1963:ENM,Stiefel:1965:ENM,Stiefel:1967:ENM.Stiefel:1969:ENM,Stiefel:1976:ENM}.",
}
@Article{Waldmeier:1962:BGB,
author = "M. Waldmeier and E. Roth-Desmeules and E. Thury and W.
Epprecht and G. T. Barnes and J. L. Olsen and W. Saxer
and E. Stiefel and H. Labhart and W. Traupel and R.
Jost",
title = "{Buchbesprechungen}. ({German}) [{Book} Reviews]",
journal = j-Z-ANGE-MATH-PHYS,
volume = "13",
number = "5",
pages = "522--528",
month = sep,
year = "1962",
CODEN = "ZAMPDB",
DOI = "https://doi.org/10.1007/BF01601082",
ISSN = "0044-2275 (print), 1420-9039 (electronic)",
ISSN-L = "0044-2275",
bibdate = "Thu Sep 3 06:31:54 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/BF01601082",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "{Zeitschrift f{\"u}r Angewandte Mathematik und Physik
= Journal of Applied Mathematics and Physics}",
journal-URL = "http://link.springer.com/journal/33",
language = "German",
}
@InProceedings{Bauer:1963:NAN,
author = "F. L. Bauer and H. Rutishauser and E. Stiefel",
booktitle = "Proceedings of the Symposium on Applied Mathematics",
title = "New aspects in numerical quadrature",
volume = "XV",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "199--218",
year = "1963",
MRclass = "65.55",
MRnumber = "174177",
MRreviewer = "S. Haber",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/bauer-friedrich-ludwig.bib;
https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
ZMID = "03215586",
ZMnumber = "0133.09201",
acknowledgement = ack-nhfb,
author-dates = "Friedrich (``Fritz'') Ludwig Bauer (10 June 1924--26
March 2015); Heinz Rutishauser (30 January 1918--10
November 1970); Eduard Stiefel (21 April 1909--25
November 1978)",
}
@InCollection{Stiefel:1963:A,
author = "Eduard L. Stiefel",
title = "Approximations",
crossref = "Stiefel:1963:INM",
chapter = "7",
pages = "218--253",
year = "1963",
bibdate = "Wed Sep 02 21:48:03 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://www.sciencedirect.com/science/article/pii/B9781483200385500119",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InCollection{Stiefel:1963:ACE,
author = "Eduard L. Stiefel",
title = "Appendix {I} --- Computational Examples",
crossref = "Stiefel:1963:INM",
pages = "255--263",
year = "1963",
DOI = "https://doi.org/10.1016/B978-1-4832-0038-5.50012-0",
bibdate = "Wed Sep 02 21:48:03 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://www.sciencedirect.com/science/article/pii/B9781483200385500120",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InCollection{Stiefel:1963:AIT,
author = "Eduard L. Stiefel",
title = "Appendix {II} --- Tables",
crossref = "Stiefel:1963:INM",
pages = "264--275",
year = "1963",
DOI = "https://doi.org/10.1016/B978-1-4832-0038-5.50013-2",
bibdate = "Wed Sep 02 21:48:03 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://www.sciencedirect.com/science/article/pii/B9781483200385500132",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InCollection{Stiefel:1963:ALR,
author = "Eduard L. Stiefel",
title = "Additional Literature-References in {English}",
crossref = "Stiefel:1963:INM",
pages = "279--280",
year = "1963",
DOI = "https://doi.org/10.1016/B978-1-4832-0038-5.50015-6",
bibdate = "Wed Sep 02 21:48:03 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://www.sciencedirect.com/science/article/pii/B9781483200385500156",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Stiefel:1963:BGB,
author = "E. Stiefel and W. Saxer and W. Gerber and H.
Rutishauser and P. Junod and U. Hochstrasser and W.
Furrer and G. Epprecht and Ch. Clavuot and W.
Schumann",
title = "{Buchbesprechungen}. ({German}) [{Book} reviews]",
journal = j-Z-ANGE-MATH-PHYS,
volume = "14",
number = "1",
pages = "97--100",
month = jan,
year = "1963",
CODEN = "ZAMPDB",
DOI = "https://doi.org/10.1007/BF01601151",
ISSN = "0044-2275 (print), 1420-9039 (electronic)",
ISSN-L = "0044-2275",
bibdate = "Mon Aug 24 21:51:04 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/BF01601151",
acknowledgement = ack-nhfb,
author-dates = "Heinz Rutishauser (30 January 1918--10 November 1970);
Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "{Zeitschrift f{\"u}r Angewandte Mathematik und Physik
= Journal of Applied Mathematics and Physics}",
journal-URL = "http://link.springer.com/journal/33",
language = "German",
}
@InCollection{Stiefel:1963:DE,
author = "Eduard L. Stiefel",
title = "Differential Equations",
crossref = "Stiefel:1963:INM",
chapter = "6",
pages = "139--217",
year = "1963",
DOI = "https://doi.org/10.1016/B978-1-4832-0038-5.50010-7",
bibdate = "Wed Sep 02 21:48:03 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Book{Stiefel:1963:ENM,
author = "Eduard Stiefel",
title = "{Einf{\"u}hrung in die numerische Mathematik}.
({German}) [{Introduction} to Numerical Mathematics]",
publisher = pub-TEUBNER,
address = pub-TEUBNER:adr,
edition = "Second",
pages = "235",
year = "1963",
MRclass = "65.00",
MRnumber = "0153097",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
series = "Zweite, {\"{u}}berarbeitete Auflage",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
language = "German",
}
@InCollection{Stiefel:1963:EP,
author = "Eduard L. Stiefel",
title = "Eigenvalue Problems",
crossref = "Stiefel:1963:INM",
chapter = "5",
pages = "113--138",
year = "1963",
DOI = "https://doi.org/10.1016/B978-1-4832-0038-5.50009-0",
bibdate = "Wed Sep 02 21:48:03 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://www.sciencedirect.com/science/article/pii/B9781483200385500090",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InCollection{Stiefel:1963:LA,
author = "Eduard L. Stiefel",
title = "Linear Algebra",
crossref = "Stiefel:1963:INM",
chapter = "1",
pages = "1--21",
year = "1963",
DOI = "https://doi.org/10.1016/B978-1-4832-0038-5.50005-3",
bibdate = "Wed Sep 02 21:48:03 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://www.sciencedirect.com/science/article/pii/B9781483200385500053",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InCollection{Stiefel:1963:LP,
author = "Eduard L. Stiefel",
title = "Linear Programming",
crossref = "Stiefel:1963:INM",
chapter = "2",
pages = "22--50",
year = "1963",
DOI = "https://doi.org/10.1016/B978-1-4832-0038-5.50006-5",
bibdate = "Wed Sep 02 21:48:03 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InCollection{Stiefel:1963:LR,
author = "Eduard L. Stiefel",
title = "Literature-References",
crossref = "Stiefel:1963:INM",
pages = "277--278",
year = "1963",
DOI = "https://doi.org/10.1016/B978-1-4832-0038-5.50014-4",
bibdate = "Wed Sep 02 21:48:03 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://www.sciencedirect.com/science/article/pii/B9781483200385500144",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InCollection{Stiefel:1963:LSA,
author = "Eduard L. Stiefel",
title = "Least-Squares Approximation and Definite Problem",
crossref = "Stiefel:1963:INM",
chapter = "3",
pages = "51--71",
year = "1963",
DOI = "https://doi.org/10.1016/B978-1-4832-0038-5.50007-7",
bibdate = "Wed Sep 02 21:48:03 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://www.sciencedirect.com/science/article/pii/B9781483200385500077",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InCollection{Stiefel:1963:NA,
author = "Eduard L. Stiefel",
title = "Nonlinear Algebra",
crossref = "Stiefel:1963:INM",
chapter = "4",
pages = "72--112",
year = "1963",
DOI = "https://doi.org/10.1016/B978-1-4832-0038-5.50008-9",
bibdate = "Wed Sep 02 21:48:03 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Traupel:1963:BGB,
author = "W. Traupel and J. C. Thams and G. T. Barnes and Y. N.
Chen and E. Stiefel and E. Roth-Desmeules and W.
K{\"a}nzig",
title = "{Buchbesprechungen}. ({German}) [{Book} Reviews]",
journal = j-Z-ANGE-MATH-PHYS,
volume = "14",
number = "3",
pages = "298--300",
month = may,
year = "1963",
CODEN = "ZAMPDB",
DOI = "https://doi.org/10.1007/BF01601069",
ISSN = "0044-2275 (print), 1420-9039 (electronic)",
ISSN-L = "0044-2275",
bibdate = "Thu Sep 3 06:31:54 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/BF01601069",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "{Zeitschrift f{\"u}r Angewandte Mathematik und Physik
= Journal of Applied Mathematics and Physics}",
journal-URL = "http://link.springer.com/journal/33",
language = "German",
}
@Article{Blanc:1964:BGB,
author = "C. Blanc and J. P. den Hartog and M. Fierz and P.
Henrici and J. Ackeret and E. Baldinger and H. Badr and
E. Bas and P. Profos and W. Saxer and E. Stiefel and T.
M. Gallie and H. Ziegler and W. Gerber",
title = "{Buchbesprechungen}. ({German}) [{Book} Reviews]",
journal = j-Z-ANGE-MATH-PHYS,
volume = "15",
pages = "567--572",
month = sep,
year = "1964",
CODEN = "ZAMPDB",
DOI = "https://doi.org/10.1007/BF01601313",
ISSN = "0044-2275 (print), 1420-9039 (electronic)",
ISSN-L = "0044-2275",
bibdate = "Mon Jan 28 15:19:07 2019",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/henrici-peter.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "http://adsabs.harvard.edu/abs/1964ZaMP...15..567B;
https://link.springer.com/article/10.1007/BF01601313",
acknowledgement = ack-nhfb,
author-dates = "Peter Karl Henrici (13 September 1923--13 March 1987);
Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "{Zeitschrift f{\"u}r Angewandte Mathematik und Physik
= Journal of Applied Mathematics and Physics}",
journal-URL = "http://link.springer.com/journal/33",
language = "German",
}
@Article{Stiefel:1964:MON,
author = "E. Stiefel",
title = "Methods --- Old and New --- For Solving the
{Tchebycheff} Approximation Problem",
journal = j-SIAM-J-NUM-ANALYSIS-B,
volume = "1",
number = "??",
pages = "164--176",
month = "????",
year = "1964",
DOI = "https://doi.org/10.1137/0701014",
ISSN = "0887-459X (print), 1095-7170 (electronic)",
ISSN-L = "0887-459X",
MRclass = "65.20",
MRnumber = "177501",
MRreviewer = "J. R. Rice",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
URL = "https://www.jstor.org/stable/2949773",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "Journal of the Society for Industrial and Applied
Mathematics. Series B. Numerical Analysis",
journal-URL = "http://epubs.siam.org/loi/sjnaam.1",
}
@Article{Stiefel:1964:RHG,
author = "E. Stiefel",
title = "{Die Renaissance der Himmelsmechanik}. ({German})
[{The} Renaissance of Celestial Mechanics]",
journal = j-ELEM-MATH,
volume = "19",
pages = "97--106",
year = "1964",
ISSN = "0013-6018 (print), 1420-8962 (electronic)",
ISSN-L = "0013-6018",
MRclass = "85.00",
MRnumber = "181437",
MRreviewer = "D. Brouwer",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "Elemente der Mathematik. Revue de Math{\'e}matiques
{\'E}l{\'e}mentaires. Rivista de Matematica
Elementare",
language = "German",
}
@Article{Kustaanheimo:1965:PTK,
author = "P. Kustaanheimo and E. Stiefel",
title = "Perturbation theory of {Kepler} motion based on spinor
regularization",
journal = j-J-REINE-ANGEW-MATH,
volume = "218",
pages = "204--219",
year = "1965",
CODEN = "JRMAA8",
DOI = "https://doi.org/10.1515/crll.1965.218.204",
ISSN = "0075-4102 (print), 1435-5345 (electronic)",
ISSN-L = "0075-4102",
MRclass = "85.41",
MRnumber = "180349",
MRreviewer = "V. Szebehely",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "Journal f{\"{u}}r die Reine und Angewandte Mathematik.
[Crelle's Journal]",
journal-URL = "https://www.degruyter.com/view/j/crll",
}
@Book{Stiefel:1965:ENM,
author = "Eduard Stiefel",
title = "{Einf{\"u}hrung in die numerische Mathematik}.
({German}) [{Introduction} to Numerical Mathematics]",
publisher = pub-TEUBNER,
address = pub-TEUBNER:adr,
edition = "Third",
pages = "257",
year = "1965",
MRclass = "65.00",
MRnumber = "0189214",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
series = "Dritte, erweiterte Auflage. Leitf{\"a}den der
angewandten Mathematik und Mechanik, Band 2",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
language = "German",
}
@Article{Stiefel:1965:NNM,
author = "E. Stiefel",
title = "{Neuere numerische Methoden in der Himmelsmechanik}.
({German}) [{Newer} numerical methods in celestial
mechanics]",
journal = j-NORDISK-TIDSKR-INFORM-BEHAND,
volume = "5",
number = "1",
pages = "51--60",
month = mar,
year = "1965",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/BF01975723",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "85.65",
MRnumber = "186353",
MRreviewer = "Wilfred Kaplan",
bibdate = "Wed Jan 4 18:52:08 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=5&issue=1;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "https://link.springer.com/article/10.1007/BF01975723",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "Nordisk Tidskrift for Informationsbehandling",
journal-URL = "http://link.springer.com/journal/10543",
language = "German",
}
@InProceedings{Stiefel:1965:PMP,
author = "E. Stiefel",
booktitle = "Approximation of Functions ({Proc. Sympos. General
Motors Res. Lab., 1964})",
title = "Phase methods for polynomial approximation",
publisher = pub-ELSEVIER,
address = pub-ELSEVIER:adr,
pages = "68--82",
year = "1965",
MRclass = "41.15",
MRnumber = "0190592",
MRreviewer = "C. W. Clenshaw",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Stiefel:1965:PRT,
author = "Eduard Stiefel and J{\"o}rg Waldvogel",
title = "Probl{\`e}me restreint des trois corps.
{G}{\'e}n{\'e}ralisation de la r{\'e}gularisation de
{Birkhoff} pour le mouvement du mobile dans l'espace
{\`a} trois dimensions. ({French}) [{Restricted}
problem of three bodies. {Generalization} of the
{Birkhoff} regularization for the motion of the mobile
in three-dimensional space]",
journal = j-C-R-ACAD-SCI-PARIS,
volume = "260",
pages = "805",
year = "1965",
ISSN = "0001-4036 (print), 2419-6304 (electronic)",
ISSN-L = "0001-4036",
MRclass = "85.34 (70.34)",
MRnumber = "174367",
MRreviewer = "E. Leimanis",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "Comptes Rendus Hebdomadaires des S\'{e}ances de
l'Acad\'{e}mie des Sciences",
journal-URL = "http://gallica.bnf.fr/ark:/12148/cb343481087/date",
language = "French",
}
@Article{Stiefel:1966:BGB,
author = "E. Stiefel and W. Saxer and W. Prager and H. Ziegler
and R. R{\"o}sel",
title = "{Buchbesprechungen}. ({German}) [{Book} Reviews]",
journal = j-Z-ANGE-MATH-PHYS,
volume = "17",
number = "2",
pages = "366--368",
month = mar,
year = "1966",
CODEN = "ZAMPDB",
DOI = "https://doi.org/10.1007/BF01601408",
ISSN = "0044-2275 (print), 1420-9039 (electronic)",
ISSN-L = "0044-2275",
bibdate = "Thu Sep 3 06:31:54 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/BF01601408",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "{Zeitschrift f{\"u}r Angewandte Mathematik und Physik
= Journal of Applied Mathematics and Physics}",
journal-URL = "http://link.springer.com/journal/33",
language = "German",
}
@Book{Stiefel:1967:IMN,
author = "Eduard Stiefel",
title = "Introduction {\`a} la math{\'e}matique num{\'e}rique.
({French}) [{Introduction} to Numerical Mathematics]",
publisher = pub-DUNOD,
address = pub-DUNOD:adr,
pages = "xii + 305",
year = "1967",
MRclass = "65.00",
MRnumber = "0221723",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
series = "Traduit de l\cprime allemand par Monique Delchambre,
Henri Bastin et Paul Janssens",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
language = "French",
}
@Article{Henrich:1968:BGBa,
author = "P. Henrich and P. Huguenin and H. Rutishauser and I.
Zschokke-Gr{\"a}nacher and Hans Ziegler and H. R.
Schwarz and L. S. Dzung and E. Stiefel",
title = "{Buchbesprechungen}. ({German}) [{Book} Reviews]",
journal = j-Z-ANGE-MATH-PHYS,
volume = "19",
number = "6",
pages = "981--984",
month = nov,
year = "1968",
CODEN = "ZAMPDB",
DOI = "https://doi.org/10.1007/BF01602290",
ISSN = "0044-2275 (print), 1420-9039 (electronic)",
ISSN-L = "0044-2275",
bibdate = "Mon Aug 24 21:51:04 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/BF01602290",
acknowledgement = ack-nhfb,
author-dates = "Heinz Rutishauser (30 January 1918--10 November 1970);
Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "{Zeitschrift f{\"u}r Angewandte Mathematik und Physik
= Journal of Applied Mathematics and Physics}",
journal-URL = "http://link.springer.com/journal/33",
language = "German",
}
@Book{Rutishauser:1968:NSM,
author = "Heinz Rutishauser and Eduard L. Stiefel and Hans
Rudolf Schwarz",
title = "{Numerik symmetrischer Matrizen: Matrizen-Numerik}.
({German}) [{Numerics} of symmetric matrices: Matrix
numerics]",
volume = "11",
publisher = pub-TEUBNER,
address = pub-TEUBNER:adr,
pages = "243",
year = "1968",
ISSN = "0459-021X",
ISSN-L = "0459-021X",
LCCN = "QA263 .S33",
bibdate = "Fri Sep 4 10:08:00 MDT 2020",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
series = "Leitf{\"a}den der angewandten Mathematik und
Mechanik",
acknowledgement = ack-nhfb,
author-dates = "Heinz Rutishauser (30 January 1918--10 November 1970);
Eduard Stiefel (21 April 1909--25 November 1978)",
language = "German",
remark = "Book title page is ambiguous about author credits: it
says: ``Unter Mitwirkung von Prof. Dr. H. Rutishauser
und Prof. Dr. E. Stiefel, verfa{\ss}t von Privatdozent
Dr. sc. math. H. R. Schwarz''",
shorttableofcontents = "1: Euklidischer Vectorraum. Normen.
Quadratische Formen. Symmetrische-definite
Gleichungssysteme \\
2: Relaxationsmethoden \\
3: Ausgleichsrechnung \\
4: Symmetrische Eigenwertprobleme \\
5: Randwertprobleme, Relaxation",
subject = "Teoria operatorilor",
tableofcontents = "1. Euklidischer Vektorraum Normen. Quadratische
Formen. Symmetrisch-definite Gleichungssysteme \\
1.1. Der lineare Vektorraum, Matrizen / 11 \\
1.1.1. Der w-dimensionale Vektorraum / 11 \\
1.1.2. Lineare Transformationen. Matrizen / 13 \\
1.2. Normen, Kondition einer Matrix / 17 \\
1.3. Notwendige und hinreichende Kriterien f{\"u}r die
Definitheit einer quadratischen Form / 23 \\
1.3.1. Direkte Kriterien, notwendige Bedingungen / 23
\\
1.3.1.1. Spezielle Beispiele / 23 \\
1.3.1.2. Notwendige Bedingungen / 24 \\
1.3.2. Kriterium der {\"u}berwiegenden positiven
Diagonalelemente / 25 \\
1.3.3. Systematische Reduktion auf eine Summe von
Quadraten / 28 \\
1.4. Symmetrische Dreieckszerlegung, Methode von
Cholesky / 31 \\
1.4.1. Dreiecksmatrizen / 31 \\
1.4.2. Die Methode von Cholesky / 34 \\
1.4.3. Aufl{\"o}sung symmetrisch-definiter
Gleichungssysteme / 36 \\
1.4.4. Inversion einer positiv definiten Matrix / 40
\\
1.4.5. Symmetrisch-definite Bandmatrizen / 41 \\
2. Relaxationsmethoden \\
2.1. Grundlagen der Relaxationsrechnung / 45 \\
2.1.1. Symmetrisch-definites Gleichungssystem als
Minimumproblem / 45 \\
2.1.2. Grundprinzip der Relaxation / 46 \\
2.2. Das Einzelschrittverfahren / 48 \\
2.2.1. Handrelaxation / 48 \\
2.2.2. Das Einzelschrittverfahren (Gau{\ss}-Seidel) /
50 \\
2.2.3. Methode der {\"U}berrelaxation / 55 \\
2.2.4. Optimale Wahl des {\"U}berrelaxationsfaktors /
59 \\
2.3. Gradientenmethoden / 66 \\
2.3.1. Das Prinzip / 66 \\
2.3.2. Methode des st{\"a}rksten Abstiegs / 67 \\
2.3.3. Das Gesamtschrittverfahren / 68 \\
2.4. Methode der konjugierten Gradienten / 71 \\
2.4.1. Herleitung / 71 \\
2.4.2. Eigenschaften und Vereinfachungen / 72 \\
2.4.3. Der Rechenproze{\ss} / 75 \\
3. Ausgleichsrechnung \\
3.1. Problemstellung / 78 \\
3.1.1. Vermittelnde Ausgleichung / 79 \\
3.1.2. Bedingte Ausgleichung / 81 \\
3.2. Vermittelnde Ausgleichung / 82 \\
3.2.1. Die Gau{\ss}schen Normalgleichungen / 82 \\
3.2.2. Zur Aufl{\"o}sung der Normalgleichungen / 84 \\
3.3. Bedingte Ausgleichung / 87 \\
3.3.1. Die Korrelatengleichungen / 87 \\
3.3.2. Dualit{\"a}t der Ausgleichung / 90 \\
3.4. Die Methode der Orthogonalisierung in der
Ausgleichsrechnung / 93 \\
3.4.1. Das Schmidtsche Orthogonalisierungsverfahren /
93 \\
3.4.2. Anwendung auf Ausgleichsprobleme / 96 \\
3.4.3. Numerische Gegen{\"u}berstellung mit der Methode
von Cholesky / 100 \\
3.5. Die Methode der konjugierten Gradienten in der
Ausgleichsrechnung / 103 \\
4. Symmetrische Eigenwertprobleme \\
4.1. Eigenwertprobleme der Physik / 103 \\
4.2. Kritik des charakteristischen Polynoms / 106 \\
4.3. Das Hauptachsentheorem / 109 \\
4.4. Transformation auf Diagonalform. Simultane
Berechnung aller Eigenwerte / 113 \\
4.4.1. Elementare orthogonale zweidimensionale
Drehungen / 113 \\
4.4.2. Das klassische Jacobi-Verfahren / 116 \\
4.4.3. Zyklische Jacobi-Verfahren / 123 \\
4.5. Transformation auf tridiagonale Form. Sturmsche
Kette. Berechnung einzelner Eigenwerte / 126 \\
4.5.1. Die Methode von Givens / 127 \\
4.5.2. Die Methode von Householder / 129 \\
4.5.3. Die Sturmsche Kette / 134 \\
4.5.4. Die Eigenwerte von symmetrischen tridiagonalen
Matrizen / 137 \\
4.5.5. Die Eigenvektoren von tridiagonalen Matrizen /
144 \\
4.6. LR-Transformation und QD-Algorithmus. Berechnung
der kleinsten Eigenwerte / 146 \\
4.6.1. Die LR-Transformation / 147 \\
4.6.2. Konvergenzbeweis des LR-Cholesky-Verfahrens /
150 \\
4.6.3. Konvergenzverhalten, Koordinatenverschiebung /
152 \\
4.6.4. Symmetrisch-definite Bandmatrizen / 160 \\
4.6.5. Der QD-Algorithmus / 163 \\
4.6.6. Anwendungen des QD-Algorithmus / 172 \\
4.7. Vektoriteration. Gr{\"o}{\ss}te und kleinste
Eigenwerte / 175 \\
4.7.1. Klassische Vektoriteration. Potenzmethode / 176
\\
4.7.2. Bestimmung des zweitgr{\"o}{\ss}ten Eigenwertes
/ 179 \\
4.7.3. Inverse Vektoriteration / 180 \\
4.7.4. Simultane Vektoriteration / 182 \\
4.8. Das allgemeine symmetrische Eigenwertproblem / 187
\\
4.8.1. Transformation auf ein spezielles symmetrisches
Eigenwertproblem / 187 \\
4.8.2. Jacobische Methode / 188 \\
4.8.3. Methode der Vektoriteration / 190 \\
4.9. {\"U}bersicht {\"u}ber die Eigenwertmethoden / 191
\\
5. Randwertprobleme, Relaxation \\
5.1. Randwertprobleme / 193 \\
5.1.1. Die Energiemethode / 193 \\
5.1.2. Selbstadjungiertheit / 195 \\
5.1.3. Diskretisation / 197 \\
5.1.4. Struktur der linearen Gleichungen / 203 \\
5.2. Operatorgleichungen und Relaxation / 206 \\
5.2.1. Elementare Relaxationsmethoden / 206 \\
5.2.2. {\"U}berrelaxation, Property A / 208 \\
5.2.3. Implizite Blockrelaxation / 216 \\
5.2.4. Methode der alternierenden Richtungen / 223 \\
5.2.5. Methode der konjugierten Gradienten / 231 \\
5.3. Das Eigenwertproblem / 232 \\
Literatur / 235 \\
Sachverzeichnis / 239",
}
@Article{Stiefel:1968:RDM,
author = "Eduard Stiefel and Gerhard Scheifele",
title = "R{\'e}gularisation du mouvement k{\'e}plerien
perturb{\'e} dans l'espace {\`a} trois dimensions par
une transformation canonique g{\'e}n{\'e}ralis{\'e}e.
({French}) [{Regularization} of the perturbed
{Keplerian} motion in three-dimensional space by a
generalized canonical transformation]",
journal = j-C-R-ACAD-SCI-PARIS-SER-AB,
volume = "267",
pages = "A950--A953",
year = "1968",
CODEN = "CHASAP",
ISSN = "0151-0509",
ISSN-L = "0151-0509",
MRclass = "70.35",
MRnumber = "245244",
MRreviewer = "V. Szebehely",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "Comptes Rendus Hebdomadaires des S\'{e}ances de
l'Acad\'{e}mie des Sciences. S\'{e}ries A et B",
language = "French",
}
@Book{Stiefel:1969:ENM,
author = "Eduard Stiefel",
title = "{Einf{\"u}hrung in die numerische Mathematik}.
({German}) [{Introduction} to Numerical Mathematics]",
publisher = pub-TEUBNER,
address = pub-TEUBNER:adr,
edition = "Fourth",
pages = "257",
year = "1969",
MRclass = "65.00",
MRnumber = "0248959",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
series = "Vierte durchgesehene Auflage. Leitf{\"a}den der
angewandten Mathematik und Mechanik, Band 2",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
language = "German",
}
@Article{Stiefel:1969:SCM,
author = "E. Stiefel and D. G. Bettis",
title = "Stabilization of {Cowell}'s method",
journal = j-NUM-MATH,
volume = "13",
number = "2",
pages = "154--175",
month = may,
year = "1969",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF02163234",
ISSN = "0029-599x (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65.61",
MRnumber = "263250",
MRreviewer = "Charles C. Conley",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "https://link.springer.com/article/10.1007/BF02163234",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Chretien:1970:BGB,
author = "M. Chr{\'e}tien and Hans Ziegler and I.
Zschokke-Gr{\"a}nacher and K. Alder and E. Stiefel and
P. J. Huber and H. R. Schwarz",
title = "{Buchbesprechungen}. ({German}) [{Book} Reviews]",
journal = j-Z-ANGE-MATH-PHYS,
volume = "21",
number = "6",
pages = "1106--1108",
month = nov,
year = "1970",
CODEN = "ZAMPDB",
DOI = "https://doi.org/10.1007/BF01594883",
ISSN = "0044-2275 (print), 1420-9039 (electronic)",
ISSN-L = "0044-2275",
bibdate = "Thu Sep 3 06:31:54 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/BF01594883",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "{Zeitschrift f{\"u}r Angewandte Mathematik und Physik
= Journal of Applied Mathematics and Physics}",
journal-URL = "http://link.springer.com/journal/33",
language = "German",
}
@Article{Stiefel:1970:OCC,
author = "E. Stiefel",
title = "The {Oberwolfach} conferences on celestial mechanics",
journal = j-CELEST-MECH,
volume = "2",
number = "3",
pages = "273--273",
month = sep,
year = "1970",
CODEN = "CLMCAV",
DOI = "https://doi.org/10.1007/bf01235120",
ISSN = "0008-8714 (print), 2214-7284 (electronic)",
ISSN-L = "0008-8714",
bibdate = "Wed Sep 2 21:22:56 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/BF01235120",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "Celestial mechanics",
journal-URL = "https://www.springer.com/journal/10569",
}
@Article{Stiefel:1970:RNI,
author = "E. Stiefel",
title = "Remarks on numerical integration of {Keplerian}
orbits",
journal = j-CELEST-MECH,
volume = "2",
number = "3",
pages = "274--281",
month = sep,
year = "1970",
CODEN = "CLMCAV",
DOI = "https://doi.org/10.1007/BF01235121",
ISSN = "0008-8714 (print), 2214-7284 (electronic)",
ISSN-L = "0008-8714",
MRclass = "70.65",
MRnumber = "284053",
MRreviewer = "V. Szebehely",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/BF01235121",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "Celestial Mechanics",
journal-URL = "https://www.springer.com/journal/10569",
}
@Book{Stiefel:1971:LDG,
author = "Eduard Stiefel",
title = "{Lehrbuch der darstellenden Geometrie}. ({German})
[{Textbook} of descriptive geometry]",
volume = "6",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
edition = "Third",
year = "1971",
DOI = "https://doi.org/10.1007/978-3-0348-7369-7",
ISBN = "3-0348-7369-7, 3-0348-7370-0 (print)",
ISBN-13 = "978-3-0348-7369-7, 978-3-0348-7370-3 (print)",
LCCN = "QA1-939",
bibdate = "Wed Sep 2 17:36:03 MDT 2020",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
series = "Mathematische Reihe",
URL = "https://link.springer.com/article/10.1007/978-3-0348-7369-7",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
language = "German",
subject = "Mathematics",
tableofcontents = "Darstellende Geometrie im engeren Sinn. Das
Projizieren. Das Messen und die Anschaulichkeit.
Zweibildermethode. Krumme Fl{\"a}chen. Darstellende
Geometrie im weiteren Sinn. Unm{\"o}glichkeit der
l{\"a}ngentreuen Abbildung eines Gebietes der Kugel auf
eine Ebene \\
Easter Teil. Elementare darstellende Geometrie \\
Erster Abschnitt: Zugeordnete Normalprojektionen \\
Zweiter Abschnitt: Orthogonale Axonometrie \\
Dritter Abschnitt: Konstruktive Behandlung
gekr{\"u}mmter Fl{\"a}chen \\
Zweiter Teil. Reziprozit{\"a}t, Kurven und Fl{\"a}chen
zweiter Ordnung \\
Dritter Teil. Projektive darstellende Geometrie \\
Vierter Teil. Sph{\"a}rische darstellende Geometrie,
konforme Abbildungen \\
Anhang. Topologische Gesichtspunkte \\
Topologische Abbildung in der Ebene. Stetige
Perspektive",
}
@Book{Stiefel:1971:LRC,
author = "E. L. Stiefel and G. Scheifele",
title = "Linear and regular celestial mechanics. {Perturbed}
two-body motion, numerical methods, canonical theory",
volume = "174",
publisher = pub-SV,
address = pub-SV:adr,
pages = "ix + 301",
year = "1971",
DOI = "https://doi.org/10.1007/978-3-642-65027-7",
ISBN = "3-540-05119-8 (Berlin), 0-387-05119-8 (New York)",
ISBN-13 = "978-3-540-05119-0 (Berlin), 978-0-387-05119-2 (New
York)",
ISSN = "0072-7830 (print), 2196-9701 (electronic)",
ISSN-L = "0072-7830",
LCCN = "QA3 .G7 v.174l QB351 .S758",
MRclass = "70.34 (85.34) 70F15",
MRnumber = "0445967",
MRreviewer = "V. Szebehely",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
series = "Die Grundlehren der mathematischen Wissenschaften",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
subject = "Celestial mechanics; Celest mekanik",
tableofcontents = "Introduction \\
Part I: Basic and Numerical Theory \\
I: Preliminaries \\
1. Laws of Motion / 6 \\
Motion About a Central Mass / 7 \\
Perturbed Motion / 8 \\
2. Energy Relations / 8 \\
Perturbing Potential / 9 \\
3. Collection of Formulae / 10 \\
4. Singular Differential Equations / 11 \\
5. One-Dimensional Motion / 13 \\
First Step of Regularization / 14 \\
Second Step of Regularization / 15 \\
The Harmonic Oscillator / 17 \\
II: Regularized Theory \\
6. Matrices / 18 \\
7. Fictitious Time / 19 \\
8. Motion in a Plane / 20 \\
9. Motion in Space / 23 \\
The KS-Matrix / 24 \\
Equations of Motion / 25 \\
Energy Relations / 29 \\
Regularized Equations / 30 \\
Comments / 31 \\
Further Aids / 31 \\
Collection of Formulae / 33 \\
III: Kepler Motion \\
10. Elliptic Motion / 36 \\
Geometric Properties / 38 \\
Dynamics of Elliptical Motion 40 \\
11. Uniform Treatment of the Three Varieties of Pure
Kepler Motion / 42 \\
Stumpff Functions / 43 \\
Kepler Motion in Terms of the $c$-Functions / 46 \\
Collection of Formulae / 50 \\
IV: The Initial Value Problem \\
12. Shape and Position of the Orbit / 52 \\
13. Use of the KS-Transformation / 54 \\
Pure Motion in Parametric Representation / 55 \\
The Parametric Initial Value Problem / 56 \\
The Osculating Orbit / 57 \\
Collection of Formulae / 58 \\
The Problem of the Projectile / 60 \\
Critical Initial Data / 62 \\
14. The Classical Elements / 65 \\
Collection of Formulae / 69 \\
15. Numerical Examples / 70 \\
V: The Fundamental Differential Equations \\
16. Stability / 73 \\
Comments / 75 \\
17. Numerical Aspects / 77 \\
Regulation of the Step Size / 77 \\
Error Propagation / 78 \\
18. The Time-Element / 83 \\
The General Concept of Elements / 83 \\
Introduction of a Time-Element / 84 \\
Collection of Formulae / 86 \\
Comments / 87 \\
19. A Set of Regular Elements / 87 \\
Collection of Formulae / 90 \\
Comments / 92 \\
The $u$-Method / 95 \\
Appendix. Orthogonal Elements / 96 \\
VI: Typical Perturbations \\
20. Gravitational Potentials / 100 \\
Clusters and Rigid Bodies / 103 \\
Spheroids / 104 \\
Example / 106 \\
21. Oblateness Perturbations / 107 \\
The $r$-Equation / 108 \\
Comments / 109 \\
22. Third Body Attraction / 110 \\
The Interior Problem / 112 \\
Rule for Adjustment of the Perturbing Potential
(Interior Problem) / 113 \\
The Exterior Problem / 113 \\
Comments / 116 \\
23. Numerical Examples / 118 \\
Adaptation of the Element Equations (19,61)-(19,63) to
Automatic Computation / 118 \\
General Description of the Experiments / 118 \\
Examples 1--6 / 120 \\
VII: Refined Numerical Methods \\
24. Difference Methods / 127 \\
Derivation of the Modified Coefficients / 129 \\
Collection of Formulae / 132 \\
25. Applications to Differential Equations / 135 \\
Application to Celestial Mechanics / 136 \\
Long Term Numerical Behaviour / 138 \\
26. Refinement of Taylor Expansions / 141 \\
Definitions and Properties of a Sequence of Functions /
141 \\
On Solving Differential Equations by Power Expansions /
144 \\
Finite Power- and $G$-Expansions / 146 \\
Algorithm / 148 \\
Remarks / 149 \\
27. Application to Satellite Motion / 150 \\
Oblateness Perturbation / 150 \\
Comments / 153 \\
Third Body Attraction / 155 \\
Final Remark Concerning Sections 24 to 27 / 160 \\
28. First Order Methods / 160 \\
Third Body Perturbation / 165 \\
Comments / 167 \\
Convergence of Fourier Expansions / 171 \\
Expansion with Respect to a Perturbing Parameter / 174
\\
Part II: Canonical Theory \\
VIII: General Canonical Theory \\
Introduction / 181 \\
29. Preliminaries / 181 \\
Dynamics of $n$ Point Masses / 181 \\
General Canonical Systems / 183 \\
30. Homogeneous Formalism / 184 \\
Law of Energy / 184 \\
Homogeneous Systems / 184 \\
31. Canonical Transformations / 186 \\
32. Generating Function / 191 \\
Independent Variable Appearing Explicitly in a
Transformation / 195 \\
33. Construction of Canonical Transformations / 196 \\
Transformation of the Coordinates / 196 \\
Jacobi's Method of Integration / 198 \\
Elements and their Perturbations / 203 \\
34. New Independent Variable, Scaling Factors / 205 \\
Appendix / 210 \\
IX: Classical Canonical Theory of the Perturbations of
Elements \\
Introduction / 213 \\
35. Delaunay Elements / 213 \\
Spherical Coordinates / 213 \\
Jacobi's Integration Method / 216 \\
Canonical and Classical Elements / 218 \\
Delaunay Elements / 221 \\
36. Perturbation of Elements / 223 \\
Perturbation of the Delaunay Elements / 223 \\
Perturbation of the Classical Elements / 224 \\
Secular Differential Equations / 226 \\
X: The Canonical Theory of the Oscillator Generated by
the Perturbed Problem of two Bodies \\
Introduction / 229 \\
37. Introduction of new Independent Variables / 230 \\
38. The Canonical KS-Transformation / 232 \\
Motion in Space, Canonical KS-Transformation / 233 \\
Fundamental Theorem / 236 \\
The Basic Canonical System with Respect to the
Fictitious Times / 238 \\
The Basic Canonical System with Respect to the
Generalized Eccentric Anomaly $E$ / 240 \\
39. Canonical Forces / 243 \\
The System in the Fictitious Time $s$ / 244 \\
The System in the Generalized Eccentric Anomaly $E$ /
245 \\
40. Canonical Oscillator Elements in the Fictitious
Time Version / 247 \\
Separation of Jacobi's Equation / 247 \\
Uniform Treatment of the Element Equations / 250 \\
Uniformly Regular Canonical Elements / 251 \\
The Basic Element System with Respect to the Fictitious
Time $s$ / 252 \\
41. Canonical Oscillator Elements in the Generalized
Eccentric Anomaly Version / 254 \\
The Basic System with Respect to the Generalized
Eccentric Anomaly $E$ / 254 \\
Canonical Forces / 256 \\
42. First Views on Analytical Perturbation Methods /
257 \\
Literal Expression of the Perturbing Potential as a
Function of the Canonical Oscillator Elements / 257 \\
Analytical First Order Perturbations / 263 \\
Comments Concerning Chapters IX and X / 266 \\
Part III: Geometry and Outlook \\
XI: Geometry of the KS-Transformation \\
43. The Four-dimensional Space / 270 \\
The Fibration of U4 / 271 \\
The Mapping of Curves / 272 \\
Planes of Levi-Civita's Type / 273 \\
Remarks / 274 \\
The Cayley Matrix / 276 \\
A Cross Product / 277 \\
Remarks / 278 \\
44. The Mapping of the Spheres / 281 \\
The Fibration of $S^3$ / 282 \\
The Inverse Mapping of Curves / 282\\
Quaternions / 285 \\
Topological Aids / 286 \\
45. The Manifold of Kepler Orbits / 288 \\
Outlook / 293 \\
References / 295 \\
Author and Subject Index / 297",
}
@Book{Rutishauser:1972:NSM,
author = "H. Rutishauser and E. Stiefel and H. R. Schwarz",
title = "{Numerik symmetrischer Matrizen}. ({German})
[{Numerics} of symmetric matrices]",
volume = "11",
publisher = pub-TEUBNER,
address = pub-TEUBNER:adr,
pages = "261",
year = "1972",
DOI = "https://doi.org/10.1007/978-3-663-11341-6",
ISBN = "3-519-12311-8 (print), 3-663-11341-8 (e-book)",
ISBN-13 = "978-3-519-12311-8 (print), 978-3-663-11341-6
(e-book)",
LCCN = "QA263 .S33 1972",
bibdate = "Wed Aug 26 10:18:08 MDT 2020",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
series = "Leitf{\"a}den der angewandten Mathematik und Mechanik
LAMM",
URL = "https://link.springer.com/article/10.1007/978-3-663-11341-6",
acknowledgement = ack-nhfb,
author-dates = "Heinz Rutishauser (30 January 1918--10 November 1970);
Eduard Stiefel (21 April 1909--25 November 1978)",
language = "German",
subject = "Numerical analysis",
tableofcontents = "Front Matter / 2--9 \\
Euklidischer Vektorraum. Normen. Quadratische Formen.
Symmetrisch-definite Gleichungssysteme / 11--44 \\
Relaxationsmethoden / 44--78 \\
Ausgleichsrechnung / 78--103 \\
Symmetrische Eigenwertprobleme / 103--192 \\
Randwertprobleme, Relaxation / 192--235 \\
Back Matter / 235--263",
}
@Article{Stiefel:1972:BGM,
author = "E. Stiefel",
title = "{Buchbesprechung: \booktitle{Gleichungen der
mathematischen Physik}, von W. S. Wladimirov (Deutscher
Verlag der Wissenschaften, Berlin 1971). 379 S., 75
Fig.; 36,50 M)}. ({German}) [{{\booktitle{Equations of
mathematical physics}}}]",
journal = j-Z-ANGE-MATH-PHYS,
volume = "23",
number = "4",
pages = "712--712",
month = jul,
year = "1972",
CODEN = "ZAMPDB",
DOI = "https://doi.org/10.1007/BF01593994",
ISSN = "0044-2275 (print), 1420-9039 (electronic)",
ISSN-L = "0044-2275",
bibdate = "Thu Sep 3 06:31:54 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/BF01593994",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "{Zeitschrift f{\"u}r Angewandte Mathematik und Physik
= Journal of Applied Mathematics and Physics}",
journal-URL = "http://link.springer.com/journal/33",
language = "German",
}
@Article{Stiefel:1972:EGI,
author = "Prof. Dr. E. Stiefel",
title = "{Einf{\"u}hrung}. ({German}) [Introduction]",
journal = "Ingenieur-Archiv",
volume = "41",
number = "S1",
pages = "3--3",
month = jan,
year = "1972",
CODEN = "INARAS",
DOI = "https://doi.org/10.1007/BF00716222",
ISSN = "0020-1154",
ISSN-L = "0020-1154",
bibdate = "Thu Sep 3 06:31:54 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/BF00716222",
acknowledgement = ack-nhfb,
ajournal = "Ing. Arch.",
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
language = "German",
}
@Book{Schwarz:1973:NAS,
author = "H. R. Schwarz and H. Rutishauser and E. Stiefel",
title = "Numerical Analysis of Symmetric Matrices",
publisher = pub-PH,
address = pub-PH:adr,
pages = "xi + 276",
year = "1973",
ISBN = "0-13-626556-1",
ISBN-13 = "978-0-13-626556-6",
LCCN = "QA263 .S3313",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
acknowledgement = ack-nhfb,
author-dates = "Heinz Rutishauser (30 January 1918--10 November 1970);
Eduard Stiefel (21 April 1909--25 November 1978)",
remark = "Translation of 1968 German book
\cite{Rutishauser:1968:NSM}. Good coverage of
LR-Cholesky method.",
tableofcontents = "1: Euclidian Vector Space: Norms, Quadratic Forms,
Symmetric Definite Systems of Equations / 1 \\
1-1 The Linear Vector Space; Matrices / 7 \\
1-2 Norms; Condition of a Matrix / 15 \\
1-3 Necessary and Sufficient Conditions for the
Definiteness of a Quadratic Form / 23 \\
1-4 Symmetric Triangular Decomposition: Cholesky's
Method / 23 \\
2: Relaxation Methods / 38 \\
2-1 Fundamentals in Relaxation Calculations / 38 \\
2-2 The Successive Displacement Method / 42 \\
2-3 Gradient Methods / 63 \\
2-4 The Method of Conjugate Gradients / 68 \\
3: Data Fitting / 76 \\
3-1 Formulation of the Problem / 76 \\
3-2 Unconstrained Fitting / 81 \\
3-3 Constrained Fitting / 86 \\
3-4 The Method of Orthogonalization in Data Fitting /
92 \\
3-5 The Method of Conjugate Gradients in Data Fitting /
103 \\
4: Symmetric Eigenvalue Problems / 111 \\
4-1 Eigenvalue Problems of Physics / 111 \\
4-2 Criticism of the Characteristic Polynomial / 114
\\
4-3 The Principal Axis Theorem / 117 \\
4-4 Transformation to Diagonal Form: Simultaneous
Computation of All Eigenvalues / 121 \\
4-5 Transformation to Tridiagonal Form: Sturm
Sequences; Computation of Individual Eigenvalues / 136
\\
4-6 LR Transformation and QD Algorithm: Calculation of
the Smallest Eigenvalues / 158 \\
4-7 Vector Iteration: Largest and Smallest Eigenvalues
/ 187 \\
4-8 The Generalized Symmetric Eigenvalue Problem / 199
\\
4-9 R{\'e}sum{\'e} of Eigenvalue Methods / 203 \\
5: Boundary Value Problems, Relaxation / 205 \\
5-1 Boundary Value Problems / 205 \\
5-2 Operator Equations and Relaxation / 221 \\
5-3 The Eigenvalue Problem / 248 \\
Appendix: Fortran Subroutine Counterparts of Algol
Procedures / 251 \\
Bibliography / 265 \\
Index / 271",
}
@Article{Stiefel:1973:FOC,
author = "E. Stiefel",
title = "The {Fourth Oberwolfach Conference on Celestial
Mechanics}",
journal = j-CELEST-MECH,
volume = "8",
number = "2",
pages = "155--155",
month = sep,
year = "1973",
CODEN = "CLMCAV",
DOI = "https://doi.org/10.1007/BF01231407",
ISSN = "0008-8714 (print), 2214-7284 (electronic)",
ISSN-L = "0008-8714",
bibdate = "Thu Sep 3 06:31:54 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/BF01231407",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "Celestial mechanics",
journal-URL = "https://www.springer.com/journal/10569",
}
@InProceedings{Stiefel:1973:LTP,
author = "E. Stiefel",
title = "A Linear Theory of the Perturbed Two-Body Problem
(Regularization)",
crossref = "Tapley:1973:RAD",
chapter = "1",
pages = "3--20",
year = "1973",
DOI = "https://doi.org/10.1007/978-94-010-2611-6_1",
bibdate = "Thu Sep 3 06:31:54 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "http://link.springer.com/chapter/10.1007/978-94-010-2611-6_1",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Baumgarte:1974:ETI,
author = "J. Baumgarte and E. Stiefel",
booktitle = "{Proceedings of the Conference on the Numerical
Solution of Ordinary Differential Equations (Univ.
Texas, Austin, Tex., 1972)}",
title = "Examples of transformations improving the numerical
accuracy of the integration of differential equations",
journal = j-LECT-NOTES-MATH,
volume = "362",
pages = "207--236",
year = "1974",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0066593",
ISBN = "3-540-06602-0 (print), 3-540-37911-8 (e-book)",
ISBN-13 = "978-3-540-06602-6 (print), 978-3-540-37911-9
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
MRclass = "65L99",
MRnumber = "0347097 (49 \#11817)",
MRreviewer = "Clarence M. Ablow",
bibdate = "Fri May 9 19:07:48 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1970.bib",
series = "Lecture Notes in Mathematics",
URL = "http://link.springer.com/chapter/10.1007/BFb0066593/;
https://link.springer.com/article/10.1007/BFb0066582;
https://link.springer.com/article/10.1007/BFb0066593",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
book-DOI = "https://doi.org/10.1007/BFb0066582",
book-URL = "http://www.springerlink.com/content/978-3-540-37911-9",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
}
@Article{Baumgarte:1974:SDE,
author = "J. Baumgarte and E. Stiefel",
title = "Stabilization of differential equations by
introduction of a modified {Hamiltonian}",
journal = j-MECH-RESEARCH-COMM,
volume = "1",
number = "1",
pages = "49--50",
month = jan,
year = "1974",
CODEN = "MRCOD2",
DOI = "https://doi.org/10.1016/0093-6413(74)90035-4",
ISSN = "0093-6413 (print), 1873-3972 (electronic)",
ISSN-L = "0093-6413",
bibdate = "Fri Sep 4 09:06:52 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "Mechanics Research Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00936413",
}
@Article{Baumgarte:1974:SMH,
author = "J. Baumgarte and E. Stiefel",
title = "Stabilization by manipulation of the {Hamiltonian}",
journal = j-CELEST-MECH,
volume = "10",
number = "2",
pages = "71--85",
month = aug,
year = "1974",
CODEN = "CLMCAV",
DOI = "https://doi.org/10.1007/BF01261879",
ISSN = "0008-8714 (print), 2214-7284 (electronic)",
ISSN-L = "0008-8714",
MRclass = "70.65",
MRnumber = "349099",
MRreviewer = "Djordje Djuki\'{c}",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/BF01261879",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "Celestial Mechanics",
journal-URL = "https://www.springer.com/journal/10569",
}
@Book{Shtifel:1975:CLN,
author = "E. Shtifel\cprime and G. Se{\u\i}fele",
title = "{{\cyr Line{\u{i}} naya i regulyarnaya nebesnaya
mekhanika}. (Russian) [Linear and regular celestial
mechanics]}",
publisher = pub-NAUKA,
address = pub-NAUKA:adr,
pages = "303",
year = "1975",
MRclass = "70.34 (85.34)",
MRnumber = "0459095",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
note = "{\cyr Vozmushchennaya zadacha dvukh tel. Chislennye
metody. Kanonicheskaya teoriya}. [Perturbed two-body
problem. Numerical methods. Canonical theory],
Translated from the English by P. A. Ageev. Edited by
V. A. Brumberg.",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
language = "Russian",
}
@Article{Stiefel:1975:RSS,
author = "Eduard Stiefel",
title = "Remark on sums of squares in dynamics",
journal = j-Z-ANGE-MATH-PHYS,
volume = "26",
pages = "125--126",
year = "1975",
CODEN = "ZAMPDB",
DOI = "https://doi.org/10.1007/BF01596285",
ISSN = "0044-2275 (print), 1420-9039 (electronic)",
ISSN-L = "0044-2275",
MRclass = "70.34",
MRnumber = "363063",
MRreviewer = "T. Ura",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/BF01596285",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "Zeitschrift f{\"{u}}r Angewandte Mathematik und
Physik. ZAMP. Journal of Applied Mathematics and
Physics. Journal de Math\'{e}matiques et de Physique
Appliqu\'{e}es",
journal-URL = "http://link.springer.com/journal/33",
}
@Book{Stiefel:1976:ENM,
author = "Eduard Stiefel",
title = "{Einf{\"u}hrung in die numerische Mathematik}.
({German}) [{Introduction} to Numerical Mathematics]",
volume = "2",
publisher = pub-TEUBNER,
address = pub-TEUBNER:adr,
edition = "Fifth",
pages = "292",
year = "1976",
ISBN = "3-519-12039-9",
ISBN-13 = "978-3-519-12039-1",
MRclass = "65-01",
MRnumber = "0431594",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
note = "Mit Beitr{\"a}gen von Hans-Rudolf Schwarz, F{\"u}nfte,
erweiterte Auflage, Leitf{\"a}den der Angewandten
Mathematik und Mechanik, Band 2, Teubner
Studienb{\"u}cher, Mathematik",
series = "LAMM Leitf{\"a}den der Angewandten Mathematik und
Mechanik; Teubner Studienb{\"u}cher. Mathematik",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
language = "German",
tableofcontents = "1 Lineare Algebra \\
1.1 Lineare Funktionen, Austausch / 14 \\
1.11 Summenkontrollen / 14 \\
1.12 Transponierte Beschriftung / 16 \\
1.13 Modifizierter Austausch / 16 \\
1.2 Inversion / 16 \\
1.21 L{\"o}sung linearer Gleichungen durch Inversion /
17 \\
1.22 Ausnahmef{\"a}lle, theoretische Folgerungen / 18
\\
1.23 Folgerungen f{\"u}r die Rechenpraxis / 21 \\
1.3 Praktische Aufl{\"o}sung linearer Gleichungen / 21
\\
1.31 Gau{\ss}sche Elimination / 21 \\
1.32 Nachtr{\"a}gliche Berechnung der inversen Matrix /
24 \\
1.33 Rundungsfehler / 24 \\
1.34 {\"U}berwiegende Diagonale, konzentrierter
Algorithmus / 25 \\
2 Lineare Programmierung \\
2.1 Ein Einf{\"u}hrungsbeispiel / 28 \\
2.11 Graphische L{\"o}sung / 29 \\
2.2 L{\"o}sung eines Programms mit dem
Austauschverfahren / 30 \\
2.3 Geometrische Interpretation des Simplex-Algorithmus
/ 34 \\
2.4 Verallgemeinerungen / 36 \\
2.41 Der allgemeinste Fall / 38 \\
2.5 Duale L{\"o}sungsmethode / 40 \\
2.6 Anwendung auf die Spieltheorie / 42 \\
2.61 Spiele mit Sattelpunkt / 46 \\
2.7 Ausgleichung nach Tschebyscheff / 47 \\
3 Ausgleichung nach kleinsten Quadraten und definite
Probleme \\
3.1 Die Methode der kleinsten Quadrate / 52 \\
3.11 Mittleres Residuum / 655 \\
3.12 Mehrere Unbekannte / 57 \\
3.2 Definite Probleme / 60 \\
3.21 Geometrische Interpretation / 62 \\
3.3 L{\"o}sung symmetrisch-definiter Gleichungen / 63
\\
3.31 Anwendung auf die Rechentechnik / 66 \\
3.4 Orthogonalit{\"a}t / 67 \\
4 Nichtlineare Algebra \\
4.1 Linearisierung / 69 \\
4.11 {\"U}bungen im Linearisieren / 72 \\
4.12 Funktionen mehrerer Variablen / 73 \\
4.3 Rekursionsformeln, Konvergenz / 77 \\
4.31 Rekursionen im Gebiete mehrerer Variablen / 80 \\
4.4 Newtonsche Methode f{\"u}r mehrere Unbekannte / 81
\\
4.41 Definite nichtlineare Probleme / 83 \\
4.5 Polynome / 84 \\
4.51 Das Rechenschema von Homer / 85 \\
4.52 Eigenschaften der Nullstellen / 87 \\
4.53 Division durch ein quadratisches Polynom / 88 \\
4.54 L{\"o}sung algebraischer Gleichungen / 89 \\
4.6 Direkte Methoden zur L{\"o}sung algebraischer
Gleichungen / 92 \\
4.61 Die Methode von Bernoulli / 93 \\
4.62 Konvergenzverbesserungen / 97 \\
4.63 Komplexe Pole / 98 \\
4.64 Der Rhomben-Algorithmus / 98 \\
4.65 Dominante Wurzel, Stabilit{\"a}t / 100 \\
5 Eigenwertprobleme \\
5.1 Ein Einf{\"u}hrungsbeispiel / 101 \\
5.2 Das charakteristische Polynom / 102 \\
5.21 Algorithmus f{\"u}r das charakteristische Polynom
/ 105 \\
5.22 Ausnahmef{\"a}lle / 107 \\
5.23 Symmetrische Eigenwertprobleme / 108 \\
5.24 Der Kreisesatz von Gerschgorin / 109 \\
5.3 Allgemeines Eigenwertproblem, iterative Methoden /
109 \\
5.31 Der. symmetrische Fall / 114 \\
5.32 Beispiel zur Iterationsmethode / 115 \\
5.4 Ausblicke / 118 \\
5.41 Lineare Schwinger / 119 \\
6 Differentialgleichungen \\
6.1 Numerische Differentiation / 123 \\
6.11 Weitere Formeln zur Differentiation / 127 \\
6.2 Numerische Integration / 128 \\
6.21 Trapezregel / 128 \\
6.22 Fortgesetzte Halbierung / 131 \\
6.23 Erg{\"a}nzungen zur Integrationstheorie / 136 \\
6.24 Periodische Funktionen / 137 \\
6.3 Differentialgleichung 1. Ordnung / 138 \\
6.31 Nichtlineare Differentialgleichung 1. Ordnung /
141 \\
6.32 Methode von Heun / 142 \\
6.33 Methoden von Runge-Kutta / 143 \\
6.34 Methode von Adams / 146 \\
6.4 Systeme von Differentialgleichungen 1. Ordnung /
148 \\
6.41 Differentialgleichungen h{\"o}herer Ordnung / 159
\\
6.42 Singularit{\"a}ten / 150 \\
6.43 Lineare Systeme mit konstanten Koeffizienten / 153
\\
6.44 Einiges {\"u}ber numerische Stabilit{\"a}t / 154
\\
6.45 Die Methode des st{\"a}rksten Abstiegs / 159 \\
6.5 Randwertaufgaben / 164 \\
6.51 Methode der Partikul{\"a}rl{\"o}sungen / 165 \\
6.52 Methode der Diskretisation / 169 \\
6.6 Partielle Differentialgleichungen / 175 \\
6.61 Parabolische Gleichungen / 176 \\
6.62 Elliptische Randwertprobleme / 180 \\
6.63 Krummer Rand / 185 \\
7 Approximationen \\
7.1 Das St{\"u}tzpolynom / 187 \\
7.11 Rechentechnik f{\"u}r die Lagrange-Formel / 190
\\
7.12 Anwendung auf die numerische Differentiation und
Interpolation / 193 \\
7.2 Systeme von Polynomen / 199 \\
7.21 Tschebyscheff-Polynome / 199 \\
7.22 Approximation durch Tschebyscheff-Entwicklung /
202 \\
7.23 Entwicklung des St{\"u}tzpolynoms / 205 \\
7.3 St{\"u}tzprobleme im Komplexen / 207 \\
7.31 Realit{\"a}tsverh{\"a}ltnisse / 210 \\
7.32 Harmonische Analyse (Fourier-Analyse) / 212 \\
7.33 Anwendung auf die Entwicklung nach
Tschebyscheff-Polynomen / 214 \\
8 Spline-Interpolation (von H.-R. Schwarz) \\
8.1 Charakterisierung der Spline-Funktion / 216 \\
8.11 Die Eigenschaften der Spline-Funktion / 217 \\
8.12 Verallgemeinerungen / 218 \\
8.2 Kubische Spline-Interpolation / 218 \\
8.21 Zweite Ableitungen als Unbekannte / 220 \\
8.22 Zur L{\"o}sung der tridiagonalen Gleichungssysteme
222 \\
8.23 Beispiel 224 \\
8.3 Erg{\"a}nzungen 225 \\
8.31 Allgemeine kubische Spline-Interpolation 225 \\
8.32 Glatte zweidimensionale Kurvendarstellung 227 \\
9 Die Methode der finiten Elemente (von H.-R. Schwarz)
\\
9.1 Grundlagen 229 \\
9.2 Die Grundidee der Methode der finiten Elemente 231
\\
9.3 Die Elementmatrizen 232 \\
9.4 Aufstellung des linearen Gleichungssystems 238 \\
9.5 Beispiel 238 \\
Anhang I Rechenbeispiele \\
1 Inversion einer 4reihigen Matrix 241 \\
2 Vier lineare Gleichungen. Gau{\ss}-Algorithmus 242
\\
3 Vier Gleichungen, konzentrierter Gau{\ss}-Algorithmus
243 \\
4 Methode von Bernoulli, kubische Gleichung 243 \\
5 Methode von Bernoulli, kubische Gleichung (komplexe
Wurzeln) 244 \\
6 Rhomben-Algorithmus 244 \\
7 Berechnung eines charakteristischen Polynoms und
eines zugeh{\"o}rigen Eigenwertes samt Eigenvektor 245
\\
8 Numerische Integration 246 \\
9 Methode von Runge-Kutta 246 \\
Anhang II Tabellen \\
1 Numerische Differentiation 248 \\
2 Numerische Integration 249 \\
3 St{\"u}tzkoeffizienten 249 \\
4 Harmonische Analyse, 12 St{\"u}tzwerte 250 \\
5 Erg{\"a}nzung einer Analyse mit 12 St{\"u}tzwerten zu
einer Analyse mit 24 St{\"u}tzwerten 251 \\
6 Harmonische Synthese, 12 St{\"u}tzwerte 252 \\
7 Harmonische Synthese, 24 St{\"u}tzwerte 253 \\
8 Nomogramm f{\"u}r die kubische Interpolation und die
Bildung der quadratischen Verbesserung 254 \\
9 Tschebyscheff-Polynome 255 \\
Anhang III Aufgaben 256 \\
Anhang IV Anleitungen zur L{\"o}sung der Aufgaben 266
\\
Literatur 286 \\
Sachverzeichnis 289",
}
@Article{Stiefel:1976:PCP,
author = "E. Stiefel and V. Szebehely and U. Kirchgraber",
title = "Preface to conference proceedings",
journal = j-CELEST-MECH,
volume = "14",
number = "1",
pages = "3--3",
month = mar,
year = "1976",
CODEN = "CLMCAV",
DOI = "https://doi.org/10.1007/bf01247125",
ISSN = "0008-8714 (print), 2214-7284 (electronic)",
ISSN-L = "0008-8714",
bibdate = "Wed Sep 2 21:25:54 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/bf01247125",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "Celestial mechanics",
journal-URL = "https://www.springer.com/journal/10569",
}
@Article{Stiefel:1976:RNI,
author = "E. Stiefel",
title = "Remarks on the numerical integration of near-parabolic
orbits",
journal = j-CELEST-MECH,
volume = "14",
number = "1",
pages = "85--90",
month = mar,
year = "1976",
CODEN = "CLMCAV",
DOI = "https://doi.org/10.1007/BF01247134",
ISSN = "0008-8714 (print), 2214-7284 (electronic)",
ISSN-L = "0008-8714",
MRclass = "70.65",
MRnumber = "431845",
MRreviewer = "Joseph Ford",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/BF01247134",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "Celestial Mechanics",
journal-URL = "https://www.springer.com/journal/10569",
}
@InProceedings{Stiefel:1976:TNG,
author = "E. Stiefel",
title = "From the Theory of Numbers via Gyroscopes and {Lie}
Algebras to Linear Celestial Mechanics",
crossref = "Szebehely:1976:LTP",
chapter = "1",
pages = "3--15",
year = "1976",
DOI = "https://doi.org/10.1007/978-94-010-1493-9_1",
bibdate = "Thu Sep 3 06:31:54 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "http://link.springer.com/chapter/10.1007/978-94-010-1493-9_1",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Book{Kirchgraber:1978:MAS,
author = "Urs Kirchgraber and Eduard Stiefel",
title = "{Methoden der analytischen St{\"o}rungsrechnung und
ihre Anwendungen}. ({German}) [{Methods} of analytical
perturbation calculation and their applications]",
volume = "44",
publisher = pub-TEUBNER,
address = pub-TEUBNER:adr,
pages = "viii + 294",
year = "1978",
DOI = "https://doi.org/10.1007/978-3-322-92147-5",
ISBN = "3-322-92148-4 (print), 3-519-02346-6, 3-322-92147-6",
ISBN-13 = "978-3-322-92148-2 (print), 978-3-519-02346-3,
978-3-322-92147-5",
LCCN = "QA372 .K55",
MRclass = "70-01 (34C29 58F05)",
MRnumber = "519513",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
series = "Leitf{\"a}den der Angewandten Mathematik und Mechanik
[Guides to Applied Mathematics and Mechanics]",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
language = "German",
tableofcontents = "Einf{\"u}hrung / 1 \\
Kapitel I / 15 \\
1 Transformation von Diflerentialgleichungssystemen,
Elemente / 15 \\
1.1 Autonome Systeme / 15 \\
1.2 Das Transformieren von
Differentialgleichungssystemen / 15 \\
1.3 Elementtransformationen / 17 \\
2 Die St{\"o}rungsgleichungen / 21 \\
2.1 Notationen / 21 \\
2.2 Die grundlegenden Formeln / 22 \\
2.3 Die St{\"o}rungsgleichungen / 26 \\
2.4 Der Zusammenhang mit der Mittelwertmethode / 30 \\
3 Integration der St{\"o}rungsgleichungen / 32 \\
3.1 Mittelwert- und Integrationsoperator / 32 \\
3.2 Die Integration der St{\"o}rungsgleichungen / 34
\\
3.3 Unwesentlich ausgeartete Systeme / 38 \\
Kommentare und Literaturhinweise zu Kapitel I / 47 \\
Kapitel II / 49 \\
4 Kreiselprobleme / 49 \\
4.1 Dynamische Grundlagen der Kreiseltheorie / 49 \\
4.2 Der schnelle Kreisel / 58 \\
5 Das Satellitenproblem / 69 \\
5.1 Die Bewegungsgleichungen / 70 \\
5.2 Elemente / 78 \\
5.3 Die St{\"o}rungsrechnung / 81 \\
5.4 Diskussion der Bewegung / 85 \\
5.5 Verschwindende Nenner / 87 \\
6 Bifurkation periodischer L{\"o}sungen / 88 \\
6.1 Ein autonomes System mit einer Familie von
Gleichgewichtsl{\"o}sungen / 88 \\
6.2 Die Hauptbetrachtung / 90 \\
6.3 Beweis des Lemmas / 94 \\
6.4 Anwendung auf ein neuro-biologisches Problem / 98
\\
Kommentare und Literaturhinweise zu Kapitel II / 101
\\
Kapitel III / 103 \\
7 Strukturbetrachtungen / 103 \\
7.1 Vorbereitungen / 104 \\
7.2 Erste Resultate / 106 \\
7.3 Unwesentlich ausgeartete Systeme / 110 \\
8 Hamiltonsche Differentialgleichungssysteme / 111 \\
8.1 Kanonische Systeme und Transformationen / 112 \\
8.2 St{\"o}rungsprobleme, Elementtransformationen / 114
\\
8.3 Die St{\"o}rungsgleichungen / 116 \\
8.4 Die Integration der St{\"o}rungsgleichungen / 118
\\
8.5 Gekoppelte harmonische Oszillatoren / 121 \\
9 Singularit{\"a}ten / 129 \\
9.1 Einf{\"u}hrende Betrachtungen / 130 \\
9.2 Modifizierte St{\"o}rungstheorie / 133 \\
9.3 Anwendungen / 143 \\
9.4 Begr{\"u}ndung der modifizierten
St{\"o}rungstheorie / 145 \\
10 Algebraische Aspekte der St{\"o}rungstheorie / 158
\\
10.1 Bezeichnungen / 159 \\
10.2 Die Hausdorfi-Campbell-Formel / 161 \\
10.3 Die Zusammensetzung zweier Lie-Reihen / 167 \\
10.4 Eine Herleitung der St{\"o}rungsgleichungen / 170
\\
Kommentare und Literaturhinweise zu Kapitel III / 171
\\
Kapitel IV / 173 \\
11 Fehlerabsch{\"a}tzungen / 173 \\
11.1 Transformation durch Lie-Reihen / 173 \\
11.2 Ein Approximationslemma / 181 \\
11.3 Fehlerabsch{\"a}tzungen f{\"u}r die
Mittelwertmethode / 184 \\
11.4 Anwendungen / 196 \\
11.5 Fehlerabsch{\"a}tzung unter Benutzung einer
Liapunov-Funktion / 196 \\
11.6 Ein Resonanzproblem / 200 \\
12 Invariante Mannigfaltigkeiten bei dissipativen
Systemen / 207 \\
12.1 Invariante Mannigfaltigkeiten f{\"u}r Abbildungen
/ 207 \\
12.2 Differenzierbarkeitseigenschaften der invarianten
Mannigfaltigkeit / 219 \\
12.3 Existenz invarianter Tori / 226 \\
12.4 Anwendung / 235 \\
13 Invariante Mannigfaltigkeiten bei Hamittonsehen
Systemen / 239 \\
13.1 Einf{\"u}hrende Betrachtungen, das Twist-Theorem /
239 \\
13.2 Der Beweis des Twist-Theorems / 246 \\
13.3 Stabilit{\"a}t periodischer L{\"o}sungen / 268 \\
Kommentare und Literaturhinweise zu Kapitel IV / 284
\\
Referenzliste / 286 \\
Sachverzeichnis / 293",
}
@Book{Stiefel:1979:GMI,
author = "Eduard Stiefel and Albert F{\"a}ssler",
title = "{Gruppentheoretische Methoden und ihre Anwendung}.
({German}) [{Group} theoretical methods and their
application]",
volume = "46",
publisher = pub-TEUBNER,
address = pub-TEUBNER:adr,
pages = "256",
year = "1979",
ISBN = "3-519-02348-2",
ISBN-13 = "978-3-519-02348-7",
MRclass = "20C35 (22E70 81C40)",
MRnumber = "544189",
MRreviewer = "Vojt\v{e}ch Kopsk\'{y}",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
note = "Eine Einf{\"u}hrung mit typischen Beispielen aus
Natur- und Ingenieurwissenschaften. [An introduction
with typical examples from natural and engineering
sciences], Teubner Studienb{\"u}cher Mathematik.
[Teubner Textbooks for Mathematics]",
series = "Leitf{\"a}den der Angewandten Mathematik und Mechanik
[Guides to Applied Mathematics and Mechanics]",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
language = "German",
tableofcontents = "1: Grundlagen \\
1.1 Begriff der Gruppe / 9 \\
1.2 Konkretisierungen von Gruppen / 13 \\
1.3 Darstellungen von Gruppen / 15 \\
1.4 {\"A}quivalenz von Darstellungen / 19 \\
1.5 Reduzibilit{\"a}t von Darstellungen / 20 \\
1.6 Vollreduzibilit{\"a}t / 22 \\
I.7 Grunds{\"a}tzliches / 26 \\
1.8 Darstellungen spezieller endlicher Gruppen / 27 \\
1.9 Kroneckerprodukte von Darstellungen / 3 \\
1.10 Unit{\"a}re Darstellungen / 31 \\
Aufgaben / 36 \\
2: Lineare Operatoren mit Symmetrien \\
2.1 Lemma von Schur / 36 \\
2.2 Symmetrie einer Matrix / 38 \\
2.3 Der Hauptsatz / 39 \\
Aufgaben / 50 \\
3: Tabellen symmetriegerechter Basisfunktionen mit
Anwendungen \\
3.1 Symmetriegerechte Basisfunktionen von Darstellungen
durch Permutationsmatrizen / 52 \\
3.2 Anwendungen in der Quantenphysik der Molek{\"u}le /
59 \\
3.3 Anwendungen auf partielle Differentialgleichungen /
61 \\
3.4 Fast-symmetrische Probleme / 66 \\
4: Kontinuierliche Gruppen mit Darstellungen \\
4.1 Kontinuierliche Matrixgruppen / 69 \\
4.2 Verwandtschaften einiger wichtiger kontinuierlicher
Gruppen / 73 \\
4.3 Konstruktion von Darstellungen einer beliebigen
Matrixgruppe (insbesondere von SU$_2$ bzw. S0$_3$) / 79
\\
4.4 Clebsch-Gordan-Reihe und -Koeffizienten,
Kugelfunktionen / 86 \\
4.5 Die Darstellungen der unimodularen Gruppe S L2(C)
und der eigentlichen positiven Lorentzgruppe $L$ / 95
\\
Aufgaben / 99 \\
5: Erzeugung symmetriegerechter Basisvektoren,
Charaktere \\
5.1 Orthogonalit{\"a}t irreduzibler Darstellungen / 100
\\
5.2 Algorithmus zur Bestimmung der invarianten
irreduziblen Teilr{\"a}ume mit symmetriegerechten
Basisvektoren / 104 \\
5.3 Anwendungen / 112 \\
5.4 {\"A}hnlichkeitsklassen von Gruppen / 129 \\
5.5 Charaktere / 135 \\
5.6 Darstellungstheorie endlicher Gruppen / 144 \\
5.7 Erweiterung auf Gruppen mit Mittelbildung / 147 \\
Aufgaben / 152 \\
6: Lie-Algebren \\
6.1 Infinitesimale Transformationen und
Exponentialkonstruktion / 154 \\
6.2 Lie-Algebra einer kontinuierlichen Gruppe / 159 \\
6.3 Darstellungen von Lie-Algebren / 1163 \\
6.4 Invariante irreduzible Teilr{\"a}ume von
Darstellungen der Gruppe SU$_2$ bzw. SO$_3$ / 170 \\
6.5 Anwendungen aus der Quantenmechanik / 175 \\
Aufgaben / 178 \\
7: Anwendungen in der Festk{\"o}rperphysik \\
7.1 Gitter / 181 \\
7.2 Endliche 3=dimensionale Punktgruppen und ihre
Darstellungen / 186 \\
7.3 Die 32 Kristallklassen / 191 \\
7.4 Symmetrien und die Methode von Ritz / 192 \\
7.5 Anwendungsbeispiele, kristallographische
Raumgruppen / 195 \\
Aufgaben / 208 \\
8: Unit{\"a}re und orthogonale Gruppen \\
8.1 Die unit{\"a}re Gruppe U$_n$ und die spezielle
unit{\"a}re Gruppe SU$_n$ / 210 \\
8.2 Die spezielle orthogonale Gruppe SO$_n$ / 221 \\
8.3 Invariante irreduzible Teilr{\"a}ume von
Darstellungen der SU$_3$ 225 \\
Aufgaben / 234 \\
L{\"o}sungen der Aufgaben / 235 \\
Verwendete Symbole, Zitattechnik / 249 \\
Sachverzeichnis / 250",
}
@Article{Stiefel:1980:PCP,
author = "E. Stiefel and V. Szebehely and U. Kirchgraber",
title = "Preface to Conference Proceedings",
journal = j-CELEST-MECH,
volume = "21",
number = "1",
pages = "6--6",
month = jan,
year = "1980",
CODEN = "CLMCAV",
DOI = "https://doi.org/10.1007/BF01230239",
ISSN = "0008-8714 (print), 2214-7284 (electronic)",
ISSN-L = "0008-8714",
bibdate = "Thu Sep 3 06:31:54 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://link.springer.com/article/10.1007/BF01230239",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "Celestial mechanics",
journal-URL = "https://www.springer.com/journal/10569",
}
@Book{Fassler:1992:GTM,
author = "A. F{\"a}ssler and E. Stiefel",
title = "Group Theoretical Methods and Their Applications",
publisher = pub-BIRKHAUSER-BOSTON,
address = pub-BIRKHAUSER-BOSTON:adr,
pages = "xii + 296",
year = "1992",
DOI = "https://doi.org/10.1007/978-1-4612-0395-7",
ISBN = "0-8176-3527-0",
ISBN-13 = "978-0-8176-3527-5",
MRclass = "20C35 (22E70 81R05)",
MRnumber = "1158662",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
note = "Translated from the German by Baoswan Dzung Wong.",
URL = "https://link.springer.com/article/10.1007/978-1-4612-0395-7",
abstract = "\ldots{} I wish to thank her for the beautiful work
and the numerous discussions on the contents of this
book. I am indebted to Peter Fassler, Neu-Technikum
Buchs, Switzerland, for drafting the figures, to my
students Kurt Rothermann and Stefan Strahl for computer
enhancing and labeling the graphics, to Pascal Felder
and Markus Wittwer for a simulation program that
generated the figures in the stochastics sections. My
thanks go to my new colleague at work, Daniel
Neuenschwander, for the inspiring discussions related
to the section in stochastics and for reading the
manuscript to it. I am also grateful to Dacfey Dzung
for reading the whole manuscript. Thanks go especially
to Professor Walter Gander of ETH, Zurich, who at the
finishing stage and as an expert of 'generously
invested numerous hours to assist us in solving
software as well as hardware problems; thanks go also
to Martin Muller, Ingenieurschule Biel, who made the
final layout of this book on the NeXT computer. Thanks
are also due to Helmut Kopka of the Max Planck
Institute, for solving software problems, and to
Professor Burchard Kaup of the University of Fribourg,
Switzerland for adding some useful software; also to
Birkh{\"a}user Boston Inc. for the pleasant
co-operation. Finally, let me be reminiscent of
Professor E. Stiefel (deceased 1978) with whom I had
many interesting discussions and true co-operation when
writing the book in German.",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
tableofcontents = "1 Preliminaries \\
1.1 The Concept of Groups \\
1.2 Price Index in Economics \\
1.3 The Realization of Groups \\
1.4 Representation of Groups \\
1.5 Equivalence of Representations \\
1.6 Reducibility of Representations \\
1.7 Complete Reducibility \\
1.8 Basic Conclusions \\
1.9 Representations of Special Finite Groups \\
1.10 Kronecker Products \\
1.11 Unitary Representations \\
Problems \\
2 Linear Operators with Symmetries \\
2.1 Schur's Lemma \\
2.2 Symmetry of a Matrix \\
2.3 The Fundamental Theorem \\
Problems \\
3 Symmetry Adapted Basis Functions \\
3.1 Illustration by Dihedral Groups \\
3.2 Application in Quantum Physics \\
3.3 Application to Finite Element Method \\
3.4 Perturbed Problems with Symmetry \\
3.5 Fast Fourier Transform on Finite Groups \\
4 Continuous Groups And Representations \\
4.1 Continuous Matrix Groups \\
4.2 Relationship Between Some Groups \\
4.3 Constructing Representations \\
4.4 Clebsch-Gordan Coefficients \\
4.5 The Lorentz group and SL(2,C) \\
Problems \\
5 Symmetry Ad. Vectors, Characters \\
5.1 Orthogonality of Representations \\
5.2 Algorithm for Symmetry Adapted Bases \\
5.3 Applications \\
5.4 Similarity Classes of Groups \\
5.5 Characters \\
5.6 Representation Theory of Finite Groups \\
5.7 Extension to Compact Lie Groups \\
Problems \\
6 Various Topics of Application \\
6.1 Bifurcation and A New Technique \\
6.2 A Diffusion Model in Probability Theory \\
Problems \\
7 Lie Algebras \\
7.1 Infinitesimal Operator and Exponential Map \\
7.2 Lie Algebra of a Continuous Group \\
7.3 Representation of Lie Algebras \\
7.4 Representations of SU(2) and SO(3) \\
7.5 Examples from Quantum Mechanics \\
Problems \\
8 Applications to Solid State Physics \\
8.1 Lattices \\
8.2 Point Groups and Representations \\
8.3 The 32 Crystal Classes \\
8.4 Symmetries and the Ritz Method \\
8.5 Examples of Applications \\
8.6 Crystallographic Space Groups \\
Problems \\
9 Unitary and Orthogonal Groups \\
9.1 The Groups U(n) and SU(n) \\
9.2 The Special Orthogonal Group SO(n) \\
9.3 Subspaces of Representations of SU(3) \\
A \\
Answers to Selected Problems",
}
@Article{Elton:1948:BRL,
author = "L. R. B. Elton",
title = "Book Review: {{\booktitle{Lehrbuch der darstellenden
Geometrie}}. By Eduard Stiefel. Pp. 173. 1947
(Birkh{\"a}user, Basel)}",
journal = j-MATH-GAZ,
volume = "32",
number = "298",
pages = "44--44",
month = feb,
year = "1948",
CODEN = "MAGAAS",
DOI = "https://doi.org/10.2307/3608655",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
ISSN-L = "0025-5572",
bibdate = "Fri Sep 4 07:33:09 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "http://www.jstor.org/stable/3608655",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Gazette",
journal-URL = "http://www.jstor.org/journal/mathgaze",
reviewed-author = "Eduard Stiefel",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Fox:1948:NSA,
author = "L. Fox and H. D. Huskey and J. H. Wilkinson",
title = "Notes on the solution of algebraic linear simultaneous
equations",
journal = j-QUART-J-MECH-APPLIED-MATH,
volume = "1",
pages = "149--173",
year = "1948",
CODEN = "QJMMAV",
DOI = "https://doi.org/10.1093/qjmam/1.1.149",
ISSN = "0033-5614 (print), 1464-3855 (electronic)",
ISSN-L = "0033-5614",
MRclass = "65.0X",
MRnumber = "MR0026421 (10,152i)",
MRreviewer = "E. Bodewig",
bibdate = "Fri May 14 17:18:08 2010",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib",
abstract = "In this paper four methods of solving simultaneous
equations and inverting matrices are described from the
viewpoint of the practical computer. The first three
methods can be performed on ordinary desk calculating
machines; the fourth uses Hollerith punched card
equipment. The desk methods considered are the method
of elimination or pivotal condensation, the method of
orthogonal vectors, and the method of Choleski. The
elimination method is, with slight variants, the simple
method taught at school, used in such a way that
solutions are obtained with the maximum possible speed
and accuracy. In the method of orthogonal vectors,
applicable only to symmetric matrices, a new set of
variables is chosen in such a way that the matrix is
transformed to a diagonal form, from which the solution
of equations or the inverse of the matrix is
immediately obtainable. The Choleski method, applied
here again only to symmetric matrices, expresses the
square matrix as the product of two triangular
matrices, the reciprocation of which is a relatively
simple operation. This method is quicker and more
accurate than the others and can be used, with slight
modifications, in the case of unsymmetric matrices. The
procedure used with punched card equipment is
essentially a mechanization of the elimination method,
with a considerable advantage in speed over the
corresponding desk method.",
acknowledgement = ack-nhfb,
fjournal = "The Quarterly Journal of Mechanics and Applied
Mathematics",
journal-URL = "http://qjmam.oxfordjournals.org/content/by/year",
remark = "The survey paper by Gene H. Golub and Dianne P.
O'Leary, ``Some History of the Conjugate Gradient and
{Lanczos} Algorithms: 1948--1976'', SIAM Review {\bf
31}(1) 50--102 March 1989, doi:10.1137/1031003, (entry
Golub:1989:SHC in golub-gene-h.bib) credits this paper
as the origin of the conjugate gradient method that was
later, and independently, developed in depth in 1951 by
Eduard Stiefel and Magnus Hestenes and published in
their joint paper, ``Methods of Conjugate Gradients for
Solving Linear Systems'' Journal of Research of the
National Bureau of Standards {\bf 49}(6) 409--436
December 1952, doi:10.6028/jres.049.044 (entry
Hestenes:1952:MCG in hestenes-magnus-r.bib and
stiefel-eduard.bib).",
}
@Article{Forsythe:1951:IMS,
author = "George E. Forsythe and Magnus R. Hestenes and J.
Barkley Rosser",
title = "Iterative methods for solving linear equations",
journal = j-BULL-AMS,
volume = "57",
number = "6",
pages = "480--480",
month = nov,
year = "1951",
CODEN = "BAMOAD",
ISSN = "0002-9904 (print), 1936-881X (electronic)",
ISSN-L = "0002-9904",
bibdate = "Thu Nov 09 15:37:46 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://www.ams.org/journals/bull/1951-57-06/",
acknowledgement = ack-nhfb,
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
remark = "One-paragraph abstract only. The survey paper by Gene
H. Golub and Dianne P. O'Leary, ``Some History of the
Conjugate Gradient and {Lanczos} Algorithms:
1948--1976'', SIAM Review {\bf 31}(1) 50--102 March
1989, doi:10.1137/1031003, (entry Golub:1989:SHC in
golub-gene-h.bib) credits this paper as one of two
precursors to the conjugate gradient method that was
later, and independently, developed in depth in 1951 by
Eduard Stiefel and Magnus Hestenes and published in
their joint paper, ``Methods of Conjugate Gradients for
Solving Linear Systems'' Journal of Research of the
National Bureau of Standards {\bf 49}(6) 409--436
December 1952, doi:10.6028/jres.049.044 (entry
Hestenes:1952:MCG in hestenes-magnus-r.bib and
stiefel-eduard.bib).",
}
@Article{Todd:1952:BRP,
author = "John Todd",
title = "Book Review: {{\booktitle{Programmgesteuerte digitale
Rechenger{\"a}te (elektronische Rechenmaschinen)}}, By
H. Ruthishauser, A. Speiser, and E. Stiefel.
(Mitteilungen aus dem Institut fur angewandte
Mathematik, no. 2.) Basel, Birkh{\"a}user, 1951. 102
pp. 8.50 Swiss fr.}",
journal = j-BULL-AMS,
volume = "58",
number = "2",
pages = "278--279",
month = mar,
year = "1952",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/s0002-9904-1952-09611-7",
ISSN = "0002-9904 (print), 1936-881X (electronic)",
ISSN-L = "0002-9904",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
remark = "From the one-paragraph review: ``In addition to
sections on history and bibliography there are careful
discussions of the organization of machines, the
representation of numbers, the handling of the
elementary operations, possible address-systems,
flow-diagrams, multiple-precision operations,
checks.''",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Rutishauser:1955:SPT,
author = "Heinz Rutishauser",
title = "Some Programming Techniques for the {ERMETH}",
journal = j-J-ACM,
volume = "2",
number = "1",
pages = "1--4",
month = jan,
year = "1955",
CODEN = "JACOAH",
DOI = "https://doi.org/10.1145/320789.320790",
ISSN = "0004-5411 (print), 1557-735x (electronic)",
ISSN-L = "0004-5411",
MRclass = "65.0X",
MRnumber = "68919",
bibdate = "Fri Nov 04 23:23:13 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib;
https://www.math.utah.edu/pub/tex/bib/jacm.bib",
URL = "https://dl.acm.org/doi/10.1145/320789.320790",
abstract = "At the Swiss Federal Institute of Technology,
Z{\"u}rich, Switzerland, an electronic digital computer
(ERMETH) with floating decimal arithmetic and a 10\,000
word magnetic drum storage is now under construction.
Director of the project is Dr. E. Stiefel of the
Institute.",
acknowledgement = ack-nhfb,
author-dates = "Heinz Rutishauser (30 January 1918--10 November
1970)",
fjournal = "Journal of the Association for Computing Machinery",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
received = "September 1954",
remark = "Gutknecht \cite[page 283]{Gutknecht:2007:NAZ} reports
that the ERMETH words held 16 decimal digits, of which
11 were the mantissa (significand).",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Strang:1961:BRR,
author = "W. Gilbert Strang",
title = "Book Review: {{\booktitle{Refined iterative methods
for computation of the solution and the eigenvalues of
self-adjoint boundary value problems}}. By M. Engeli,
Th. Ginsburg, H. Rutishauser, E. Stiefel.
Birkh{\"a}user Verlag, Basel, Stuttgart, 1959. 107 pp.
\$3.95}",
journal = j-QUART-APPL-MATH,
volume = "18",
number = "4",
pages = "374, 386",
month = jan,
year = "1961",
CODEN = "QAMAAY",
ISSN = "0033-569X (print), 1552-4485 (electronic)",
ISSN-L = "0033-569X",
bibdate = "Wed Aug 26 07:10:00 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://www.jstor.org/stable/43634808",
acknowledgement = ack-nhfb,
fjournal = "Quarterly of Applied Mathematics",
journal-URL = "http://dl.acm.org/citation.cfm?id=J641;
http://www.ams.org/journals/qam",
subject-dates = "Heinz Rutishauser (30 January 1918--10 November
1970); Eduard Stiefel (21 April 1909--25 November
1978)",
}
@Article{Svejgaard:1962:BRE,
author = "Bjarner Svejgaard",
title = "Book Review: {Eduard Stiefel,
\booktitle{Einf{\"u}hrung in die numerische
Mathematik}, B. G. Teubner Verlagsgesellschaft,
Stuttgart 1961. 234 S., 36 Fig.}",
journal = j-NORDISK-MATH-TIDSKR,
volume = "10",
number = "4",
pages = "211--213",
year = "1962",
DOI = "https://doi.org/10.2307/24524840",
ISSN = "0029-1412",
ISSN-L = "0029-1412",
bibdate = "Fri Sep 4 07:33:09 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "http://www.jstor.org/stable/24524840",
acknowledgement = ack-nhfb,
fjournal = "Nordisk Matematisk Tidskrift",
journal-URL = "http://www.jstor.org/journal/nordmatetids",
reviewed-author = "Eduard Stiefel",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Woods:1962:BRE,
author = "L. C. Woods",
title = "Book Review: {{\booktitle{Einf{\"u}hrung in die
numerische Mathematik}}. By Eduard Stiefel. Pp. 234 (B.
G. Teubner, Stuttgart)}",
journal = j-MATH-GAZ,
volume = "46",
number = "358",
pages = "341--341",
month = dec,
year = "1962",
CODEN = "MAGAAS",
DOI = "https://doi.org/10.2307/3611805",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
ISSN-L = "0025-5572",
bibdate = "Fri Sep 4 07:33:09 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "http://www.jstor.org/stable/3611805",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Gazette",
journal-URL = "http://www.jstor.org/journal/mathgaze",
reviewed-author = "Eduard Stiefel",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Hamming:1964:BRE,
author = "R. W. Hamming",
title = "Book Review: {Edward L. Stiefel, \booktitle{An
Introduction to Numerical Mathematics}, Academic Press,
Inc., New York, 1963, x + 286 p., 24 cm}",
journal = j-MATH-COMPUT,
volume = "18",
number = "88",
pages = "684--684",
month = oct,
year = "1964",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Fri Sep 04 08:06:22 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hamming-richard-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib",
URL = "https://www.jstor.org/stable/2002969",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Herriot:1964:BRI,
author = "J. G. Herriot",
title = "Book Review: {{\booktitle{An Introduction to Numerical
Mathematics}}. By Eduard Stiefel. Translated by Werner
C. Rheinbold, Academic Press, New York, 1963. x + 286
pp.}",
journal = j-AMER-MATH-MONTHLY,
volume = "71",
number = "9",
pages = "1065--1065",
month = nov,
year = "1964",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2311964",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Fri Sep 4 07:33:09 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "http://www.jstor.org/stable/2311964",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
remark = "Translation of the second German edition of
\booktitle{Einf{\"u}hrung in die numerische
Mathematik}.",
reviewed-author = "Eduard Stiefel and Werner C. Rheinboldt",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Herriot:1964:RPP,
author = "J. G. Herriot",
title = "Recent Publications and Presentations: {{\em An
Introduction to Numerical Mathematics}}, by {Eduard
Stiefel and Werner C. Rheinboldt}",
journal = j-AMER-MATH-MONTHLY,
volume = "71",
number = "9",
pages = "1065--1065",
month = nov,
year = "1964",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:39 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{R:1965:BRI,
author = "C. V. R.",
title = "Book Review: {{\booktitle{An Introduction to Numerical
Mathematics}}, by Eduard L. Stiefel. (Academic Press,
New York and London). 1963. Pp. 286}",
journal = j-CURR-SCI,
volume = "34",
number = "8",
pages = "264--264",
day = "20",
month = apr,
year = "1965",
CODEN = "CUSCAM",
DOI = "https://doi.org/10.2307/24063331",
ISSN = "0011-3891",
ISSN-L = "0011-3891",
bibdate = "Fri Sep 4 07:33:09 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "http://www.jstor.org/stable/24063331",
acknowledgement = ack-nhfb,
fjournal = "Current Science",
reviewed-author = "Eduard L. Stiefel",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Krueckeberg:1966:NIF,
author = "F. Krueckeberg",
editor = "E. Stiefel",
booktitle = "{Mathematische Methoden D. Himmelsmechanik U.
Astronautik}",
title = "{Zur Numerischen Integration Und Fehlerrechnung Bei
Gewoehnlichen Differentialgleichungen}",
publisher = pub-BIBLIO-INST,
address = pub-BIBLIO-INST:adr,
year = "1966",
bibdate = "Fri Jan 12 11:37:56 1996",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-jr,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Schmid:1969:BRF,
author = "E. Schmid",
title = "Book Review: {F. L. Bauer and A. S. Householder and F.
J. Olver and H. Rutishauser and K. Samelson and E.
Stiefel, Handbook for Automatic computation, Vol. I Die
Grundlehren der mathematischen Wissenschaften in
Einzeldarstellungen mit besonderer Ber{\"u}cksichtigung
der Anwendungsgebiete, Band 135}",
journal = j-COMPUTING,
volume = "4",
number = "3",
pages = "276--276",
month = sep,
year = "1969",
CODEN = "CMPTA2",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
bibdate = "Wed Nov 15 17:04:26 2000",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X;
https://www.math.utah.edu/pub/bibnet/authors/b/bauer-friedrich-ludwig.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/computing.bib",
acknowledgement = ack-ec,
fjournal = "Computing",
journal-URL = "http://link.springer.com/journal/607",
subject-dates = "Friedrich (``Fritz'') Ludwig Bauer (10 June 1924--26
March 2015); Eduard Stiefel (21 April 1909--25 November
1978)",
xxtitle = "Book Review: {F. L. Bauer and A. S. Householder and F.
J. Olver and H. Rutishauser and K. Samelson and E.
Stiefel, \booktitle{Handbook for Automatic computation,
Vol. I. Die Grundlehren der mathematischen
Wissenschaften in Einzeldarstellungen mit besonderer
Ber{\"u}cksichtigung der Anwendungsgebiete}, Band
135}",
}
@Article{Stetter:1969:BRH,
author = "H. J. Stetter",
title = "Book Review: {H. R. Schwarz, H. Rutishauser und E.
Stiefel, Numerik symmetrischer Matrizen (Leitfaden der
angewandten Mathematik und Mechanik, Bd. 11)}",
journal = j-COMPUTING,
volume = "4",
number = "4",
pages = "386--386",
month = dec,
year = "1969",
CODEN = "CMPTA2",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
bibdate = "Thu Jan 04 08:57:52 2001",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X;
https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/computing.bib",
acknowledgement = ack-ec,
author-dates = "Heinz Rutishauser (30 January 1918--10 November
1970)",
fjournal = "Computing",
journal-URL = "http://link.springer.com/journal/607",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Gitler:1970:TSM,
author = "S. Gitler and Kee Yuen Lam",
title = "The {$K$} theory of {Stiefel} manifolds",
journal = j-LECT-NOTES-MATH,
volume = "168",
pages = "35--66",
year = "1970",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0058517",
ISBN = "3-540-05300-X (print), 3-540-36437-4 (e-book)",
ISBN-13 = "978-3-540-05300-2 (print), 978-3-540-36437-5
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
MRclass = "57.45 (55.00)",
MRnumber = "0275469 (43 \#1223)",
MRreviewer = "K. H. Mayer",
bibdate = "Fri May 9 19:07:41 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1970.bib",
URL = "http://link.springer.com/article/10.1007/BFb0058513;
http://link.springer.com/article/10.1007/BFb0058517;
http://link.springer.com/chapter/10.1007/BFb0058517/",
acknowledgement = ack-nhfb,
book-DOI = "https://doi.org/10.1007/BFb0058513",
book-URL = "http://www.springerlink.com/content/978-3-540-36437-5",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{H:1970:BRH,
author = "A. S. H.",
title = "Book Review: {H. R. Schwarz, H. Rutishauser \& E.
Stiefel, \booktitle{Numerik Symmetrischer Matrizen}, B.
G. Teubner Verlag, Stuttgart, 1968, 243 pp., 22 cm.
Price DM 34-}",
journal = j-MATH-COMPUT,
volume = "24",
number = "109",
pages = "229--230",
month = jan,
year = "1970",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2004900",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Wed Aug 26 06:41:52 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib",
URL = "https://www.jstor.org/stable/2004900",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
subject-dates = "Heinz Rutishauser (30 January 1918--10 November
1970); Eduard Stiefel (21 April 1909--25 November
1978)",
}
@Article{Schmid:1970:BRF,
author = "E. Schmid",
title = "Book Review: {F. L. Bauer and A. S. Householder and F.
W. J. Oliver and H. Rutishauser and K. Samelson and E.
Stiefel (Hg.), \booktitle{Handbook for Automatic
Computation, Vol. I, Part B} (Die Grundlehren der
mathematischen Wissenschaften in Einzeldarstellungen
mit besonderer Ber{\"u}cksichtigung der
Anwendungsgebiete: Band 137)}",
journal = j-COMPUTING,
volume = "6",
number = "1--2",
pages = "214--214",
month = mar,
year = "1970",
CODEN = "CMPTA2",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
bibdate = "Wed Nov 15 17:04:26 2000",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X;
https://www.math.utah.edu/pub/bibnet/authors/b/bauer-friedrich-ludwig.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/computing.bib",
acknowledgement = ack-ec,
author-dates = "Heinz Rutishauser (30 January 1918--10 November
1970)",
fjournal = "Computing",
journal-URL = "http://link.springer.com/journal/607",
subject-dates = "Friedrich (``Fritz'') Ludwig Bauer (10 June 1924--26
March 2015); Eduard Stiefel (21 April 1909--25 November
1978)",
}
@Article{Albaseny:1971:BRN,
author = "E. L. Albaseny",
title = "Book reviews: {{\booktitle{Numerik Symmetrischer
Matrizen}}, by H. Rutishauser, E. Stiefel and H.
Schwarz, 1968; \booktitle{Computational Methods in
Partial Differential Equations}, by A. R. Mitchell,
1969}",
journal = j-COMP-J,
volume = "14",
number = "4",
pages = "374--374",
month = nov,
year = "1971",
CODEN = "CMPJA6",
DOI = "https://doi.org/10.1093/comjnl/14.4.374",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Sat Oct 07 16:29:57 2000",
bibsource = "http://www3.oup.co.uk/computer_journal/hdb/Volume_14/Issue_04/;
https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/compj.bib;
https://www.math.utah.edu/pub/tex/bib/compj1970.bib",
acknowledgement = ack-nhfb,
author-dates = "Heinz Rutishauser (30 January 1918--10 November
1970)",
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
rl = "http://www3.oup.co.uk/computer_journal/hdb/Volume_14/Issue_04/tiff/374.tif",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Strutt:1972:PHC,
author = "Joseph Strutt",
title = "Projective homotopy classes of {Stiefel} manifolds",
journal = j-CAN-J-MATH,
volume = "24",
number = "??",
pages = "465--476",
month = "????",
year = "1972",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-1972-039-5",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:38:43 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v24/;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/canjmath1970.bib",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Delchambre:1973:AMD,
author = "M. Delchambre",
title = "De l'avantage des m{\'e}thodes aux diff{\'e}rences
modifi{\'e}es de {Stiefel--Bettis} pour la
r{\'e}solution d'{\'e}quations diff{\'e}rentielles du
second ordre perturb{\'e}es. ({French}) [{The}
advantage of modified {Stiefel--Bettis} difference
methods for the solution of perturbed second order
differential equations]",
journal = j-NUM-MATH,
volume = "21",
number = "1",
pages = "33--36",
month = feb,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Univ. Libre Bruxelles, Belgium",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "difference equations; modified Stiefel Bettis
difference methods; nonlinear differential equations;
nonlinear van der Pol equation; perturbed second order
differential equations",
language = "French",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
treatment = "T Theoretical or Mathematical",
}
@Article{Dunham:1974:CSE,
author = "Charles B. Dunham",
title = "Convergence of {Stiefel}'s Exchange Method On an
Infinite Set",
journal = j-SIAM-J-NUMER-ANAL,
volume = "11",
number = "4",
pages = "729--731",
month = sep,
year = "1974",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Parlett:1974:BRH,
author = "Beresford N. Parlett",
title = "Book Review: {H. R. Schwarz, H. Rutishauser \& E.
Stiefel, translated by P. Hertelendy,
\booktitle{Numerical Analysis of Symmetric Matrices},
Prentice-Hall, Inc., Englewood Cliffs, N. J., 1973, xi
+ 276 pp., 24 cm.}",
journal = j-MATH-COMPUT,
volume = "28",
number = "125",
pages = "328--328",
month = jan,
year = "1974",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Wed Aug 26 06:30:00 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib;
https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib",
URL = "https://www.jstor.org/stable/2005845",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
subject-dates = "Heinz Rutishauser (30 January 1918--10 November
1970); Eduard Stiefel (21 April 1909--25 November
1978)",
}
@Article{Kurcheeva:1977:KSR,
author = "I. V. Kurcheeva",
title = "{Kustaanheimo--Stiefel} Regularization and
nonclassical canonical transformations",
journal = j-CELEST-MECH,
volume = "15",
number = "3",
pages = "353--365",
month = apr,
year = "1977",
CODEN = "CLMCAV",
DOI = "https://doi.org/10.1007/bf01228427",
ISSN = "0008-8714 (print), 2214-7284 (electronic)",
ISSN-L = "0008-8714",
bibdate = "Wed Sep 2 21:36:49 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "http://link.springer.com/article/10.1007/bf01228427;
https://link.springer.com/article/10.1007/BF01228427",
acknowledgement = ack-nhfb,
fjournal = "Celestial mechanics",
journal-URL = "https://www.springer.com/journal/10569",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Mardia:1977:DSG,
author = "K. V. Mardia",
title = "Distributions on {Stiefel} and {Grassmann} Manifolds,
and Their Applications",
journal = j-ADV-APPL-PROB,
volume = "9",
number = "3",
pages = "435--436",
month = sep,
year = "1977",
CODEN = "AAPBBD",
DOI = "https://doi.org/10.2307/1426097",
ISSN = "0001-8678 (print), 1475-6064 (electronic)",
ISSN-L = "0001-8678",
bibdate = "Sat May 3 07:41:13 MDT 2014",
bibsource = "http://www.jstor.org/stable/i262234;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/advapplprob.bib",
URL = "http://www.jstor.org/stable/1426097",
acknowledgement = ack-nhfb,
ajournal = "Adv. in Appl. Probab.",
fjournal = "Advances in Applied Probability",
journal-URL = "http://www.jstor.org/journals/00018678.html",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Nowakowski:1978:NCS,
author = "Jerzy Nowakowski and Andrzej Trautman",
title = "Natural connections on {Stiefel} bundles are
sourceless gauge fields",
journal = j-J-MATH-PHYS,
volume = "19",
number = "5",
pages = "1100--1103",
month = may,
year = "1978",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.523755",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
MRclass = "58D30 (53C05 53C80 81E10)",
MRnumber = "81a:58020",
MRreviewer = "C. S. Sharma",
bibdate = "Sat Oct 29 11:28:20 MDT 2011",
bibsource = "http://jmp.aip.org/;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1975.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v19/i5/p1100_s1",
acknowledgement = ack-nhfb,
classification = "A1110N (Gauge field theories)",
corpsource = "Center Theoretical Studies, Univ. of Miami, Coral
Gables, FL, USA",
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
keywords = "gauge field theory; Grassmannians; Hopf fibrations;
principal bundles; sourceless gauge fields; Stiefel
bundles",
onlinedate = "11 August 2008",
pagecount = "4",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
treatment = "T Theoretical or Mathematical",
}
@Article{Tuong:1978:EDT,
author = "Ton That Tuong",
title = "Explicit decomposition of tensor products of certain
analytic representations of symplectic groups",
journal = j-J-MATH-PHYS,
volume = "19",
number = "12",
pages = "2514--2519",
month = dec,
year = "1978",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.523634",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
MRclass = "22E45",
MRnumber = "80e:22019",
MRreviewer = "Mitsuo Sugiura",
bibdate = "Sat Oct 29 11:28:29 MDT 2011",
bibsource = "http://jmp.aip.org/;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1975.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v19/i12/p2514_s1",
acknowledgement = ack-nhfb,
classification = "A0220 (Group theory)",
corpsource = "Dept. of Math., Univ. of Iowa, Iowa City, IA, USA",
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
keywords = "group theory; solid symplectic Stiefel harmonics;
symplectic groups; tensor products; tensors",
onlinedate = "11 August 2008",
pagecount = "6",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
treatment = "T Theoretical or Mathematical",
}
@Article{Bauer:1979:ES,
author = "F. L. Bauer and G. H. Golub and A. S. Householder and
K. Samelson",
title = "{Eduard L. Stiefel}: 4/21/1909--11/27/1978",
journal = j-NUM-MATH,
volume = "32",
number = "4",
pages = "480--481",
month = dec,
year = "1979",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01401049",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "01A70",
MRnumber = "542208, 82e:01083",
bibdate = "Thu Aug 20 18:22:34 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/bauer-friedrich-ludwig.bib;
https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
note = "With a German translation.",
URL = "http://link.springer.com/article/10.1007/BF01401049",
acknowledgement = ack-nhfb,
author-dates = "Alston Scott Householder (1904--1993); Friedrich
(``Fritz'') Ludwig Bauer (10 June 1924--26 March 2015);
Gene Howard Golub (February 29, 1932--November 16,
2007); Klaus Samelson (21 December 1918--25 May 1980)",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
remark = "The death date in the title is wrong: it should be
11/25/1978.",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@TechReport{Hein:1979:BPD,
author = "Werner Hein",
title = "{Bibliographie Prof. Dr. Eduard Stiefel
(1909--1978)}",
type = "Report",
institution = "Seminar f{\"u}r Angewandte Mathematik der ETHZ",
address = "Zurich, Switzerland",
pages = "12",
year = "1979",
bibdate = "Thu Sep 03 12:55:03 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://www.swissbib.ch/Record/128184027/",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Waldvogel:1979:ES,
author = "J. Waldvogel and U. Kirchgraber and H. R. Schwarz and
P. Henrici",
title = "{Eduard Stiefel} (1909--1978)",
journal = j-Z-ANGE-MATH-PHYS,
volume = "30",
number = "2",
pages = "133--142 + 1",
year = "1979",
CODEN = "ZAMPA8",
DOI = "https://doi.org/10.1007/BF01601950",
ISSN = "0044-2275 (print), 1420-9039 (electronic)",
ISSN-L = "0044-2275",
MRclass = "01A70",
MRnumber = "535973",
bibdate = "Mon Jan 28 07:08:10 2019",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/henrici-peter.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
note = "With a bibliography and comments on the bibliography
by Stiefel",
URL = "http://link.springer.com/article/10.1007/BF01601950",
acknowledgement = ack-nhfb,
author-dates = "Peter Karl Henrici (13 September 1923--13 March
1987)",
fjournal = "Zeitschrift f{\"{u}}r Angewandte Mathematik und
Physik. ZAMP. Journal of Applied Mathematics and
Physics. Journal de Math\'{e}matiques et de Physiques
Appliqu\'{e}es",
journal-URL = "http://link.springer.com/journal/33",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Zuse:1979:REC,
author = "Konrad Zuse",
title = "{Die Rolle der ETH bei der Computerentwicklung. Dem
Andenken an Eduard Stiefel}. ({German}) [{The} role of
{ETH} in computer development: In memory of {Eduard
Stiefel}]",
journal = j-Z-ANGE-MATH-PHYS,
volume = "30",
number = "2",
pages = "399--403",
month = mar,
year = "1979",
CODEN = "ZAMPDB",
DOI = "https://doi.org/10.1007/bf01601951",
ISSN = "0044-2275 (print), 1420-9039 (electronic)",
ISSN-L = "0044-2275",
bibdate = "Fri Oct 27 16:09:33 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
author-dates = "Konrad Zuse (22 June 1910--18 December 1995)",
fjournal = "{Zeitschrift f{\"u}r Angewandte Mathematik und Physik
= Journal of Applied Mathematics and Physics}",
journal-URL = "http://link.springer.com/journal/33",
language = "German",
remark = "From \cite[p. 84]{OLeary:2001:MCG}: ``Stiefel was a
visionary who realized the enormous significance of the
new computing technology and the impact it would have
on mathematics and science. When he discovered in 1949
that a major computing engine, the Z4 of the German
designer Konrad Zuse, was sitting in the small alpine
village of Neukitchen, Germany, he traveled there and
arranged for the machine to be rented and moved to ETH.
Zuse, isolated by wartime secrecy, had independently
developed computing technology that in many ways was
superior to that available in the U.S. at the time
[13]. Stiefel's initiative made ETH the first European
university with an electronic computer, putting it in
the forefront of numerical computation and computer
science. This led to several breakthrough developments
by him and his colleagues, including the $ q d $
algorithm, the programming language ALGOL, and the
conjugate gradient algorithm.",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
}
@Article{Kirchgraber:1980:TRJ,
author = "Urs Kirchgraber",
title = "Towards a rigorous justification of the
{Stiefel--Baumgarte} stabilization method",
journal = j-CELEST-MECH,
volume = "21",
number = "2",
pages = "225--236",
month = feb,
year = "1980",
CODEN = "CLMCAV",
DOI = "https://doi.org/10.1007/bf01230901",
ISSN = "0008-8714 (print), 2214-7284 (electronic)",
ISSN-L = "0008-8714",
bibdate = "Wed Sep 2 21:38:06 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "http://link.springer.com/article/10.1007/bf01230901",
acknowledgement = ack-nhfb,
fjournal = "Celestial mechanics",
journal-URL = "https://www.springer.com/journal/10569",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Saad:1980:PBS,
author = "Y. Saad and A. H. Sameh",
editor = "M. H. Schultz",
key = "Saadsam",
booktitle = "Proc. Elliptic Problem Solver Conf.",
title = "A parallel Block {Stiefel} Method for Solving Positive
Definite Systems",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "405--412",
year = "1980",
bibdate = "Mon Oct 10 18:36:39 MDT 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/saad-yousef.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
xxpages = "405--411",
}
@Article{Szebehely:1980:ES,
author = "V. Szebehely and D. Saari and J. Waldvogal and U.
Kirchgrabe",
title = "{Eduard L. Stiefel (1909--1978)}",
journal = j-CELEST-MECH,
volume = "21",
number = "1",
pages = "2--4",
month = jan,
year = "1980",
CODEN = "CLMCAV",
DOI = "https://doi.org/10.1007/BF01230237",
ISSN = "0008-8714 (print), 2214-7284 (electronic)",
ISSN-L = "0008-8714",
bibdate = "Wed Sep 02 21:02:39 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "http://link.springer.com/article/10.1007/BF01230237;
https://link.springer.com/article/10.1007/BF01230237",
acknowledgement = ack-nhfb,
fjournal = "Celestial mechanics",
journal-URL = "https://www.springer.com/journal/10569",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Schwarz:1981:EYC,
author = "H. R. Schwarz",
title = "The Early Years of Computing in {Switzerland}",
journal = j-ANN-HIST-COMPUT,
volume = "3",
number = "2",
pages = "121--132",
month = apr # "\slash " # jun,
year = "1981",
CODEN = "AHCOE5",
DOI = "https://doi.org/10.1109/MAHC.1981.10013",
ISSN = "0164-1239",
ISSN-L = "0164-1239",
bibdate = "Fri Nov 1 15:29:18 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991);
https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/annhistcomput.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib",
URL = "http://dlib.computer.org/an/books/an1981/pdf/a2121.pdf;
http://www.computer.org/annals/an1981/a2121abs.htm",
acknowledgement = ack-nhfb,
content = "Schwartz describes two early computers used at the
Swiss Federal Institute of Technology (whose German
acronym is ETH) during the 1950s. Despite the more
general title, he does not mention any non-ETH
computers in this article. According to Schwartz, the
first programmable computer in Switzerland was the Z4
developed by Konrad Zuse in Germany during World War II
and installed at the ETH in 1950. Except for the ERMETH
(also at the ETH), he does not mention any subsequent
Swiss installations during the period, leaving a weak
implication that there were none.\par
The Z4 was an electromechanical machine with a total
data memory of 64 32-bit words and no program memory.
Programs were executed while being read from punched
tape. Conditional test instructions permitted
instructions on the tape to be skipped; other control
instructions caused an alternate tape reader to begin
processing a program (a form of subroutine-call). The
arithmetic unit could perform true floating-point
operations. This arithmetic unit contained built-in
functions for computing squares, reciprocals, and
square roots. (Ten years later, mere integer division
was still optional at an extra cost on the IBM 1401.)
There were special representations for infinity and
``undefined'' so that operations such as division by
zero could continue without interruption but with a
meaningful result.",
CRclass = "K.2.7 ERMETH; K.2 Hardware; K.2 Software",
CRnumber = "39473",
descriptor = "Computing Milieux, HISTORY OF COMPUTING; Computing
Milieux, HISTORY OF COMPUTING, ERMETH; Computing
Milieux, HISTORY OF COMPUTING, Hardware; Computing
Milieux, HISTORY OF COMPUTING, Software",
fjournal = "Annals of the History of Computing",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5488650",
reviewer = "D. Ross",
subject = "K. Computing Milieux; K.2 HISTORY OF COMPUTING",
subject-dates = "Ambros Speiser (13 November 1922--10 May 2003); Heinz
Rutishauser (30 January 1918--10 November 1970); Eduard
Stiefel (21 April 1909--25 November 1978)",
}
@Article{Hogan:1982:ESS,
author = "P. A. Hogan",
title = "An embedding of some {Stiefel} bundles",
journal = j-J-MATH-PHYS,
volume = "23",
number = "12",
pages = "2472--2474",
month = dec,
year = "1982",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.525291",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
MRclass = "53C05 (53C42 81G10)",
MRnumber = "84d:53027",
MRreviewer = "Andrzej Trautman",
bibdate = "Sat Oct 29 18:19:17 MDT 2011",
bibsource = "http://jmp.aip.org/;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1980.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v23/i12/p2472_s1",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
pagecount = "3",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Kirchgraber:1982:P,
author = "U. Kirchgraber and H. R{\"u}ssmann and V. Szebehely",
title = "Preface",
journal = j-CELEST-MECH,
volume = "28",
number = "1--2",
pages = "5--5",
month = sep,
year = "1982",
CODEN = "CLMCAV",
DOI = "https://doi.org/10.1007/bf01230653",
ISSN = "0008-8714 (print), 2214-7284 (electronic)",
ISSN-L = "0008-8714",
bibdate = "Wed Sep 2 21:28:18 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "http://link.springer.com/article/10.1007/bf01230653",
acknowledgement = ack-nhfb,
fjournal = "Celestial mechanics",
journal-URL = "https://www.springer.com/journal/10569",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Snyman:1982:HST,
author = "J. A. Snyman",
booktitle = "Proceedings of the eighth {South} {African} symposium
on numerical mathematics ({Durban}, 1982)",
title = "A {Hestenes--Stiefel} type method for solving
nonlinear two-point boundary value problems",
publisher = "University of Natal",
address = "Durban, South Africa",
pages = "125--137",
year = "1982",
ISBN = "0-86980-316-6",
ISBN-13 = "978-0-86980-316-5",
MRclass = "34B15 (49B10)",
MRnumber = "749413",
bibdate = "Tue Oct 24 12:40:19 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
}
@Article{Cusick:1984:FAE,
author = "Larry W. Cusick",
title = "Free actions by elementary abelian $2$-groups on
{Stiefel} manifolds",
journal = j-CAN-MATH-BULL,
volume = "27",
number = "1",
pages = "72--77",
month = mar,
year = "1984",
CODEN = "CMBUA3",
DOI = "https://doi.org/10.4153/CMB-1984-011-1",
ISSN = "0008-4395 (print), 1496-4287 (electronic)",
ISSN-L = "0008-4395",
bibdate = "Thu Sep 8 10:05:21 MDT 2011",
bibsource = "http://cms.math.ca/cmb/v27/;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/canmathbull.bib",
acknowledgement = ack-nhfb,
fjournal = "Canadian Mathematical Bulletin. Bulletin Canadien de
Math{\'e}matiques",
journal-URL = "http://cms.math.ca/cmb/",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Parker:1984:STG,
author = "Phillip E. Parker",
title = "On some theorems of {Geroch} and {Stiefel}",
journal = j-J-MATH-PHYS,
volume = "25",
number = "3",
pages = "597--599",
month = mar,
year = "1984",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.526209",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
MRclass = "57R15 (83C99)",
MRnumber = "85j:57037",
MRreviewer = "Ion Doru Albu",
bibdate = "Sat Oct 29 18:19:41 MDT 2011",
bibsource = "http://jmp.aip.org/;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1980.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v25/i3/p597_s1",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
pagecount = "3",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{McCleary:1985:CGS,
author = "John McCleary",
title = "Closed geodesics on {Stiefel} manifolds",
journal = j-LECT-NOTES-MATH,
volume = "1172",
pages = "157--162",
year = "1985",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0074429",
ISBN = "3-540-16061-2 (print), 3-540-39745-0 (e-book)",
ISBN-13 = "978-3-540-16061-8 (print), 978-3-540-39745-8
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
MRclass = "58E10 (55P62 57R99)",
MRnumber = "825779 (87e:58051)",
MRreviewer = "Yves F{\'e}lix",
bibdate = "Fri May 9 19:07:50 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1985.bib",
URL = "http://link.springer.com/article/10.1007/BFb0074420;
http://link.springer.com/article/10.1007/BFb0074429;
http://link.springer.com/chapter/10.1007/BFb0074429/",
acknowledgement = ack-nhfb,
book-DOI = "https://doi.org/10.1007/BFb0074420",
book-URL = "http://www.springerlink.com/content/978-3-540-39745-8",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Snaith:1985:SWC,
author = "Victor Snaith",
title = "{Stiefel--Whitney} classes of a symmetric bilinear
form --- a formula of {Serre}",
journal = j-CAN-MATH-BULL,
volume = "28",
number = "2",
pages = "218--222",
month = jun,
year = "1985",
CODEN = "CMBUA3",
DOI = "https://doi.org/10.4153/CMB-1985-025-2",
ISSN = "0008-4395 (print), 1496-4287 (electronic)",
ISSN-L = "0008-4395",
bibdate = "Thu Sep 8 10:05:27 MDT 2011",
bibsource = "http://cms.math.ca/cmb/v28/;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/canmathbull.bib",
acknowledgement = ack-nhfb,
fjournal = "Canadian Mathematical Bulletin. Bulletin Canadien de
Math{\'e}matiques",
journal-URL = "http://cms.math.ca/cmb/",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Hegedus:1987:GRHa,
author = "Csaba J. Heged{\H{u}}s",
title = "General recursions of {Hestenes--Stiefel} type for
conjugate directions. {I}. {The} direct recursion",
journal = "Alkalmazott Matematikai Lapok",
volume = "13",
number = "1--2",
pages = "83--96",
year = "1987/88",
ISSN = "0133-3399",
MRclass = "93B40 (49D07)",
MRnumber = "923189",
bibdate = "Tue Oct 24 12:40:19 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
ajournal = "Alkalmaz. Mat. Lapok",
fjournal = "Alkalmazott Matematikai Lapok",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
}
@Article{Hegedus:1987:GRHb,
author = "Cs. J. Heged{\H{u}}s",
title = "General recursions of {Hestenes--Stiefel} type for
conjugate directions. {II}. {The} reverse recursion",
journal = "Alkalmazott Matematikai Lapok",
volume = "13",
number = "3--4",
pages = "361--372",
year = "1987/88",
ISSN = "0133-3399",
MRclass = "65F99 (15A06 90C30)",
MRnumber = "978017",
bibdate = "Tue Oct 24 12:40:19 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
ajournal = "Alkalmaz. Mat. Lapok",
fjournal = "Alkalmazott Matematikai Lapok",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
}
@Article{Jain:1988:MSB,
author = "M. K. Jain",
title = "A modification of the {Stiefel--Bettis} method for
nonlinearly damped oscillators",
journal = j-BIT,
volume = "28",
number = "2",
pages = "302--307",
month = jun,
year = "1988",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/BF01934093",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "65L05",
MRnumber = "89c:65079",
MRreviewer = "E. H. Twizell",
bibdate = "Wed Jan 4 18:52:20 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=28&issue=2;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://link.springer.com/article/10.1007/BF01934093;
http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=28&issue=2&spage=302",
acknowledgement = ack-nhfb,
fjournal = "BIT (Nordisk tidskrift for informationsbehandling)",
journal-URL = "http://link.springer.com/journal/10543",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@TechReport{Bramley:1989:BSA,
author = "Randall Barry Bramley",
title = "Block {Stiefel} acceleration",
number = "CSRD 924",
institution = inst-UIUC-CSRD,
address = inst-UIUC-CSRD:adr,
pages = "18",
month = oct,
year = "1989",
bibdate = "Fri Aug 30 08:01:51 MDT 1996",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/super.bib",
abstract = "The block Stiefel (BST) method proposed by Y. Saad, A.
Sameh, and P. Saylor in 1985 is a modification of the
Chebyshev method for linear systems that tries to first
isolate $s$ components of the residual corresponding to
small eigenvalues, and then eliminate them by a
projection step. Iterating with BST gives a convergent
algorithm, and an analysis of the projection step shows
that it can remove the $s$ smallest eigenvalues from
the problem. However, when the isolation phase is
successful the projection step causes a growth in the
other components of the residual as large as the $
s^{\hbox {th}} $ power of the condition number of the
problem.",
acknowledgement = ack-nhfb,
annote = "Submitted to Mathematics of Computation, October 1989.
Supported by the Air Force Office of Scientific
Research. Supported by the National Science Foundation.
Supported by AT\&T. Supported by the U.S. Department of
Energy.",
keywords = "Chebyshev approximation; Eigenvalues; Linear systems",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Degtyarev:1992:SOR,
author = "A. I. Degtyarev",
title = "{Stiefel} orientations on a real algebraic variety",
journal = j-LECT-NOTES-MATH,
volume = "1524",
pages = "205--220",
year = "1992",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0084621",
ISBN = "3-540-55992-2 (print), 3-540-47337-8 (e-book)",
ISBN-13 = "978-3-540-55992-4 (print), 978-3-540-47337-4
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
MRclass = "57R19 (14P05)",
MRnumber = "1226254 (94g:57029)",
MRreviewer = "Margherita Galbiati",
bibdate = "Fri May 9 19:07:24 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1990.bib",
URL = "http://link.springer.com/article/10.1007/BFb0084605;
http://link.springer.com/article/10.1007/BFb0084621;
http://link.springer.com/chapter/10.1007/BFb0084621/",
acknowledgement = ack-nhfb,
book-DOI = "https://doi.org/10.1007/BFb0084605",
book-URL = "http://www.springerlink.com/content/978-3-540-47337-4",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Inomata:1993:TCQa,
author = "Akira Inomata and Georg Junker and Raj Wilson",
title = "Topological charge quantization via path integration:
An application of the {Kustaanheimo--Stiefel}
transformation",
journal = j-FOUND-PHYS,
volume = "23",
number = "6",
pages = "969--969",
month = jun,
year = "1993",
CODEN = "FNDPA4",
DOI = "https://doi.org/10.1007/BF01891519",
ISSN = "0015-9018 (print), 1572-9516 (electronic)",
ISSN-L = "0015-9018",
bibdate = "Tue Jun 11 20:35:51 MDT 2013",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0015-9018&volume=23&issue=6;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/foundphys.bib",
URL = "http://link.springer.com/article/10.1007/BF01891519",
acknowledgement = ack-nhfb,
fjournal = "Foundations of Physics",
journal-URL = "http://link.springer.com/journal/10701",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Inomata:1993:TCQb,
author = "Akira Inomata and Georg Junker and Raj Wilson",
title = "Topological charge quantization via path integration:
An application of the {Kustaanheimo--Stiefel}
transformation",
journal = j-FOUND-PHYS,
volume = "23",
number = "8",
pages = "1073--1091",
month = aug,
year = "1993",
CODEN = "FNDPA4",
DOI = "https://doi.org/10.1007/BF00732414",
ISSN = "0015-9018 (print), 1572-9516 (electronic)",
ISSN-L = "0015-9018",
bibdate = "Tue Jun 11 20:35:54 MDT 2013",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0015-9018&volume=23&issue=8;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/foundphys.bib",
URL = "http://link.springer.com/article/10.1007/BF00732414",
acknowledgement = ack-nhfb,
fjournal = "Foundations of Physics",
journal-URL = "http://link.springer.com/journal/10701",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Svrtan:1993:NPO,
author = "Dragutin Svrtan",
title = "New plethysm operation, {Chern} characters of exterior
and symmetric powers with applications to
{Stiefel-Whitney} classes of {Grassmannians}",
journal = j-THEOR-COMP-SCI,
volume = "117",
number = "1--2",
pages = "289--301",
day = "30",
month = aug,
year = "1993",
CODEN = "TCSCDI",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Mon Jul 19 22:17:30 MDT 1999",
bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_free/browse/browse.cgi?year=1993&volume=117&issue=1-2;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/tcs1990.bib",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_sub/browse/browse.cgi?year=1993&volume=117&issue=1-2&aid=1428",
acknowledgement = ack-nhfb,
classification = "B0250 (Combinatorial mathematics); C1160
(Combinatorial mathematics)",
conflocation = "Bordeaux, France; 2-5 May 1991",
conftitle = "Conference on Formal Power Series and Algebraic
Combinatorics",
corpsource = "Dept. of Math., Zagreb Univ., Croatia",
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975/",
keywords = "Chern characters; combinatorial mathematics; exterior
powers; multiplicative sequences; plethysm operation;
series (mathematics); Stiefel-Whitney classes of
grassmannians; symmetric powers",
pubcountry = "Netherlands",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Deprit:1994:LLV,
author = "Andr{\'e} Deprit and Antonio Elipe and Sebasti{\'a}n
Ferrer",
title = "Linearization: {Laplace} vs. {Stiefel}",
journal = j-CELEST-MECH-DYN-ASTR,
volume = "58",
number = "2",
pages = "151--201",
month = feb,
year = "1994",
CODEN = "CLMCAV",
DOI = "https://doi.org/10.1007/bf00695790",
ISSN = "0923-2958 (print), 1572-9478 (electronic)",
ISSN-L = "0923-2958",
bibdate = "Wed Sep 2 21:32:03 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "http://link.springer.com/article/10.1007/bf00695790",
acknowledgement = ack-nhfb,
fjournal = "Celestial Mechanics and Dynamical Astronomy",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Guo:1995:GCH,
author = "Wen Ying Guo and Da Chuan Xu and Gui Cheng Shen",
title = "Global convergence of the {Hestenes--Stiefel}
conjugate gradient method",
journal = "Kexue Tongbao (Chinese)",
volume = "40",
number = "23",
pages = "2113--2117",
year = "1995",
ISSN = "0023-074X",
MRclass = "65K10",
MRnumber = "1396219",
bibdate = "Tue Oct 24 12:40:19 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
fjournal = "Kexue Tongbao. Chinese Science Bulletin",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
}
@Misc{Lee:1995:CPM,
author = "J. A. N. Lee",
title = "Computer Pioneers: {Magnus R. Hestenes}",
howpublished = "IEEE Web site.",
year = "1995",
bibdate = "Tue Oct 24 12:28:39 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://history.computer.org/pioneers/hestenes.html",
acknowledgement = ack-nhfb,
remark = "From the article: ``Hestenes and Eduard Stiefel (of
Zurich) devised the [conjugate gradient] method
independently, but merged their ideas into a single
paper in 1952 [\cite{Hestenes:1952:MCG}]. It took
almost 20 years for computer technology to catch up
with Hestenes' ideas, making possible the storage and
solution through conjugate gradients of large sparse
linear systems for which elimination methods were
impractical.''",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
}
@Article{Qi:1996:MHS,
author = "Hou Duo Qi and Ji Ye Han and Guang Hui Liu",
title = "The modified {Hestenes--Stiefel} conjugate gradient
method",
journal = "Chinese Annals of Mathematics. Series A. Shuxue
Niankan. A Ji",
volume = "17",
number = "3",
pages = "277--284",
year = "1996",
ISSN = "1000-8314",
MRclass = "90C30 (65K05)",
MRnumber = "1431378",
bibdate = "Tue Oct 24 12:40:19 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
ajournal = "Chinese Ann. Math. Ser. A",
fjournal = "Chinese Annals of Mathematics. Series A. Shuxue
Niankan. A Ji",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
}
@Article{Fang:1997:SMG,
author = "Kai-Tai Fang and Run-Ze Li",
title = "Some methods for generating both an {NT}-net and the
uniform distribution on a {Stiefel} manifold and their
applications",
journal = j-COMPUT-STAT-DATA-ANAL,
volume = "24",
number = "1",
pages = "29--46",
day = "6",
month = mar,
year = "1997",
CODEN = "CSDADW",
ISSN = "0167-9473 (print), 1872-7352 (electronic)",
ISSN-L = "0167-9473",
bibdate = "Fri Feb 6 11:40:15 MST 2015",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/computstatdataanal1990.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0167947396000576",
acknowledgement = ack-nhfb,
fjournal = "Computational Statistics \& Data Analysis",
journal-URL = "http://www.sciencedirect.com/science/journal/01679473",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Ma:1998:MEC,
author = "Y. Ma and J. Kosecka and S. Sastry",
booktitle = "{Proceedings of the 37th IEEE Conference on Decision
and Control (Cat. No.98CH36171)}",
title = "Motion estimation in computer vision: optimization on
{Stiefel} manifolds",
volume = "4",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "3751--3756 vol.4",
year = "1998",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/bauer-friedrich-ludwig.bib;
https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
}
@TechReport{Speiser:1998:EYI,
author = "Ambros P. Speiser",
title = "The Early Years of the Institute: Acquisition and
Operation of the {Z4}, Planning of the {ERMETH}",
type = "Report",
institution = "Department of Computer Science, ETH Z{\"u}rich",
address = "Z{\"u}rich, Switzerland",
year = "1998",
bibdate = "Tue Oct 22 10:43:15 2024",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Heinz Rutishauser (30 January 1918--10 November
1970); Eduard Stiefel (21 April 1909--25 November
1978)",
}
@Article{Astey:1999:CCP,
author = "L. Astey and S. Gitler and E. Micha and G. Pastor",
title = "Cohomology of Complex Projective {Stiefel} Manifolds",
journal = j-CAN-J-MATH,
volume = "51",
number = "5",
pages = "897--914",
month = oct,
year = "1999",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-1999-039-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "55N10, 55S10",
bibdate = "Sat Sep 10 15:39:08 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v51/;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/canjmath.bib;
https://www.math.utah.edu/pub/tex/bib/canjmath1990.bib",
abstract = "The cohomology algebra mod $p$ of the complex
projective Stiefel manifolds is determined for all
primes $p$. When $ p = 2$ we also determine the action
of the Steenrod algebra and apply this to the problem
of existence of trivial subbundles of multiples of the
canonical line bundle over a lens space with
$2$-torsion, obtaining optimal results in many cases.",
acknowledgement = ack-nhfb,
ams-subject-primary = "55N10, 55S10",
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
journalabbrev = "CJM",
language = "English",
refnum = "0929",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Bojanczyk:1999:PPO,
author = "A. W. Bojanczyk and A. Lutoborski",
title = "The {Procrustes} Problem for Orthogonal {Stiefel}
Matrices",
journal = j-SIAM-J-SCI-COMP,
volume = "21",
number = "4",
pages = "1291--1304",
month = jul,
year = "1999",
CODEN = "SJOCE3",
DOI = "https://doi.org/10.1137/S106482759630992X",
ISSN = "1064-8275 (print), 1095-7197 (electronic)",
ISSN-L = "1064-8275",
bibdate = "Fri Oct 27 13:32:22 MDT 2000",
bibsource = "http://epubs.siam.org/toc/sjoce3/21/4;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
URL = "http://epubs.siam.org/sam-bin/dbq/article/30992",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Scientific Computing",
journal-URL = "http://epubs.siam.org/sisc",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Elden:1999:PPS,
author = "Lars Eld{\'e}n and Haesun Park",
title = "A {Procrustes} problem on the {Stiefel} manifold",
journal = j-NUM-MATH,
volume = "82",
number = "4",
pages = "599--619",
month = jun,
year = "1999",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Mon Oct 18 10:45:11 MDT 1999",
bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9082004.htm;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9082004/90820599.htm;
http://link.springer-ny.com/link/service/journals/00211/papers/9082004/90820599.pdf",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Speiser:1999:EYI,
author = "Ambros P. Speiser",
title = "The Early Years of the Institute: Acquisition and
Operation of the {Z4}, Planning of the {ERMETH}",
journal = j-GAMM-MIT,
volume = "22",
number = "2",
pages = "159--168",
month = "????",
year = "1999",
ISSN = "0936-7195",
bibdate = "Tue Oct 22 10:43:15 2024",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
ajournal = "GAMM Mitt. Ges. Angew. Math. Mech.",
fjournal = "Mitteilungen der Gesellschaft f{\"u}r Angewandte
Mathematik und Mechanik",
subject-dates = "Heinz Rutishauser (30 January 1918--10 November
1970); Eduard Stiefel (21 April 1909--25 November
1978)",
}
@Article{Cipra:2000:BCE,
author = "Barry A. Cipra",
title = "The Best of the {20th Century}: Editors Name Top 10
Algorithms",
journal = j-SIAM-NEWS,
volume = "33",
number = "4",
pages = "1--2",
month = may,
year = "2000",
ISSN = "0036-1437",
ISSN-L = "0036-1437",
bibdate = "Thu Sep 03 19:34:45 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/tukey-john-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/u/ulam-stanislaw-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib;
https://www.math.utah.edu/pub/tex/bib/fortran3.bib",
URL = "https://archive.siam.org/pdf/news/637.pdf",
acknowledgement = ack-nhfb,
fjournal = "SIAM News",
journal-URL = "http://www.siam.org/news/",
keywords = "1946: Monte Carlo method (John von Neumann, Stan Ulam,
and Nick Metropolis); 1947: simplex method for linear
programming (George Dantzig); 1950: Krylov subspace
iteration methods and conjugate gradient (Magnus
Hestenes, Eduard Stiefel, and Cornelius Lanczos); 1951:
decompositional approach to matrix computations (Alston
Householder); 1957: Fortran optimizing compiler (John
Backus); 1959--1961: QR algorithm (J. G. F. Francis);
1962: Quicksort (Tony Hoare); 1965: Fast Fourier
Transform (James Cooley and John Tukey); 1977: integer
relation detection algorithm (Helaman Ferguson and
Rodney Forcade); 1987: fast multipole algorithm (Leslie
Greengard and Vladimir Rokhlin)",
subject-dates = "Alston Scott Householder (5 May 1904--4 July 1993);
Cornelius Lanczos (2 February 1893--25 June 1974);
Eduard Stiefel (21 April 1909--25 November 1978);
George Bernard Dantzig (8 November 1914--13 May 2005);
James William Cooley (1926--June 29, 2016); John Warner
Backus (3 December 1924--17 March 2007); John Wilder
Tukey (16 June 1915--26 July 2000); Magnus Rudolph
Hestenes (13 February 1906--31 May 1991); Neumann
J{\'a}nos (28 December 1903--8 February 1957); Nicholas
Constantine Metropolis (11 June 1915--17 October 1999);
Stanis{\l}aw Marcin Ulam (13 April 1909--13 May 1984)",
}
@Article{Dongarra:2000:GEI,
author = "Jack Dongarra and Francis Sullivan",
title = "{Guest Editors}' Introduction: The Top 10 Algorithms",
journal = j-COMPUT-SCI-ENG,
volume = "2",
number = "1",
pages = "22--23",
month = jan # "\slash " # feb,
year = "2000",
CODEN = "CSENFA",
DOI = "https://doi.org/10.1109/MCISE.2000.814652",
ISSN = "1521-9615 (print), 1558-366X (electronic)",
ISSN-L = "1521-9615",
bibdate = "Fri Oct 13 14:31:09 2000",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib;
https://www.math.utah.edu/pub/tex/bib/computscieng.bib;
https://www.math.utah.edu/pub/tex/bib/fortran3.bib",
note = "See correspondence \cite{Makino:2000:LEF}.",
URL = "http://dlib.computer.org/cs/books/cs2000/pdf/c1022.pdf;
http://www.computer.org/cse/cs1999/c1022abs.htm",
abstract = "In putting together this issue of CiSE, we knew three
things: it would be difficult to list just 10
algorithms; it would be fun to assemble the authors and
read their papers; and, whatever we came up with in the
end, it would be controversial. We tried to assemble
the 10 algorithms with the greatest influence on the
development and practice of science and engineering in
the 20th century. Following is our list (in
chronological order): Metropolis Algorithm for Monte
Carlo; Simplex Method for Linear Programming; Krylov
Subspace Iteration Methods; The Decompositional
Approach to Matrix Computations; The Fortran Optimizing
Compiler; QR Algorithm for Computing Eigenvalues;
Quicksort Algorithm for Sorting; Fast Fourier
Transform; Integer Relation Detection; Fast Multipole
Method",
acknowledgement = ack-nhfb,
fjournal = "Computing in Science and Engineering",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5992",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Magnus Rudolph Hestenes (13 February 1906--31 May
1991)",
}
@InProceedings{Fiori:2000:SGF,
author = "S. Fiori",
booktitle = "{Proceedings of the IEEE-INNS-ENNS International Joint
Conference on Neural Networks. IJCNN 2000. Neural
Computing: New Challenges and Perspectives for the New
Millennium}",
title = "{Stiefel--Grassman} flow ({SGF}) learning: further
results",
volume = "3",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "343--348 vol.3",
year = "2000",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Book{Rojas:2000:FCH,
editor = "Ra{\'u}l Rojas and Ulf Hashagen",
booktitle = "The First Computers: History and Architectures",
title = "The First Computers: History and Architectures",
publisher = pub-MIT,
address = pub-MIT:adr,
pages = "xii + 457",
year = "2000",
ISBN = "0-262-18197-5 (hardcover), 0-585-35535-5
(electronic)",
ISBN-13 = "978-0-262-18197-6 (hardcover), 978-0-585-35535-1
(electronic)",
LCCN = "QA76.17 .F57 2000",
bibdate = "Sat Nov 20 19:51:29 MST 2010",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/bauer-friedrich-ludwig.bib;
https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wilkes-maurice-v.bib;
https://www.math.utah.edu/pub/tex/bib/annhistcomput.bib;
https://www.math.utah.edu/pub/tex/bib/cryptography2000.bib;
z3950.loc.gov:7090/Voyager",
series = "History of computing",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Friedrich (``Fritz'') Ludwig Bauer (10 June 1924--26
March 2015); Heinz Rutishauser (30 January 1918--10
November 1970); John von Neumann (28 December 1903--8
February 1957); Sir Maurice Vincent Wilkes (26 June
1913--29 November 2010)",
subject = "Computers; History; Computer architecture",
tableofcontents = "A preview of things to come: some remarks on the
first generation of computers / Michael R. Williams /
1--13 \\
The structures of computation / Michael S. Mahoney /
17--32 \\
Reconstructions, historical and otherwise: the
challenge of high-tech artifacts / Robert W. Seidel /
33--52 \\
A classification scheme for program controlled
calculators / Andreas Brennecke / 53--68 \\
Hardware components and computer design / Harry D.
Huskey / 69--87 \\
Reconstruction of the Atanasoff--Berry Computer / John
Gustafson / 91--106 \\
Howard Aiken and the dawn of the computer age / I.
Bernard Cohen / 107--120 \\
The ENIAC: history, operation, and reconstruction in
VLSI / Jan Van der Spiegel, James F. Tau, Titiimaea F.
Ala'ilima, Lin Ping Ang / 121--178 \\
The Institute for Advanced Study Computer: a case study
in the application of concepts from the history of
technology / William Aspray / 179--193 \\
Nothing new since von Neumann: a historian looks at
computer architecture, 1945--1995 / Paul Ceruzzi /
195--217 \\
The DEHOMAG D11 tabulator: a milestone in the history
of data processing / Friedrich W. Kistermann / 221--235
\\
The architecture of Konrad Zuse's early computing
machines / Ra{\'u}l Rojas / 237--261 \\
Konrad Zuse's Z4: architecture, programming, and
modifications at the ETH Zurich / Ambros P. Speiser /
263--276 \\
The Plankalk{\"u}l of Konrad Zuse revisited / Friedrich
L. Bauer / 277--293 \\
The G1 and the G{\"o}ttingen family of digital
computers / Wilhelm Hopmann / 295--313 \\
Konrad Zuse and industrial manufacturing of electronic
computers in Germany / Hartmut Petzold / 315--322 \\
Helmut Hoelzer: inventor of the electronic analog
computer / Thomas Lange / 323--348 \\
The Colossus of Bletchley Park: the German cipher
system / Anthony E. Sale / 351--364 \\
The Manchester Mark 1 computers / R. B. E. Napper /
365--377 \\
Rebuilding the first Manchester computer / Christopher
P. Burton / 379--386 \\
The Atlas computer / Frank H. Sumner / 387--396 \\
Past into present: the EDSAC simulator / Martin
Campbell-Kelly / 397--416 \\
The first Japanese computers and their software
simulators / Seiichi Okoma / 419--434 \\
The {Parametron Computer PC-1} and its initial input
routine / Eiiti Wada / 435--452",
}
@Article{Chang:2001:ELR,
author = "Ted Chang and Louis-Paul Rivest",
title = "{$M$}-estimation for location and regression
parameters in group models: a case study using
{Stiefel} manifolds",
journal = j-ANN-STAT,
volume = "29",
number = "3",
pages = "784--814",
month = jun,
year = "2001",
CODEN = "ASTSC7",
ISSN = "0090-5364 (print), 2168-8966 (electronic)",
ISSN-L = "0090-5364",
bibdate = "Wed Jun 4 06:40:48 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/annstat2000.bib",
URL = "http://projecteuclid.org/euclid.aos/1009210690",
acknowledgement = ack-nhfb,
fjournal = "Annals of Statistics",
journal-URL = "http://projecteuclid.org/all/euclid.aos/",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{delBuono:2001:RKT,
author = "N. del Buono and L. Lopez",
title = "{Runge--Kutta} Type Methods Based on Geodesics for
Systems of {ODEs} on the {Stiefel} Manifold",
journal = j-BIT-NUM-MATH,
volume = "41",
number = "5",
pages = "912--923",
month = dec,
year = "2001",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1023/A:1021924825224",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Wed Jan 4 15:06:05 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=41&issue=5;
http://www.mai.liu.se/BIT/contents/bit41.html;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=41&issue=5&spage=912",
acknowledgement = ack-nhfb,
fjournal = "BIT Numerical Mathematics",
journal-URL = "http://link.springer.com/journal/10543",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Fiori:2001:TLW,
author = "S. Fiori",
title = "A Theory for Learning by Weight Flow on
{Stiefel--Grassman} Manifold",
journal = j-NEURAL-COMP,
volume = "13",
number = "7",
pages = "1625--1647",
year = "2001",
CODEN = "NEUCEB",
ISSN = "0899-7667 (print), 1530-888X (electronic)",
ISSN-L = "0899-7667",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
fjournal = "Neural Computation",
journal-URL = "http://www.mitpressjournals.org/loi/neco",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Manton:2001:MSD,
author = "J. H. Manton",
booktitle = "{Proceedings of the Sixth International Symposium on
Signal Processing and its Applications
(Cat.No.01EX467)}",
title = "Modified steepest descent and {Newton} algorithms for
orthogonally constrained optimisation. {Part I}. {The}
complex {Stiefel} manifold",
volume = "1",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "80--83 vol.1",
year = "2001",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InCollection{OLeary:2001:MCG,
author = "Dianne P. O'Leary",
title = "Methods of Conjugate Gradients for Solving Linear
Systems",
crossref = "Lide:2001:CEM",
pages = "81--85",
year = "2001",
bibdate = "Wed Oct 25 15:19:12 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://nvlpubs.nist.gov/nistpubs/sp958-lide/077-080.pdf",
acknowledgement = ack-nhfb,
subject-dates = "Magnus Rudolph Hestenes (13 February 1906--31 May
1991)",
}
@Article{Shi:2001:MHS,
author = "Zhen Jun Shi",
title = "A modified {Hestenes--Stiefel} conjugate gradient
method and its global convergence",
journal = "Mathematica Numerica Sinica. Jisuan Shuxue",
volume = "23",
number = "4",
pages = "393--406",
year = "2001",
ISSN = "0254-7791",
MRclass = "90C52 (65K10)",
MRnumber = "1881814",
bibdate = "Tue Oct 24 12:40:19 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
ajournal = "Math. Numer. Sin.",
fjournal = "Mathematica Numerica Sinica. Jisuan Shuxue",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
}
@InProceedings{Nikpour:2002:ASM,
author = "M. Nikpour and J. H. Manton and G. Hori",
booktitle = "{2002 IEEE International Conference on Acoustics,
Speech, and Signal Processing}",
title = "Algorithms on the {Stiefel} manifold for joint
diagonalisation",
volume = "2",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "II-1481--II-1484",
year = "2002",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Celledoni:2003:ILG,
author = "Elena Celledoni and Brynjulf Owren",
title = "On the Implementation of {Lie} Group Methods on the
{Stiefel} Manifold",
journal = j-NUMER-ALGORITHMS,
volume = "32",
number = "2--4",
pages = "163--183",
month = apr,
year = "2003",
CODEN = "NUALEG",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
bibdate = "Mon Sep 29 08:37:11 MDT 2003",
bibsource = "http://www.kluweronline.com/issn/1017-1398;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/45/3/abstract.htm;
http://ipsapp007.kluweronline.com/content/getfile/5058/45/3/fulltext.pdf",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Krogstad:2003:LCL,
author = "Stein Krogstad",
title = "A Low Complexity {Lie} Group Method on the {Stiefel}
Manifold",
journal = j-BIT-NUM-MATH,
volume = "43",
number = "1",
pages = "107--122",
month = mar,
year = "2003",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1023/A:1023653006426",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "65L05 (37M25 43A85 65L06)",
MRnumber = "MR1981643 (2004i:65054)",
MRreviewer = "J. B. Butler, Jr.",
bibdate = "Wed Jan 4 15:06:05 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=43&issue=1;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib; OCLC
Article1st database",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=43&issue=1&spage=107",
acknowledgement = ack-nhfb,
fjournal = "BIT Numerical Mathematics",
journal-URL = "http://link.springer.com/journal/10543",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Lu:2003:BSB,
author = "Jun Lu and T. N. Davidson and Z.-Q. Luo",
title = "Blind separation of {BPSK} signals using {Newton}'s
method on the {Stiefel} manifold",
crossref = "IEEE:2003:IICa",
volume = "4",
pages = "IV-301",
year = "2003",
DOI = "https://doi.org/10.1109/ICASSP.2003.1202633",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Dai:2005:MHS,
author = "Zhi Feng Dai and Lan Ping Chen",
title = "A mixed {Hestenes--Stiefel} {Dan--Yuan} conjugate
gradient method",
journal = "Mathematica Numerica Sinica. Jisuan Shuxue",
volume = "27",
number = "4",
pages = "429--436",
year = "2005",
ISSN = "0254-7791",
MRclass = "90C52 (90C30)",
MRnumber = "2199853",
bibdate = "Tue Oct 24 12:40:19 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
ajournal = "Math. Numer. Sin.",
fjournal = "Mathematica Numerica Sinica. Jisuan Shuxue",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
}
@Article{Fiori:2005:FIL,
author = "S. Fiori",
title = "Formulation and integration of learning differential
equations on the {Stiefel} manifold",
journal = j-IEEE-TRANS-NEURAL-NETW,
volume = "16",
number = "6",
pages = "1697--1701",
month = nov,
year = "2005",
CODEN = "ITNNEP",
DOI = "https://doi.org/10.1109/TNN.2005.852860",
ISSN = "1045-9227 (print), 1941-0093 (electronic)",
ISSN-L = "1045-9227",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
ajournal = "IEEE Trans. Neural Netw.",
fjournal = "IEEE Transactions on Neural Networks",
journal-URL = "http://ieeexplore.ieee.org/servlet/opac?punumber=72",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Henkel:2005:SPB,
author = "O. Henkel",
title = "Sphere-packing bounds in the {Grassmann} and {Stiefel}
manifolds",
journal = j-IEEE-TRANS-INF-THEORY,
volume = "51",
number = "10",
pages = "3445--3456",
month = oct,
year = "2005",
CODEN = "IETTAW",
DOI = "https://doi.org/10.1109/TIT.2005.855594",
ISSN = "0018-9448 (print), 1557-9654 (electronic)",
ISSN-L = "0018-9448",
bibdate = "Thu Aug 13 18:08:01 2009",
bibsource = "DBLP;
http://dblp.uni-trier.de/db/journals/tit/tit51.html#Henkel05;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/kepler.bib",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Information Theory",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=18",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Jankovic:2005:NLG,
author = "M. V. Jankovic and B. Reljin",
booktitle = "{EUROCON 2005 --- The International Conference on
``Computer as a Tool''}",
title = "Neural Learning on {Grassman}\slash {Stiefel}
Principal\slash Minor Submanifold",
volume = "1",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "249--252",
year = "2005",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Neukom:2005:EFS,
author = "Hans Neukom",
title = "{ERMETH}: The First {Swiss} Computer",
journal = j-IEEE-ANN-HIST-COMPUT,
volume = "27",
number = "4",
pages = "5--22",
month = oct # "\slash " # dec,
year = "2005",
CODEN = "IAHCEX",
DOI = "https://doi.org/10.1109/MAHC.2005.58",
ISSN = "1058-6180 (print), 1934-1547 (electronic)",
ISSN-L = "1058-6180",
bibdate = "Mon Nov 21 08:47:51 MST 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/ieeeannhistcomput.bib",
acknowledgement = ack-nhfb,
fjournal = "IEEE Annals of the History of Computing",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=85",
subject-dates = "Heinz Rutishauser (30 January 1918--10 November
1970); Eduard Stiefel (21 April 1909--25 November
1978)",
}
@InProceedings{Tompkins:2007:BFS,
author = "F. Tompkins and P. J. Wolfe",
booktitle = "{2007 2nd IEEE International Workshop on Computational
Advances in Multi-Sensor Adaptive Processing}",
title = "Bayesian Filtering on the {Stiefel} Manifold",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "261--264",
year = "2007",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Bachoc:2008:BCP,
author = "C. Bachoc and Y. Ben-Haim and S. Litsyn",
title = "Bounds for Codes in Products of Spaces, {Grassmann},
and {Stiefel} Manifolds",
journal = j-IEEE-TRANS-INF-THEORY,
volume = "54",
number = "3",
pages = "1024--1035",
year = "2008",
CODEN = "IETTAW",
ISSN = "0018-9448 (print), 1557-9654 (electronic)",
ISSN-L = "0018-9448",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Information Theory",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=18",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Hasan:2008:JCP,
author = "M. A. Hasan",
booktitle = "{2008 47th IEEE Conference on Decision and Control}",
title = "Joint computation of principal and minor components
using gradient dynamical systems over {Stiefel}
manifolds",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "3287--3292",
year = "2008",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Krishnamachari:2008:VGBa,
author = "R. T. Krishnamachari and M. K. Varanasi",
booktitle = "{2008 42nd Annual Conference on Information Sciences
and Systems}",
title = "Volume of geodesic balls in the real {Stiefel}
manifold",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "402--406",
year = "2008",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Krishnamachari:2008:VGBb,
author = "R. T. Krishnamachari and M. K. Varanasi",
booktitle = "{2008 46th Annual Allerton Conference on
Communication, Control, and Computing}",
title = "Volume of geodesic balls in the complex {Stiefel}
manifold",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "902--909",
year = "2008",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Pham:2008:RLD,
author = "D. Pham and S. Venkatesh",
booktitle = "{2008 IEEE Conference on Computer Vision and Pattern
Recognition}",
title = "Robust learning of discriminative projection for
multicategory classification on the {Stiefel}
manifold",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "1--7",
year = "2008",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Turaga:2008:SAS,
author = "P. Turaga and A. Veeraraghavan and R. Chellappa",
booktitle = "{2008 IEEE Conference on Computer Vision and Pattern
Recognition}",
title = "Statistical analysis on {Stiefel} and {Grassmann}
manifolds with applications in computer vision",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "1--8",
year = "2008",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Uschmajew:2008:WPC,
author = "Andr{\'e} Uschmajew",
title = "Well-posedness of convex maximization problems on
{Stiefel} manifolds and orthogonal tensor product
approximations",
journal = j-NUM-MATH,
volume = "110",
number = "2",
pages = "309--331",
month = aug,
year = "2008",
CODEN = "NUMMA7",
ISSN = "????",
ISSN-L = "0029-599X",
bibdate = "Fri May 14 08:10:17 MDT 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=110&issue=2;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/nummath2000.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=110&issue=2&spage=309",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Cetingul:2009:IMS,
author = "H. E. Cetingul and R. Vidal",
booktitle = "{2009 IEEE Conference on Computer Vision and Pattern
Recognition}",
title = "Intrinsic mean shift for clustering on {Stiefel} and
{Grassmann} manifolds",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "1896--1902",
year = "2009",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Krishnamachari:2009:DRT,
author = "R. T. Krishnamachari and M. K. Varanasi",
booktitle = "{2009 IEEE International Symposium on Information
Theory}",
title = "Distortion-rate tradeoff of a source uniformly
distributed over the Composite {PF(N)} and the
composite {Stiefel} manifolds",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "522--526",
year = "2009",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Lui:2009:CSQ,
author = "Y. M. Lui and J. R. Beveridge and M. Kirby",
booktitle = "{2009 IEEE 3rd International Conference on Biometrics:
Theory, Applications, and Systems}",
title = "Canonical {Stiefel} Quotient and its application to
generic face recognition in illumination spaces",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "1--8",
year = "2009",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Zhang:2009:NVH,
author = "Li Zhang",
title = "New versions of the {Hestenes--Stiefel} nonlinear
conjugate gradient method based on the secant condition
for optimization",
journal = "Computational \& Applied Mathematics",
volume = "28",
number = "1",
pages = "111--133",
year = "2009",
DOI = "https://doi.org/10.1590/S0101-82052009000100006",
ISSN = "1807-0302",
MRclass = "90C52 (65K10 90C30)",
MRnumber = "2495829",
MRreviewer = "Warren L. Hare",
bibdate = "Tue Oct 24 12:40:19 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
ajournal = "Comput. Appl. Math.",
fjournal = "Computational \& Applied Mathematics",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
}
@Book{Priestley:2010:SOM,
author = "Mark Priestley",
title = "A Science of Operations: Machines, Logic and the
Invention of Programming",
publisher = pub-SV,
address = pub-SV:adr,
pages = "ix + 341",
year = "2010",
DOI = "https://doi.org/10.1007/978-1-84882-555-0",
ISBN = "1-84882-554-4 (hardcover), 1-84882-555-2 (e-book)",
ISBN-13 = "978-1-84882-554-3 (hardcover), 978-1-84882-555-0
(e-book)",
LCCN = "QA76.6 .P737 2010",
bibdate = "Sat Mar 24 12:15:16 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/bauer-friedrich-ludwig.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/hoare-c-a-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/l/lovelace-ada-augusta.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/turing-alan-mathison.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wirth-niklaus.bib;
https://www.math.utah.edu/pub/tex/bib/bjhs2010.bib;
https://www.math.utah.edu/pub/tex/bib/fortran3.bib;
z3950.loc.gov:7090/Voyager",
series = "History of computing",
acknowledgement = ack-nhfb,
shorttableofcontents = "1. Introduction \\
2. Babbage's Engines \\
3. Semi-Automatic Computing \\
4. Logic, Computability and Formal Systems \\
5. Automating Control \\
6. Logic and the Invention of the Computer \\
7. Machine Code Programming and Logic \\
8. The Invention of Programming Languages \\
9. The Algol Research Programme \\
10. The Logic of Correctness in Software Engineering
\\
11. The Unification of Data and Algorithms \\
12. Conclusions",
subject = "Computer programming; History; Programming languages
(Electronic computers); Microcomputers; Logic, Symbolic
and mathematical",
tableofcontents = "1 Introduction / 1 \\
1.1 Minds, Method and Machines / 3 \\
1.2 Language and Science / 4 \\
1.3 The Age of Machinery / 7 \\
1.4 The Mechanization of Mathematical Language / 8 \\
2 Babbage's Engines / 17 \\
2.1 The Division of Mental Labour / 18 \\
2.2 The Difference Engine / 21 \\
2.3 The Meanings of the Difference Engine / 25 \\
2.4 The Mechanical Notation / 28 \\
2.5 The Analytical Engine / 31 \\
2.6 The Science of Operations / 41 \\
2.7 The Meanings of the Analytical Engine / 44 \\
2.8 Conclusions / 48 \\
3 Semi-Automatic Computing / 53 \\
3.1 The Census Problem / 53 \\
3.2 The Hollerith Tabulating System of 1890 / 55 \\
3.3 Further Developments in Punched Card Machines / 57
\\
3.4 Comrie and the Mechanization of Scientific
Calculation / 60 \\
3.5 Semi-Automatic Programming / 65 \\
4 Logic, Computability and Formal Systems / 67 \\
4.1 G{\"o}del's Construction / 69 \\
4.2 Recursive Functions / 72 \\
4.3 $\lambda$-definability / 74 \\
4.4 Direct Approaches to Defining Effective
Computability / 75 \\
4.5 Turing's Machine Table Notation / 77 \\
4.6 Universal Machines / 89 \\
4.7 The Concept of a Formal Language / 92 \\
4.8 The Relationship Between Turing's Work and Logic /
96 \\
5 Automating Control / 99 \\
5.1 Konrad Zuse's Early Machines / 100 \\
5.2 Mark I: The Automatic Sequence Controlled
Calculator / 102 \\
5.3 The ENIAC / 107 \\
5.4 The Bell Labs Relay Machines / 115 \\
5.5 The Significance of the Automatic Calculators / 118
\\
6 Logic and the Invention of the Computer / 123 \\
6.1 The Origins of the Stored-Program Computer / 126
\\
6.2 The Early Development of Cybernetics / 130 \\
6.3 Von Neumann's Design for the EDVAC / 133 \\
6.4 Logic and the Stored-Program Concept / 136 \\
6.5 The EDVAC Code and Address Modification / 139 \\
6.6 Turing and the ACE / 142 \\
6.7 Giant Brains / 145 \\
6.8 Universal Machines / 147 \\
6.9 General-Purpose Machines / 153 \\
6.10 Conclusions / 154 \\
7 Machine Code Programming and Logic / 157 \\
7.1 Sequencing of Operations / 158 \\
7.2 Transfer of Control / 162 \\
7.3 Condition Testing / 164 \\
7.4 Instruction Modification / 167 \\
7.5 Subroutines / 170 \\
7.6 Machine Code and Program Structures / 172 \\
7.7 Machine Code and Logic / 174 \\
7.8 Syntax / 176 \\
7.9 Flow Diagrams and Program Semantics / 179 \\
7.10 Programs as Metalinguistic Expressions / 182 \\
7.11 Conclusions / 183 \\
8 The Invention of Programming Languages / 185 \\
8.1 Automatic Coding / 186 \\
8.2 The Semantics of Pseudocodes / 188 \\
8.3 Formula Translation / 193 \\
8.4 Fortran and Increasing Linguistic Complexity / 197
\\
8.5 Universal Languages / 204 \\
8.6 Algol 60 as a Formal Language / 209 \\
8.7 The Influence of Logic on Algol / 217 \\
8.8 Lisp and Recursive Function Theory / 220 \\
8.9 Conclusions / 224 \\
9 The Algol Research Programme / 225 \\
9.1 Algol 60 as a Concrete Paradigm / 226 \\
9.2 Normal Science in the Algol Research Programme /
229 \\
9.3 The Description of Programming Languages / 230 \\
9.4 Different Philosophies of Programming Language
Design / 237 \\
9.5 Logic and the Design of Control Structures / 239
\\
9.6 Logic and Data Structures / 244 \\
9.7 Modelling Data for Information Retrieval / 247 \\
9.8 Conclusions / 252 \\
10 The Logic of Correctness in Software Engineering /
253 \\
10.1 Checking Computations / 253 \\
10.2 Debugging and Testing / 255 \\
10.3 Correctness Proofs / 257 \\
10.4 Constructive Methods / 261 \\
10.5 Specifications and Correctness / 263 \\
10.6 Structured Programming / 265 \\
10.7 Proof and Testing / 269 \\
10.8 Conclusions / 275 \\
11 The Unification of Data and Algorithms / 277 \\
11.1 Simulation Languages / 278 \\
11.2 Modelling the Real World / 281 \\
11.3 Simula 67 / 282 \\
11.4 Data Abstraction / 283 \\
11.5 Smalltalk / 288 \\
11.6 The Relationship Between Smalltalk and Logic / 293
\\
11.7 Conclusions / 296 \\
12 Conclusions / 297 \\
12.1 Paradigms and Revolutions / 298 \\
12.2 Relating Theory and Practice / 301 \\
12.3 Methodological Conclusions / 303 \\
Appendix Turing's Universal Machine / 307 \\
A.1 General Purpose $m$-functions / 307 \\
A.2 The Contents of the Tape / 310 \\
A.3 The Main Table / 312 \\
References / 317 \\
Index / 335",
}
@Article{Wei:2010:MHS,
author = "Zeng Xin Wei and Hai Dong Huang and Yan Rong Tao",
title = "A modified {Hestenes--Stiefel} conjugate gradient
method and its convergence",
journal = "Journal of Mathematical Research and Exposition",
volume = "30",
number = "2",
pages = "297--308",
year = "2010",
ISSN = "1000-341X",
MRclass = "90C52 (90C30)",
MRnumber = "2656619",
MRreviewer = "Lyudmila N. Polyakova",
bibdate = "Tue Oct 24 12:40:19 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
ajournal = "J. Math. Res. Exposition",
fjournal = "Journal of Mathematical Research and Exposition",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
}
@InProceedings{Cai:2011:CBE,
author = "S. Cai and Y. Gong",
booktitle = "{2011 8th International Conference on Information,
Communications Signal Processing}",
title = "Cognitive beamforming exploiting {Stiefel} manifold
for sum-transmit power minimization",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "1--5",
year = "2011",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Turaga:2011:SCG,
author = "P. Turaga and A. Veeraraghavan and A. Srivastava and
R. Chellappa",
title = "Statistical Computations on {Grassmann} and {Stiefel}
Manifolds for Image and Video-Based Recognition",
journal = "IEEE Transactions on Pattern Analysis and Machine
Intelligence",
volume = "33",
number = "11",
pages = "2273--2286",
year = "2011",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Ulfarsson:2011:SVR,
author = "M. O. Ulfarsson and V. Solo",
booktitle = "{2011 IEEE International Conference on Acoustics,
Speech and Signal Processing (ICASSP)}",
title = "Sparse variable reduced rank regression via {Stiefel}
optimization",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "3892--3895",
year = "2011",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Dai:2012:GCM,
author = "Zhifeng Dai and Fenghua Wen",
title = "Global convergence of a modified {Hestenes--Stiefel}
nonlinear conjugate gradient method with {Armijo} line
search",
journal = j-NUMER-ALGORITHMS,
volume = "59",
number = "1",
pages = "79--93",
month = jan,
year = "2012",
CODEN = "NUALEG",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
bibdate = "Wed Nov 30 06:22:19 MST 2011",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=59&issue=1;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=1017-1398&volume=59&issue=1&spage=79",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Fiori:2012:LCS,
author = "S. Fiori and T. Kaneko and T. Tanaka",
booktitle = "{The 2012 International Joint Conference on Neural
Networks (IJCNN)}",
title = "Learning on the compact {Stiefel} manifold by a
{Cayley}-transform-based pseudo-retraction map",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "1--8",
year = "2012",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Francisco:2012:NAM,
author = "Juliano B. Francisco and Ferm{\'\i}n S. Viloche
Baz{\'a}n",
title = "Nonmonotone algorithm for minimization on closed sets
with applications to minimization on {Stiefel}
manifolds",
journal = j-J-COMPUT-APPL-MATH,
volume = "236",
number = "10",
pages = "2717--2727",
month = apr,
year = "2012",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Sat Feb 25 13:24:33 MST 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0377042712000258",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Kanamori:2012:NCO,
author = "Takafumi Kanamori and Akiko Takeda",
title = "Non-convex Optimization on {Stiefel} Manifold and
Applications to Machine Learning",
chapter = "14",
journal = j-LECT-NOTES-COMP-SCI,
volume = "7663",
pages = "109--116",
year = "2012",
CODEN = "LNCSD9",
DOI = "https://doi.org/10.1007/978-3-642-34475-6_14",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
ISSN-L = "0302-9743",
bibdate = "Wed Dec 19 15:18:26 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/lncs2012l.bib",
URL = "http://link.springer.com/article/10.1007/978-3-642-34475-6;
http://link.springer.com/article/10.1007/978-3-642-34475-6_14;
http://link.springer.com/chapter/10.1007/978-3-642-34475-6_14/",
acknowledgement = ack-nhfb,
book-DOI = "https://doi.org/10.1007/978-3-642-34475-6",
book-URL = "http://www.springerlink.com/content/978-3-642-34475-6",
fjournal = "Lecture Notes in Computer Science",
journal-URL = "http://link.springer.com/bookseries/558",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Kaneko:2012:MCA,
author = "T. Kaneko and T. Tanaka and S. Fiori",
booktitle = "{2012 IEEE International Conference on Acoustics,
Speech and Signal Processing (ICASSP)}",
title = "A method to compute averages over the compact
{Stiefel} manifold",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "3829--3832",
year = "2012",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Pitaval:2012:ISG,
author = "R. Pitaval and O. Tirkkonen",
booktitle = "{2012 IEEE 75th Vehicular Technology Conference (VTC
Spring)}",
title = "Incorporating {Stiefel} Geometry in Codebook Design
and Selection for Improved Base Station Cooperation",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "1--5",
year = "2012",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Pitaval:2012:VBH,
author = "R. Pitaval and O. Tirkkonen",
booktitle = "{2012 Conference Record of the Forty Sixth Asilomar
Conference on Signals, Systems and Computers
(ASILOMAR)}",
title = "Volume of ball and {Hamming}-type bounds for {Stiefel}
manifold with {Euclidean} distance",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "483--487",
year = "2012",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Zhang:2012:NCP,
author = "Li Zhang and Youhua Zhou",
title = "A note on the convergence properties of the original
three-term {Hestenes--Stiefel} method",
journal = "Advanced Modeling and Optimization",
volume = "14",
number = "1",
pages = "159--163",
year = "2012",
ISSN = "1841-4311",
MRclass = "90C52 (65K10 90C30)",
MRnumber = "2897440",
MRreviewer = "Jonas Koko",
bibdate = "Tue Oct 24 12:40:19 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
ajournal = "Adv. Model. Optim.",
fjournal = "Advanced Modeling and Optimization. The Electronic
International Journal",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
}
@Article{First:2013:SWI,
author = "Uriya A. First and Uzi Vishne",
title = "{Stiefel--Whitney} invariants for bilinear forms",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "439",
number = "7",
pages = "1905--1917",
day = "1",
month = oct,
year = "2013",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Mon Aug 26 14:35:46 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/linala2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0024379513003662",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Kaneko:2013:EAA,
author = "T. Kaneko and S. Fiori and T. Tanaka",
title = "Empirical Arithmetic Averaging Over the Compact
{Stiefel} Manifold",
journal = j-IEEE-TRANS-SIG-PROC,
volume = "61",
number = "4",
pages = "883--894",
year = "2013",
CODEN = "ITPRED",
ISSN = "1053-587X (print), 1941-0476 (electronic)",
ISSN-L = "1053-587X",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Signal Processing",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Kume:2013:SAN,
author = "A. Kume and S. P. Preston and Andrew T. A. Wood",
title = "Saddlepoint approximations for the normalizing
constant of {Fisher--Bingham} distributions on products
of spheres and {Stiefel} manifolds",
journal = j-BIOMETRIKA,
volume = "100",
number = "4",
pages = "971--984",
month = dec,
year = "2013",
CODEN = "BIOKAX",
DOI = "https://doi.org/10.1093/biomet/ast021",
ISSN = "0006-3444 (print), 1464-3510 (electronic)",
ISSN-L = "0006-3444",
MRclass = "62E17 (62H11)",
MRnumber = "3142344",
bibdate = "Tue Jun 24 08:25:45 MDT 2014",
bibsource = "http://biomet.oxfordjournals.org/content/100/4.toc;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/biometrika2010.bib",
URL = "http://biomet.oxfordjournals.org/content/100/4/971",
acknowledgement = ack-nhfb,
fjournal = "Biometrika",
journal-URL = "http://biomet.oxfordjournals.org/content/by/year;
http://www.jstor.org/journals/00063444.html",
onlinedate = "August 6, 2013",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Pitaval:2013:FOC,
author = "R. Pitaval and O. Tirkkonen",
booktitle = "{2013 IEEE Information Theory Workshop (ITW)}",
title = "Flag orbit codes and their expansion to {Stiefel}
codes",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "1--5",
year = "2013",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Yuan:2013:MHS,
author = "Gonglin Yuan and Maojun Zhang",
title = "A modified {Hestenes--Stiefel} conjugate gradient
algorithm for large-scale optimization",
journal = j-NUMER-FUNCT-ANAL-OPTIM,
volume = "34",
number = "8",
pages = "914--937",
year = "2013",
CODEN = "NFAODL",
DOI = "https://doi.org/10.1080/01630563.2013.777350",
ISSN = "0163-0563 (print), 1532-2467 (electronic)",
ISSN-L = "0163-0563",
MRclass = "90C30 (90C06 90C52)",
MRnumber = "3175602",
MRreviewer = "Giovanni Fasano",
bibdate = "Tue Oct 24 12:40:19 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerical Functional Analysis and Optimization. An
International Journal",
journal-URL = "http://www.tandfonline.com/loi/lnfa20",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
}
@Article{Zhou:2013:SCM,
author = "Weijun Zhou and Youhua Zhou",
title = "On the strong convergence of a modified
{Hestenes--Stiefel} method for nonconvex optimization",
journal = "Journal of Industrial and Management Optimization",
volume = "9",
number = "4",
pages = "893--899",
year = "2013",
DOI = "https://doi.org/10.3934/jimo.2013.9.893",
ISSN = "1547-5816 (print), 1553-166X (electronic)",
ISSN-L = "1547-5816",
MRclass = "90C26 (90C52)",
MRnumber = "3119092",
MRreviewer = "Magdalena Nockowska-Rosiak",
bibdate = "Tue Oct 24 12:40:19 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
ajournal = "J. Ind. Manag. Optim.",
fjournal = "Journal of Industrial and Management Optimization",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
}
@Article{Autenried:2014:SRG,
author = "Christian Autenried and Irina Markina",
title = "Sub-{Riemannian} Geometry of {Stiefel} Manifolds",
journal = j-SIAM-J-CONTROL-OPTIM,
volume = "52",
number = "2",
pages = "939--959",
month = "????",
year = "2014",
CODEN = "SJCODC",
DOI = "https://doi.org/10.1137/130922537",
ISSN = "0363-0129 (print), 1095-7138 (electronic)",
ISSN-L = "0363-0129",
bibdate = "Sun Mar 30 13:27:19 MDT 2014",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toclist/SICON/52/2;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/siamjcontroloptim.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Control and Optimization",
journal-URL = "http://epubs.siam.org/sicon",
onlinedate = "January 2014",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Boulanger:2014:MCE,
author = "J. Boulanger and N. {Le Bihan} and S. Said and J. H.
Manton",
booktitle = "{2014 IEEE International Conference on Acoustics,
Speech and Signal Processing (ICASSP)}",
title = "{Monte-Carlo} estimation from observation on {Stiefel}
manifold",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "4195--4199",
year = "2014",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Browne:2014:OSM,
author = "Ryan P. Browne and Paul D. McNicholas",
title = "Orthogonal {Stiefel} manifold optimization for
eigen-decomposed covariance parameter estimation in
mixture models",
journal = j-STAT-COMPUT,
volume = "24",
number = "2",
pages = "203--210",
month = mar,
year = "2014",
CODEN = "STACE3",
DOI = "https://doi.org/10.1007/s11222-012-9364-2",
ISSN = "0960-3174 (print), 1573-1375 (electronic)",
ISSN-L = "0960-3174",
bibdate = "Sat Jan 31 12:22:09 MST 2015",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/statcomput.bib",
URL = "http://link.springer.com/article/10.1007/s11222-012-9364-2",
acknowledgement = ack-nhfb,
fjournal = "Statistics and Computing",
journal-URL = "http://link.springer.com/journal/11222",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Fiori:2014:MML,
author = "S. Fiori and T. Kaneko and T. Tanaka",
booktitle = "{2014 IEEE International Conference on Acoustics,
Speech and Signal Processing (ICASSP)}",
title = "Mixed maps for learning a {Kolmogoroff--Nagumo}-type
average element on the compact {Stiefel} manifold",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "4518--4522",
year = "2014",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Hussien:2014:MRB,
author = "M. T. Hussien and K. G. Seddik and R. H. Gohary and M.
Shaqfeh and H. Alnuweiri and H. Yanikomeroglu",
booktitle = "{2014 IEEE International Symposium on Information
Theory}",
title = "Multi-resolution broadcasting over the {Grassmann} and
{Stiefel} manifolds",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "1907--1911",
year = "2014",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Pitaval:2014:JGS,
author = "R. Pitaval and O. Tirkkonen",
title = "Joint {Grassmann--Stiefel} Quantization for {MIMO}
Product Codebooks",
journal = j-IEEE-TRANS-WIREL-COMMUN,
volume = "13",
number = "1",
pages = "210--222",
year = "2014",
CODEN = "ITWCAX",
ISSN = "1536-1276 (print), 1558-2248 (electronic)",
ISSN-L = "1536-1276",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Wireless Communications",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=7693",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Shapiee:2014:NMH,
author = "Norrlaili Shapiee and Mohd Rivaie and Mustafa Mamat
and Ismail Mohd",
booktitle = "{AIP} Conference Proceedings",
title = "A new modification of {Hestenes--Stiefel} method with
descent properties",
volume = "1602",
publisher = pub-AIP,
address = pub-AIP:adr,
pages = "520--526",
year = "2014",
DOI = "https://doi.org/10.1063/1.4882535",
bibdate = "Tue Oct 24 17:11:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
}
@Article{Babaie-Kafaki:2015:HHS,
author = "Saman Babaie-Kafaki and Reza Ghanbari",
title = "A hybridization of the {Hestenes--Stiefel} and
{Dai--Yuan} conjugate gradient methods based on a
least-squares approach",
journal = j-OPTIM-METHODS-SOFTW,
volume = "30",
number = "4",
pages = "673--681",
year = "2015",
DOI = "https://doi.org/10.1080/10556788.2014.966825",
ISSN = "1026-7670 (print), 1055-6788 (electronic)",
ISSN-L = "1026-7670",
MRclass = "90C53 (65K05)",
MRnumber = "3375668",
MRreviewer = "Ch'{\^e}ng Sh{\^e}ng Chien",
bibdate = "Tue Oct 24 12:40:19 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
fjournal = "Optimization Methods \& Software",
journal-URL = "http://www.tandfonline.com/loi/goms20",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
}
@Article{Cardoso:2015:SSP,
author = "Jo{\~a}o R. Cardoso and Krystyna Zi{\k{e}}tak",
title = "On a sub-{Stiefel Procrustes} problem arising in
computer vision",
journal = j-NUM-LIN-ALG-APPL,
volume = "22",
number = "3",
pages = "523--547",
month = may,
year = "2015",
CODEN = "NLAAEM",
DOI = "https://doi.org/10.1002/nla.1969",
ISSN = "1070-5325 (print), 1099-1506 (electronic)",
ISSN-L = "1070-5325",
bibdate = "Thu May 28 15:10:08 MDT 2015",
bibsource = "http://www.interscience.wiley.com/jpages/1070-5325;
http://www3.interscience.wiley.com/journalfinder.html;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/numlinaa.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerical Linear Algebra with Applications",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506",
onlinedate = "26 Feb 2015",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Dodig:2015:MQF,
author = "Marija Dodig and Marko Stosi{\'c} and Jo{\~a}o
Xavier",
title = "On minimizing a quadratic function on {Stiefel}
manifold",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "475",
number = "??",
pages = "251--264",
day = "15",
month = jun,
year = "2015",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Thu Apr 2 06:49:42 MDT 2015",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/linala2015.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0024379515001354",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Dong:2015:MHS,
author = "Xiao Liang Dong and Hong Wei Liu and Yu Bo He and Xi
Mei Yang",
title = "A modified {Hestenes--Stiefel} conjugate gradient
method with sufficient descent condition and conjugacy
condition",
journal = j-J-COMPUT-APPL-MATH,
volume = "281",
number = "??",
pages = "239--249",
month = jun,
year = "2015",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Sat Feb 25 13:34:49 MST 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2015.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0377042714005378",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Hussien:2015:STB,
author = "M. T. Hussien and K. G. Seddik and R. H. Gohary and M.
Shaqfeh and H. Alnuweiri and H. Yanikomeroglu",
booktitle = "{2015 IEEE Global Communications Conference
(GLOBECOM)}",
title = "Space-Time Block Codes over the {Stiefel} Manifold",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "1--7",
year = "2015",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Liu:2015:MMT,
author = "Xin-Guo Liu and Xue-Feng Wang and Wei-Guo Wang",
title = "Maximization of Matrix Trace Function of Product
{Stiefel} Manifolds",
journal = j-SIAM-J-MAT-ANA-APPL,
volume = "36",
number = "4",
pages = "1489--1506",
month = "????",
year = "2015",
CODEN = "SJMAEL",
DOI = "https://doi.org/10.1137/15M100883X",
ISSN = "0895-4798 (print), 1095-7162 (electronic)",
ISSN-L = "0895-4798",
bibdate = "Tue Feb 9 08:35:01 MST 2016",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/36/4;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Matrix Analysis and Applications",
journal-URL = "http://epubs.siam.org/simax",
onlinedate = "January 2015",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Palka:2015:AEE,
author = "T. A. Palka and R. J. Vaccaro",
booktitle = "{2015 49th Asilomar Conference on Signals, Systems and
Computers}",
title = "Asymptotically efficient estimators for
multidimensional harmonic retrieval based on the
geometry of the {Stiefel} manifold",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "1691--1695",
year = "2015",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Schwarz:2015:PQS,
author = "S. Schwarz and M. Rupp",
title = "Predictive Quantization on the {Stiefel} Manifold",
journal = j-IEEE-SIGNAL-PROCESS-LETT,
volume = "22",
number = "2",
pages = "234--238",
year = "2015",
CODEN = "ISPLEM",
ISSN = "1070-9908 (print), 1558-2361 (electronic)",
ISSN-L = "1070-9908",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
fjournal = "IEEE Signal Processing Letters",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=97",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Sun:2015:MHS,
author = "Min Sun and Jing Liu",
title = "A modified {Hestenes--Stiefel} projection method for
constrained nonlinear equations and its linear
convergence rate",
journal = "Journal of Applied Mathematics and Computing",
volume = "49",
number = "1-2",
pages = "145--156",
year = "2015",
DOI = "https://doi.org/10.1007/s12190-014-0829-7",
ISSN = "1598-5865 (print), 1865-2085 (electronic)",
ISSN-L = "1598-5865",
MRclass = "65K10 (90C52)",
MRnumber = "3393771",
MRreviewer = "Lkhamsuren Altangerel",
bibdate = "Tue Oct 24 12:40:19 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
ajournal = "J. Appl. Math. Comput.",
fjournal = "Journal of Applied Mathematics and Computing",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
}
@Article{Yin:2015:NLR,
author = "M. Yin and J. Gao and Y. Guo",
title = "Nonlinear low-rank representation on {Stiefel}
manifolds",
journal = j-ELECT-LETTERS,
volume = "51",
number = "10",
pages = "749--751",
year = "2015",
CODEN = "ELLEAK",
ISSN = "0013-5194 (print), 1350-911X (electronic)",
ISSN-L = "0013-5194",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
fjournal = "Electronics Letters",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=2220",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Ali:2016:CSG,
author = "M. Ali and J. Gao and M. Antolovich",
booktitle = "{2016 International Joint Conference on Neural
Networks (IJCNN)}",
title = "Classification on {Stiefel} and {Grassmann} manifolds
via maximum Likelihood estimation of matrix
distributions",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "3751--3757",
year = "2016",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Ali:2016:DES,
author = "M. Ali and M. Antolovich and B. Wang",
booktitle = "{2016 9th International Congress on Image and Signal
Processing, BioMedical Engineering and Informatics
(CISP-BMEI)}",
title = "Density estimation on {Stiefel} manifolds using
matrix-{Fisher} model",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "66--71",
year = "2016",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Balajewicz:2016:MSR,
author = "Maciej Balajewicz and Irina Tezaur and Earl Dowell",
title = "Minimal subspace rotation on the {Stiefel} manifold
for stabilization and enhancement of projection-based
reduced order models for the compressible
{Navier--Stokes} equations",
journal = j-J-COMPUT-PHYS,
volume = "321",
number = "??",
pages = "224--241",
day = "15",
month = sep,
year = "2016",
CODEN = "JCTPAH",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Thu Aug 11 16:27:30 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputphys2015.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0021999116301826",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00219991/",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Koochakzadeh:2016:NMF,
author = "A. Koochakzadeh and S. Miran and P. Samangouei and M.
C. Rotkowitz",
booktitle = "{2016 54th Annual Allerton Conference on
Communication, Control, and Computing (Allerton)}",
title = "Nonnegative Matrix Factorization by optimization on
the {Stiefel} manifold with {SVD} initialization",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "1068--1073",
year = "2016",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Marjanovic:2016:NMS,
author = "G. Marjanovic and M. J. Piggott and V. Solo",
booktitle = "{2016 IEEE 55th Conference on Decision and Control
(CDC)}",
title = "Numerical methods for stochastic differential
equations in the {Stiefel} manifold made simple",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "2853--2860",
year = "2016",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Salleh:2016:EMH,
author = "Zabidin Salleh and Ahmad Alhawarat",
title = "An efficient modification of the {Hestenes--Stiefel}
nonlinear conjugate gradient method with restart
property",
journal = j-J-INEQUAL-APPL,
pages = "Paper No. 110, 14",
year = "2016",
DOI = "https://doi.org/10.1186/s13660-016-1049-5",
ISSN = "1029-242X",
MRclass = "90C53 (65K10 90C30)",
MRnumber = "3482774",
MRreviewer = "Ya Xiang Yuan",
bibdate = "Tue Oct 24 12:40:19 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Inequalities and Applications",
journal-URL = "http://journalofinequalitiesandapplications.springeropen.com/",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
}
@Article{Yuan:2016:MHS,
author = "Gonglin Yuan and Zehong Meng and Yong Li",
title = "A modified {Hestenes} and {Stiefel} conjugate gradient
algorithm for large-scale nonsmooth minimizations and
nonlinear equations",
journal = j-J-OPT-THEORY-APPL,
volume = "168",
number = "1",
pages = "129--152",
year = "2016",
CODEN = "JOTABN",
DOI = "https://doi.org/10.1007/s10957-015-0781-1",
ISSN = "0022-3239 (print), 1573-2878 (electronic)",
ISSN-L = "0022-3239",
MRclass = "65K05 (90C25 90C53)",
MRnumber = "3448521",
MRreviewer = "Etienne de Klerk",
bibdate = "Tue Oct 24 12:40:19 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Optimization Theory and Applications",
journal-URL = "http://link.springer.com/journal/volumesAndIssues/10957",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
}
@InProceedings{Zhang:2016:EON,
author = "Wei Emma Zhang and Mingkui Tan and Quan Z. Sheng and
Lina Yao and Qingfeng Shi",
booktitle = "Proceedings of the {25th ACM International on
Conference on Information and Knowledge Management}",
title = "Efficient Orthogonal Non-negative Matrix Factorization
over {Stiefel} Manifold",
publisher = pub-ACM,
address = pub-ACM:adr,
month = oct,
year = "2016",
DOI = "https://doi.org/10.1145/2983323.2983761",
bibdate = "Thu Sep 3 11:14:10 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Babaie-Kafaki:2017:EHS,
author = "S. Babaie-Kafaki and R. Ghanbari",
title = "Extensions of the {Hestenes--Stiefel} and
{Polak--Ribi}{\`e}re-{P}olyak conjugate gradient
methods with sufficient descent property",
journal = "Bulletin of the Iranian Mathematical Society",
volume = "43",
number = "7",
pages = "2437--2448",
year = "2017",
ISSN = "1017-060X",
ISSN-L = "1017-060X",
MRclass = "90C53 (65K10)",
MRnumber = "3885678",
MRreviewer = "Sne\v{z}ana Djordjevi\'{c}",
bibdate = "Tue Oct 24 12:40:19 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
ajournal = "Bull. Iranian Math. Soc.",
fjournal = "Bulletin of the Iranian Mathematical Society",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
}
@Article{Basu:2017:TCQ,
author = "Samik Basu and B. Subhash",
title = "Topology of Certain Quotient Spaces of {Stiefel}
Manifolds",
journal = j-CAN-MATH-BULL,
volume = "60",
number = "2",
pages = "235--??",
month = jun,
year = "2017",
CODEN = "CMBUA3",
DOI = "https://doi.org/10.4153/CMB-2016-098-8",
ISSN = "0008-4395 (print), 1496-4287 (electronic)",
ISSN-L = "0008-4395",
bibdate = "Mon Oct 2 13:41:09 MDT 2017",
bibsource = "http://cms.math.ca/cmb/v60/n2;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/canmathbull.bib",
abstract = "We compute the cohomology of the right generalised
projective Stiefel manifolds. Following this, we
discuss some easy applications of the computations to
the ranks of complementary bundles, and bounds on the
span and immersibility.",
acknowledgement = ack-nhfb,
fjournal = "Canadian mathematical bulletin = Bulletin canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cmb/",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Batista:2017:EQG,
author = "J. Batista and K. Krakowski and F. S. Leite",
booktitle = "{2017 IEEE 56th Annual Conference on Decision and
Control (CDC)}",
title = "Exploring quasi-geodesics on {Stiefel} manifolds in
order to smooth interpolate between domains",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "6395--6402",
year = "2017",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Breiter:2017:KST,
author = "Slawomir Breiter and Krzysztof Langner",
title = "{Kustaanheimo--Stiefel} transformation with an
arbitrary defining vector",
journal = j-CELEST-MECH-DYN-ASTR,
volume = "128",
number = "2--3",
pages = "323--342",
month = feb,
year = "2017",
CODEN = "CLMCAV",
DOI = "https://doi.org/10.1007/s10569-017-9754-z",
ISSN = "0923-2958 (print), 1572-9478 (electronic)",
ISSN-L = "0923-2958",
bibdate = "Wed Sep 2 21:29:57 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "http://link.springer.com/article/10.1007/s10569-017-9754-z",
acknowledgement = ack-nhfb,
fjournal = "Celestial Mechanics and Dynamical Astronomy",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Bruderer:2017:EHC,
author = "Herbert Bruderer",
title = "Early History of Computing in {Switzerland}: Discovery
of Rare Devices, Unknown Documents, and Scarcely Known
Facts",
journal = j-IEEE-ANN-HIST-COMPUT,
volume = "39",
number = "1",
pages = "65--72",
month = jan # "\slash " # mar,
year = "2017",
CODEN = "IAHCEX",
DOI = "https://doi.org/10.1109/MAHC.2017.10",
ISSN = "1058-6180 (print), 1934-1547 (electronic)",
ISSN-L = "1058-6180",
bibdate = "Thu Jun 8 08:08:26 MDT 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/ieeeannhistcomput.bib",
URL = "https://www.computer.org/csdl/mags/an/2017/01/man2017010065-abs.html",
acknowledgement = ack-nhfb,
ajournal = "IEEE Ann. Hist. Comput.",
fjournal = "IEEE Annals of the History of Computing",
journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=85",
}
@Article{Bryner:2017:EGS,
author = "Darshan Bryner",
title = "Endpoint Geodesics on the {Stiefel} Manifold Embedded
in {Euclidean} Space",
journal = j-SIAM-J-MAT-ANA-APPL,
volume = "38",
number = "4",
pages = "1139--1159",
month = "????",
year = "2017",
CODEN = "SJMAEL",
DOI = "https://doi.org/10.1137/16M1103099",
ISSN = "0895-4798 (print), 1095-7162 (electronic)",
ISSN-L = "0895-4798",
bibdate = "Fri Jan 12 06:45:20 MST 2018",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/38/4;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Matrix Analysis and Applications",
journal-URL = "http://epubs.siam.org/simax",
onlinedate = "January 2017",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Dong:2017:MNH,
author = "Xiao-Liang Dong and Hong-Wei Liu and Xiang-Li Li and
Yu-Bo He and Ze-Xian Liu",
title = "A modified nonmonotone {Hestenes--Stiefel} type
conjugate gradient methods for large-scale
unconstrained problems",
journal = j-NUMER-FUNCT-ANAL-OPTIM,
volume = "38",
number = "1",
pages = "39--50",
year = "2017",
CODEN = "NFAODL",
DOI = "https://doi.org/10.1080/01630563.2016.1232730",
ISSN = "0163-0563 (print), 1532-2467 (electronic)",
ISSN-L = "0163-0563",
MRclass = "90C52 (90C06 90C26 90C53)",
MRnumber = "3590820",
MRreviewer = "Mehiddin Al-Baali",
bibdate = "Tue Oct 24 12:40:19 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerical Functional Analysis and Optimization. An
International Journal",
journal-URL = "http://www.tandfonline.com/loi/lnfa20",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
}
@Article{Dong:2017:SNT,
author = "Xiao-Liang Dong and De-Ren Han and Reza Ghanbari and
Xiang-Li Li and Zhi-Feng Dai",
title = "Some new three-term {Hestenes--Stiefel} conjugate
gradient methods with affine combination",
journal = j-OPTIMIZATION,
volume = "66",
number = "5",
pages = "759--776",
year = "2017",
CODEN = "OPTZDQ",
DOI = "https://doi.org/10.1080/02331934.2017.1295242",
ISSN = "0233-1934, 0323-3898",
ISSN-L = "0233-1934",
MRclass = "90C52 (65K10)",
MRnumber = "3628550",
MRreviewer = "Zhongwen Chen",
bibdate = "Tue Oct 24 12:40:19 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
fjournal = "Optimization. A Journal of Mathematical Programming
and Operations Research",
journal-URL = "http://www.tandfonline.com/loi/gopt20",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
}
@Article{Iwashita:2017:TPU,
author = "Toshiya Iwashita and Bernhard Klar and Moe Amagai and
Hiroki Hashiguchi",
title = "A test procedure for uniformity on the {Stiefel}
manifold based on projection",
journal = j-STAT-PROB-LETT,
volume = "128",
number = "??",
pages = "89--96",
month = sep,
year = "2017",
CODEN = "SPLTDC",
ISSN = "0167-7152 (print), 1879-2103 (electronic)",
ISSN-L = "0167-7152",
bibdate = "Thu Jun 8 14:57:52 MDT 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/statproblett2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0167715217301669",
acknowledgement = ack-nhfb,
fjournal = "Statistics \& Probability Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/01677152",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Krakowski:2017:MCA,
author = "Krzysztof A. Krakowski and Lu{\'\i}s Machado and
F{\'a}tima Silva Leite and Jorge Batista",
title = "A modified {Casteljau} algorithm to solve
interpolation problems on {Stiefel} manifolds",
journal = j-J-COMPUT-APPL-MATH,
volume = "311",
number = "??",
pages = "84--99",
month = feb,
year = "2017",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Sat Feb 25 13:36:48 MST 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2015.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0377042716303375",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Li:2017:DLA,
author = "Y. Li and S. Ding and Z. Li and X. Li and B. Tan",
booktitle = "{2017 IEEE Global Conference on Signal and Information
Processing (GlobalSIP)}",
title = "Dictionary learning in the analysis sparse
representation with optimization on {Stiefel}
manifold",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "1270--1274",
year = "2017",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Marjanovic:2017:EGP,
author = "G. Marjanovic and V. Solo",
booktitle = "{2017 IEEE International Conference on Acoustics,
Speech and Signal Processing (ICASSP)}",
title = "An Engineer's Guide to Particle Filtering on the
{Stiefel} Manifold",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "3834--3838",
year = "2017",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Seddik:2017:MRM,
author = "K. G. Seddik and R. H. Gohary and M. T. Hussien and M.
Shaqfeh and H. Alnuweiri and H. Yanikomeroglu",
title = "Multi-Resolution Multicasting Over the {Grassmann} and
{Stiefel} Manifolds",
journal = j-IEEE-TRANS-WIREL-COMMUN,
volume = "16",
number = "8",
pages = "5296--5310",
year = "2017",
CODEN = "ITWCAX",
ISSN = "1536-1276 (print), 1558-2248 (electronic)",
ISSN-L = "1536-1276",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Wireless Communications",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=7693",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Wang:2017:TNS,
author = "Guofang Wang and Rui Shan and Wei Huang and Wen Liu
and Jingyi Zhao",
title = "Two new spectral conjugate gradient algorithms based
on {Hestenes--Stiefel}",
journal = j-J-ALGORITHMS-COMPUT-TECHNOL,
volume = "11",
number = "4",
pages = "345--352",
year = "2017",
DOI = "https://doi.org/10.1177/1748301817725296",
ISSN = "1748-3018 (print), 1748-3026 (electronic)",
ISSN-L = "1748-3018",
MRclass = "65K10 (90C53)",
MRnumber = "3726197",
MRreviewer = "Yekini Shehu",
bibdate = "Tue Oct 24 12:40:19 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Algorithms \& Computational Technology",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
}
@Article{Zimmermann:2017:MAA,
author = "Ralf Zimmermann",
title = "A Matrix-Algebraic Algorithm for the {Riemannian}
Logarithm on the {Stiefel} Manifold under the Canonical
Metric",
journal = j-SIAM-J-MAT-ANA-APPL,
volume = "38",
number = "2",
pages = "322--342",
month = "????",
year = "2017",
CODEN = "SJMAEL",
DOI = "https://doi.org/10.1137/16M1074485",
ISSN = "0895-4798 (print), 1095-7162 (electronic)",
ISSN-L = "0895-4798",
bibdate = "Fri Aug 25 09:01:47 MDT 2017",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/38/2;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Matrix Analysis and Applications",
journal-URL = "http://epubs.siam.org/simax",
onlinedate = "January 2017",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Babaie-Kafaki:2018:LHH,
author = "Saman Babaie-Kafaki and Reza Ghanbari",
title = "A linear hybridization of the {Hestenes--Stiefel}
method and the memoryless {BFGS} technique",
journal = "Mediterranean Journal of Mathematics",
volume = "15",
number = "3",
pages = "Paper No. 86, 10",
year = "2018",
DOI = "https://doi.org/10.1007/s00009-018-1132-x",
ISSN = "1660-5446 (print), 1660-5454 (electronic)",
ISSN-L = "1660-5446",
MRclass = "90C53 (65F35 65K05)",
MRnumber = "3787799",
MRreviewer = "Wah June Leong",
bibdate = "Tue Oct 24 12:40:19 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
ajournal = "Mediterr. J. Math.",
fjournal = "Mediterranean Journal of Mathematics",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
}
@Article{Baluch:2018:NMT,
author = "Bakhtawar Baluch and Zabidin Salleh and Ahmad
Alhawarat",
title = "A new modified three-term {Hestenes--Stiefel}
conjugate gradient method with sufficient descent
property and its global convergence",
journal = "Journal of Optimization",
pages = "Art. ID 5057096, 13",
year = "2018",
DOI = "https://doi.org/10.1155/2018/5057096",
ISSN = "2314-6486 (print), 2356-752X (electronic)",
ISSN-L = "2314-6486",
MRclass = "90C53 (65K10 90C52)",
MRnumber = "3861853",
MRreviewer = "Anders Linn\'{e}r",
bibdate = "Tue Oct 24 12:40:19 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
ajournal = "J. Optim.",
fjournal = "Journal of Optimization",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
}
@InProceedings{Cai:2018:FSI,
author = "G. Cai and R. Zhang and F. Nie and X. Li",
booktitle = "{2018 25th IEEE International Conference on Image
Processing (ICIP)}",
title = "Feature Selection via Incorporating {Stiefel} Manifold
in Relaxed {$K$}-Means",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "1503--1507",
year = "2018",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Huper:2018:RSM,
author = "K. H{\"u}per and F. Ullrich",
booktitle = "{2018 13th APCA International Conference on Automatic
Control and Soft Computing (CONTROLO)}",
title = "Real {Stiefel} Manifolds: an Extrinsic Point of View",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "13--18",
year = "2018",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Jurdjevic:2018:GQG,
author = "V. Jurdjevic and F. S. Leite and K. Krakowski",
booktitle = "{2018 13th APCA International Conference on Automatic
Control and Soft Computing (CONTROLO)}",
title = "The Geometry of Quasi-Geodesics on {Stiefel}
Manifolds",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "213--218",
year = "2018",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Markdahl:2018:TAG,
author = "J. Markdahl and J. Thunberg and J. Gon{\c{c}}alves",
booktitle = "{2018 IEEE Conference on Decision and Control (CDC)}",
title = "Towards Almost Global Synchronization on the {Stiefel}
Manifold",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "496--501",
year = "2018",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Pitaval:2018:DSE,
author = "R. Pitaval and L. Wei and O. Tirkkonen and C.
Hollanti",
title = "Density of Spherically Embedded {Stiefel} and
{Grassmann} Codes",
journal = j-IEEE-TRANS-INF-THEORY,
volume = "64",
number = "1",
pages = "225--248",
year = "2018",
CODEN = "IETTAW",
ISSN = "0018-9448 (print), 1557-9654 (electronic)",
ISSN-L = "0018-9448",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Information Theory",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=18",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Sun:2018:RCP,
author = "Z. Sun and Y. Lian and S. Liu and Y. Tian",
booktitle = "{2018 IEEE 8th Annual International Conference on
CYBER Technology in Automation, Control, and
Intelligent Systems (CYBER)}",
title = "A Rapidly Convergent Projected Hestenes-Stiefel
Conjugate Gradient Algorithm for Optimal Robust
Controller of Bipedal Walking Robots",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "1094--1099",
year = "2018",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Amini:2019:MHS,
author = "Keyvan Amini and Parvaneh Faramarzi and Nasrin
Pirfalah",
title = "A modified {Hestenes--Stiefel} conjugate gradient
method with an optimal property",
journal = j-OPTIM-METHODS-SOFTW,
volume = "34",
number = "4",
pages = "770--782",
year = "2019",
DOI = "https://doi.org/10.1080/10556788.2018.1457150",
ISSN = "1026-7670 (print), 1055-6788 (electronic)",
ISSN-L = "1026-7670",
MRclass = "65K05 (90C26 90C52)",
MRnumber = "3957081",
MRreviewer = "C. S. Lalitha",
bibdate = "Tue Oct 24 12:40:19 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
fjournal = "Optimization Methods \& Software",
journal-URL = "http://www.tandfonline.com/loi/goms20",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
}
@Article{Awwal:2019:PHS,
author = "Aliyu Muhammed Awwal and Poom Kumam and Auwal Bala
Abubakar and Adamu Wakili",
title = "A projection {Hestenes--Stiefel}-like method for
monotone nonlinear equations with convex constraints",
journal = "Thai Journal of Mathematics",
volume = "17",
pages = "181--200",
year = "2019",
ISSN = "1686-0209",
MRclass = "65H10 (90C52)",
MRnumber = "3922012",
bibdate = "Tue Oct 24 12:40:19 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
ajournal = "Thai J. Math.",
fjournal = "Thai Journal of Mathematics",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
}
@InProceedings{Bordin:2019:NSE,
author = "C. J. Bordin and M. G. S. Bruno",
booktitle = "{ICASSP 2019 - 2019 IEEE International Conference on
Acoustics, Speech and Signal Processing (ICASSP)}",
title = "Nonlinear State Estimation Using Particle Filters on
the {Stiefel} Manifold",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "5042--5046",
year = "2019",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Chakraborty:2019:SSM,
author = "Rudrasis Chakraborty and Baba C. Vemuri",
title = "Statistics on the {Stiefel} manifold: Theory and
applications",
journal = j-ANN-STAT,
volume = "47",
number = "1",
pages = "415--438",
month = feb,
year = "2019",
CODEN = "ASTSC7",
ISSN = "0090-5364 (print), 2168-8966 (electronic)",
ISSN-L = "0090-5364",
bibdate = "Thu Mar 14 08:56:47 MDT 2019",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/annstat2010.bib",
URL = "http://projecteuclid.org/euclid.aos/1543568593",
acknowledgement = ack-nhfb,
fjournal = "Annals of Statistics",
journal-URL = "http://projecteuclid.org/all/euclid.aos/",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Dong:2019:EAT,
author = "Xiao-Liang Dong and Ze-Xian Liu and Hong-Wei Liu and
Xiang-Li Li",
title = "An efficient adaptive three-term extension of the
{Hestenes--Stiefel} conjugate gradient method",
journal = j-OPTIM-METHODS-SOFTW,
volume = "34",
number = "3",
pages = "546--559",
year = "2019",
DOI = "https://doi.org/10.1080/10556788.2017.1418870",
ISSN = "1026-7670 (print), 1055-6788 (electronic)",
ISSN-L = "1026-7670",
MRclass = "65K05 (90C53)",
MRnumber = "3937045",
MRreviewer = "Nicolas Gillis",
bibdate = "Tue Oct 24 12:40:19 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
fjournal = "Optimization Methods \& Software",
journal-URL = "http://www.tandfonline.com/loi/goms20",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
}
@InProceedings{Kume:2019:ALC,
author = "K. Kume and I. Yamada",
booktitle = "{2019 27th European Signal Processing Conference
(EUSIPCO)}",
title = "Adaptive Localized {Cayley} Parametrization Technique
for Smooth optimization over the {Stiefel} Manifold",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "1--5",
year = "2019",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Li:2019:SRB,
author = "Y. Li and S. Ding and B. Tan and H. Zhao and Z. Li",
title = "Sparse Representation Based on the Analysis Model With
Optimization on the {Stiefel} Manifold",
journal = j-IEEE-ACCESS,
volume = "7",
number = "??",
pages = "8385--8397",
year = "2019",
ISSN = "2169-3536",
ISSN-L = "2169-3536",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
fjournal = "IEEE Access",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=6287639",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Pealat:2019:EMI,
author = "C. Pealat and G. Bouleux and V. Cheutet",
booktitle = "{2019 IEEE EMBS International Conference on Biomedical
Health Informatics (BHI)}",
title = "Extracting Most Impacting Emergency Department Patient
Flow By Embedding Laboratory-confirmed and Clinical
Diagnosis on The {Stiefel} Manifold",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "1--4",
year = "2019",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@InProceedings{Solo:2019:NMS,
author = "V. Solo and Z. Wang",
booktitle = "{2019 IEEE 58th Conference on Decision and Control
(CDC)}",
title = "Numerical Methods for Stochastic Differential
Equations in {Stiefel} Manifolds via the {Cayley}
Transform",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "3303--3038",
year = "2019",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Tan:2019:LSP,
author = "M. Tan and Z. Hu and Y. Yan and J. Cao and D. Gong and
Q. Wu",
title = "Learning Sparse {PCA} with Stabilized {ADMM} Method on
{Stiefel} Manifold",
journal = j-IEEE-TRANS-KNOWL-DATA-ENG,
pages = "1--1",
year = "2019",
CODEN = "ITKEEH",
ISSN = "1041-4347 (print), 1558-2191 (electronic)",
ISSN-L = "1041-4347",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Knowledge and Data Engineering",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=69",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Awwal:2020:PHS,
author = "Aliyu Muhammed Awwal and Lin Wang and Poom Kumam and
Hassan Mohammad and Wiboonsak Watthayu",
title = "A projection {Hestenes--Stiefel} method with spectral
parameter for nonlinear monotone equations and signal
processing",
journal = "Mathematical \& Computational Applications",
volume = "25",
number = "2",
pages = "Paper No. 27, 29",
year = "2020",
DOI = "https://doi.org/10.3390/mca25020027",
ISSN = "1300-686X",
ISSN-L = "1300-686X",
MRclass = "65H10 (90C53 94A12)",
MRnumber = "4128230",
bibdate = "Tue Oct 24 12:40:19 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
ajournal = "Math. Comput. Appl.",
fjournal = "Mathematical \& Computational Applications",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
}
@InProceedings{Bordin:2020:PFC,
author = "C. J. Bordin and M. G. S. Bruno",
booktitle = "{ICASSP 2020 - 2020 IEEE International Conference on
Acoustics, Speech and Signal Processing (ICASSP)}",
title = "Particle Filtering on the Complex {Stiefel} Manifold
with Application to Subspace Tracking",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "5485--5489",
year = "2020",
bibdate = "Thu Sep 3 11:21:46 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Misc{Bruderer:2020:PBF,
author = "Herbert Bruderer",
title = "Preparation for Building the First Swiss Digital
Computer ({Ermeth})",
howpublished = "ACM Web site",
day = "31",
month = aug,
year = "2020",
bibdate = "Tue Oct 22 09:04:15 2024",
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https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://cacm.acm.org/blogs/blog-cacm/247088-preparation-for-building-the-first-swiss-digital-computer-ermeth/",
acknowledgement = ack-nhfb,
subject-dates = "Heinz Rutishauser (30 January 1918--10 November
1970); Eduard Stiefel (21 April 1909--25 November
1978)",
}
@Misc{Bruderer:2020:WTN,
author = "Herbert Bruderer",
title = "Why Is There No Well-Known Swiss {IT} Industry?",
howpublished = "ACM Web site",
day = "20",
month = jan,
year = "2020",
bibdate = "Tue Oct 22 09:04:15 2024",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "https://cacm.acm.org/blogcacm/why-is-there-no-well-known-swiss-it-industry/",
acknowledgement = ack-nhfb,
subject-dates = "Heinz Rutishauser (30 January 1918--10 November
1970); Eduard Stiefel (21 April 1909--25 November
1978)",
}
@Article{Chen:2020:PGM,
author = "Shixiang Chen and Shiqian Ma and Anthony Man-Cho So
and Tong Zhang",
title = "Proximal Gradient Method for Nonsmooth Optimization
over the {Stiefel} Manifold",
journal = j-SIAM-J-OPT,
volume = "30",
number = "1",
pages = "210--239",
month = "????",
year = "2020",
CODEN = "SJOPE8",
DOI = "https://doi.org/10.1137/18M122457X",
ISSN = "1052-6234 (print), 1095-7189 (electronic)",
ISSN-L = "1052-6234",
bibdate = "Thu May 28 10:47:01 MDT 2020",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIOPT/30/1;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/siamjopt.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Optimization",
journal-URL = "http://epubs.siam.org/siopt",
onlinedate = "January 2020",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
}
@Article{Hu:2020:SMH,
author = "Wujie Hu and Jinzhao Wu and Gonglin Yuan",
title = "Some modified {Hestenes--Stiefel} conjugate gradient
algorithms with application in image restoration",
journal = j-APPL-NUM-MATH,
volume = "158",
number = "??",
pages = "360--376",
month = dec,
year = "2020",
CODEN = "ANMAEL",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
ISSN-L = "0168-9274",
bibdate = "Tue Dec 29 07:52:54 MST 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/applnummath.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0168927420302440",
acknowledgement = ack-nhfb,
fjournal = "Applied Numerical Mathematics: Transactions of IMACS",
journal-URL = "http://www.sciencedirect.com/science/journal/01689274",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
}
@Article{Abubakar:2021:NTT,
author = "Auwal Bala Abubakar and Kanikar Muangchoo and
Abdulkarim Hassan Ibrahim and Abubakar Bakoji Muhammad
and Lateef Olakunle Jolaoso and Kazeem Olalekan Aremu",
title = "A New Three-Term {Hestenes--Stiefel} Type Method for
Nonlinear Monotone Operator Equations and Image
Restoration",
journal = j-IEEE-ACCESS,
volume = "9",
pages = "18262--18277",
year = "2021",
DOI = "https://doi.org/10.1109/ACCESS.2021.3053141",
ISSN = "2169-3536",
ISSN-L = "2169-3536",
bibdate = "Fri Oct 27 11:25:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
fjournal = "IEEE Access",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=6287639",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
}
@Article{Faramarzi:2021:STT,
author = "Parvaneh Faramarzi and Keyvan Amini",
title = "A spectral three-term {Hestenes--Stiefel} conjugate
gradient method",
journal = "4OR",
volume = "19",
number = "1",
pages = "71--92",
month = feb,
year = "2021",
DOI = "https://doi.org/10.1007/s10288-020-00432-3",
ISSN = "1614-2411 (print), 1619-4500 (electronic)",
ISSN-L = "1614-2411",
MRclass = "90C53 (65K05 90C26)",
MRnumber = "4235292",
bibdate = "Tue Oct 24 12:40:19 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
fjournal = "4OR. A Quarterly Journal of Operations Research",
journal-URL = "https://www.springer.com/journal/10288",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
}
@InProceedings{Halil:2021:MHS,
author = "Isam H. Halil and Khalil K. Abbo and Hassan H.
Ebrahim",
booktitle = "2021 7th International Conference on Contemporary
Information Technology and Mathematics {(ICCITM)}",
title = "Modifications of {Hestenes} and {Stiefel} {CG} Method
for Solving Unconstrained Optimization Problems",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "274--278",
year = "2021",
DOI = "https://doi.org/10.1109/ICCITM53167.2021.9677756",
bibdate = "Fri Oct 27 11:25:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Magnus Rudolph Hestenes (13 February 1906--31 May
1991)",
}
@InProceedings{Japri:2021:NMH,
author = "Nur Athira Japri and Srimazzura Basri and Mustafa
Mamat",
booktitle = "{AIP} Conference Proceedings: {SCIEMATHIC 2020}",
title = "New modification of the {Hestenes--Stiefel} with
strong {Wolfe} line search",
volume = "2355",
publisher = pub-AIP,
address = pub-AIP:adr,
year = "2021",
DOI = "https://doi.org/10.1063/5.0053211",
bibdate = "Tue Oct 24 17:11:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
}
@Article{Narayanan:2021:LHD,
author = "Sindhu Narayanan and P. Kaelo",
title = "A linear hybridization of {Dai--Yuan} and
{Hestenes--Stiefel} conjugate gradient method for
unconstrained optimization",
journal = j-NUM-MATH-THEORY-METHODS-APPL,
volume = "14",
number = "2",
pages = "527--539",
year = "2021",
DOI = "https://doi.org/10.4208/nmtma.oa-2020-0056",
ISSN = "1004-8979 (print), 2079-7338 (electronic)",
ISSN-L = "1004-8979",
MRclass = "65K10 (90C26 90C53)",
MRnumber = "4208436",
MRreviewer = "Marius Durea",
bibdate = "Tue Oct 24 12:40:19 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerical Mathematics. Theory, Methods and
Applications",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
}
@Article{HassanIbrahim:2022:DFT,
author = "Abdulkarim {Hassan Ibrahim} and Poom Kumam and Basim
A. Hassan and Auwal Bala Abubakar and Jamilu Abubakar",
title = "A derivative-free three-term {Hestenes--Stiefel} type
method for constrained nonlinear equations and image
restoration",
journal = j-INT-J-COMPUT-MATH,
volume = "99",
number = "5",
pages = "1041--1065",
year = "2022",
CODEN = "IJCMAT",
DOI = "https://doi.org/10.1080/00207160.2021.1946043",
ISSN = "0020-7160",
ISSN-L = "0020-7160",
MRclass = "65K10 (90C26 90C53)",
MRnumber = "4404895",
bibdate = "Tue Oct 24 12:40:19 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
fjournal = "International Journal of Computer Mathematics",
journal-URL = "http://www.tandfonline.com/loi/gcom20",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
}
@Article{Li:2022:MTT,
author = "Dandan Li and Yuangfei Li and Songhua Wang",
title = "A modified three terms {Hestenes--Stiefel} conjugate
gradient projection algorithm and its application",
journal = "Journal of Jilin University. Science Edition. Jilin
Daxue Xuebao. Lixue Ban",
volume = "60",
number = "1",
pages = "64--72",
year = "2022",
DOI = "https://doi.org/10.13413/j.cnki.jdxblxb.2021173",
ISSN = "1671-5489",
MRclass = "65K10 (90C53)",
MRnumber = "4390341",
MRreviewer = "Min Sun",
bibdate = "Tue Oct 24 12:40:19 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
ajournal = "J. Jilin Univ. Sci.",
fjournal = "Journal of Jilin University. Science Edition. Jilin
Daxue Xuebao. Lixue Ban",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
}
@Article{Khoshsimaye-Bargard:2023:DFS,
author = "Maryam Khoshsimaye-Bargard and Ali Ashrafi",
title = "A descent family of the spectral {Hestenes--Stiefel}
method by considering the quasi-{Newton} method",
journal = j-OPTIM-METHODS-SOFTW,
volume = "38",
number = "3",
pages = "495--509",
year = "2023",
DOI = "https://doi.org/10.1080/10556788.2022.2142585",
ISSN = "1026-7670 (print), 1055-6788 (electronic)",
ISSN-L = "1026-7670",
MRclass = "90C26 (65K10 90C53)",
MRnumber = "4609392",
bibdate = "Tue Oct 24 12:40:19 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
fjournal = "Optimization Methods \& Software",
journal-URL = "http://www.tandfonline.com/loi/goms20",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
}
@Article{Khoshsimaye-Bargard:2023:FMT,
author = "Maryam Khoshsimaye-Bargard and Ali Ashrafi",
title = "A family of the modified three-term
{Hestenes--Stiefel} conjugate gradient method with
sufficient descent and conjugacy conditions",
journal = "Journal of Applied Mathematics and Computing",
volume = "69",
number = "3",
pages = "2331--2360",
year = "2023",
DOI = "https://doi.org/10.1007/s12190-023-01839-x",
ISSN = "1598-5865 (print), 1865-2085 (electronic)",
ISSN-L = "1598-5865",
MRclass = "90C53 (90C06 90C26)",
MRnumber = "4594411",
MRreviewer = "Zhongwen Chen",
bibdate = "Tue Oct 24 12:40:19 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
ajournal = "J. Appl. Math. Comput.",
fjournal = "Journal of Applied Mathematics and Computing",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
}
@Article{Wang:2023:CST,
author = "Xiaoliang Wang",
title = "A class of spectral three-term descent
{Hestenes--Stiefel} conjugate gradient algorithms for
large-scale unconstrained optimization and image
restoration problems",
journal = j-APPL-NUM-MATH,
volume = "192",
number = "??",
pages = "41--56",
month = oct,
year = "2023",
CODEN = "ANMAEL",
DOI = "https://doi.org/10.1016/j.apnum.2023.05.024",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
ISSN-L = "0168-9274",
MRclass = "65K10 (94A12)",
MRnumber = "4601011",
bibdate = "Tue Oct 24 12:40:19 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/applnummath.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0168927423001538",
acknowledgement = ack-nhfb,
fjournal = "Applied Numerical Mathematics: Transactions of IMACS",
journal-URL = "http://www.sciencedirect.com/science/journal/01689274",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
}
@Article{Carson:2024:TUC,
author = "Erin Carson and J{\"o}rg Liesen and Zden{\v{e}}k
Strako{\v{s}}",
title = "Towards understanding {CG} and {GMRES} through
examples",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "692",
number = "??",
pages = "241--291",
day = "1",
month = jul,
year = "2024",
CODEN = "LAAPAW",
DOI = "https://doi.org/10.1016/j.laa.2024.04.003",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Wed Apr 24 13:20:32 MDT 2024",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib;
https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/saad-yousef.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/linala2020.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0024379524001381",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
}
@Article{Coghlan:2024:HPL,
author = "Brian Coghlan and Brian Randell and Ralf Buelow",
title = "How {Percy Ludgate}'s 1909 Paper (and {IBM}) Helped
Thwart {Konrad Zuse}'s Computer Patent in 1960",
journal = j-IEEE-ANN-HIST-COMPUT,
volume = "46",
number = "3",
pages = "20--35",
month = jul # "\slash " # sep,
year = "2024",
CODEN = "IAHCEX",
DOI = "https://doi.org/10.1109/MAHC.2024.3369024",
ISSN = "1058-6180 (print), 1934-1547 (electronic)",
ISSN-L = "1058-6180",
bibdate = "Mon Oct 21 10:01:33 2024",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wilkes-maurice-v.bib;
https://www.math.utah.edu/pub/tex/bib/ieeeannhistcomput.bib",
acknowledgement = ack-nhfb,
ajournal = "IEEE Ann. Hist. Comput.",
fjournal = "IEEE Annals of the History of Computing",
journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=85",
keywords = "Arithmetic; Companies; Computers; Decoding; Ludgate,
Percy; Patents; Product design; Product development;
Switches; Technological innovation",
remark = "This article supplies historical evidence for how
Konrad Zuse's patent applications for his
electromechanical computers were largely denied by the
Deutsches Patentamts (German Patent Office), due to
then little-known prior art in 1909 by Percy Ludgate
that was uncovered and reported by IBM patent attorneys
opposing Zuse's applications. IBM cross-licensed
patents on the ENIAC from Sperry Rand in 1956, and the
dearth of German patents on computers contributed to
IBM's early dominance in the development of the
computing industry. The article also has a brief note
in a footnote on page 28 on the failed attempt to
commercialize the Swiss ERMETH. On page 30, the article
says: ``Another individual who became very
knowledgeable about the early history of digital
computers was Maurice Wilkes. His 1956 book [Automatic
Digital Computers] contains, in an excellent survey and
detailed discussion of the origins of computers, the
only other full citation of Ludgate's 1909 paper we
have found that was published in the period
1915--1960.''",
}
@Book{Engeli:1959:RIM,
author = "Max Engeli and Theo. Ginsburg and Heinz Rutishauser
and Eduard L. Stiefel",
booktitle = "Refined Iterative Methods for Computation of the
Solution and the Eigenvalues of Self-adjoint Boundary
Value Problems",
title = "Refined Iterative Methods for Computation of the
Solution and the Eigenvalues of Self-Adjoint Boundary
Value Problems",
volume = "8",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "107",
year = "1959",
DOI = "https://doi.org/10.1007/978-3-0348-7224-9",
ISBN = "3-0348-7224-0 (e-book), 3-0348-7226-7",
ISBN-13 = "978-3-0348-7224-9 (e-book), 978-3-0348-7226-3",
ISSN = "0514-8146",
ISSN-L = "0514-8146",
LCCN = "QA3 .Z8 v.8; QA371",
MRclass = "65.66",
MRnumber = "145689",
MRreviewer = "P. Henrici",
bibdate = "Tue Jun 19 05:53:58 MDT 2018",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
series = "Mitteilungen aus dem Institut f{\"u}r angewandte
Mathematik",
URL = "http://link.springer.com/article/10.1007/978-3-0348-7224-9;
http://www.springerlink.com/content/978-3-0348-7224-9",
acknowledgement = ack-nhfb,
author-dates = "Heinz Rutishauser (30 January 1918--10 November 1970);
Eduard Stiefel (21 April 1909--25 November 1978)",
remark = "Mitteilungen aus dem Institut f{\"u}r angewandte
Mathematik an der Eidgen{\"o}ssischen Technischen
Hochschule in Z{\"u}rich. no. 8.",
tableofcontents = "Front Matter / 1--6 \\
I: The Self-Adjoint Boundary Value Problem / E. Stiefel
/ 7--23 \\
1. Problems of Dirichlet's and Poisson's type \\
2. Better approximations \\
3. Energy on the boundary \\
4. Eigenvalue problems \\
5. Biharmonic problems \\
6. Adaption for practical purposes; the test example
\\
7. Modes of oscillation of the plate \\
II: Theory of Gradient Methods / H. Rutishauser /
24--49 \\
1. Introduction \\
2. The residual polynomial \\
3. Methods with two-term recursive formulae \\
4. Methods with three-term recursive formulae \\
5. Combined methods \\
6. The cgT-method \\
7. Determination of eigenvalues \\
III: Experiments on Gradient Methods / Th. Ginsburg /
50--78 \\
1. Introduction \\
2. Survey of the plate experiments \\
3. Solution of the system A x + b = 0 (Plate problem
with coarse grid) \\
4. Determination of the eigenvalues of A \\
5. Solution of the system A x + b =0 and determination
of the eigenvalues of A; fine grid \\
6. Second test example: the bar problem \\
7. Appendix: The first three eigenvectors of A \\
IV: Overrelaxation / M. Engeli / 79--101 \\
1. Theory \\
2. Numerical results (Plate problem) \\
3. The bar problem \\
V: Conclusions / M. Engeli, Th. Ginsburg, H.
Rutishauser, E. Stiefel / 102--105 \\
1. The plate problem \\
2. The bar problem \\
3. Computation of eigenvalues \\
4. Recollection of the facts \\
References / 106--107",
}
@Book{Langer:1959:NAP,
editor = "R. E. Langer",
booktitle = "On numerical approximation. {Proceedings of a
Symposium, Madison, April 21--23, 1958}",
title = "On numerical approximation. {Proceedings of a
Symposium, Madison, April 21--23, 1958}",
publisher = "The University of Wisconsin Press",
address = "Madison, WI, USA",
pages = "x + 462",
year = "1959",
LCCN = "QA3 .U45 no. 1",
bibdate = "Tue Jun 19 06:45:47 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/bauer-friedrich-ludwig.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/tukey-john-w.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "Publication no. 1 of the Mathematics Research Center,
U.S. Army, the University of Wisconsin.",
acknowledgement = ack-nhfb,
subjects = "statistics",
tableofcontents = "1. On trends and problems in numerical
approximation / Ostrowski \\
2. Linear spaces and approximation theory / Buck \\
3. Operational methods in numerical analysis based on
rational approximations / Kopal \\
4. On the numerical integration of periodic analytic
functions / Davis \\
S. Some new divided difference algorithms in two
variables / Salzer \\
6. Numerical evaluation of multiple integrals / Hammer
\\
7. Optimal approximation and error bounds / Golomb and
Weinberger \\
8. The rationale of approximation / Sard \\
9. On extremal approximations / Walsh \\
10. Numerical methods of Tchebycheff approximation /
Stiefel \\
11. Minimax methods in table construction / Fox \\
12. Existence of essentially nonlinear families
suitable for oscillatory approximation / Motzkin \\
13. On variation diminishing approximation methods /
Schoenberg \\
14. Approximation by functions of fewer variables /
Golomb \\
15. Extremal approximations --- a summary / Miller \\
16. Survey of recent Russian literature on
approximation / Buck \\
17. The quotient--difference and epsilon algorithms /
Bauer \\
18. Some sufficient conditions for the existence of an
asymptotic formula or an asymptotic expansion / Rosser
\\
19. The estimation of (power) spectra and related
quantities / Tukey \\
20. Approximation in partial differential equations /
Collatz \\
21. Special polynomials in numerical analysis / Todd",
}
@Book{Adam:1961:UGO,
editor = "A. Adam and S. Sagoroff and E. Stiefel and A.
Walther",
booktitle = "{Unternehmensforschung}. ({German}) [{Operations}
research]",
title = "{Unternehmensforschung}. ({German}) [{Operations}
research]",
volume = "5",
publisher = pub-SV,
address = pub-SV:adr,
pages = "iv + 237",
year = "1961",
DOI = "https://doi.org/10.1007/978-3-662-39426-7",
ISBN = "3-662-38583-X (print), 3-662-39426-X",
ISBN-13 = "978-3-662-38583-8 (print), 978-3-662-39426-7",
LCCN = "HD30.23",
bibdate = "Thu Sep 3 06:31:54 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
URL = "http://link.springer.com/book/10.1007/978-3-662-39426-7",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
language = "German",
tableofcontents = "Front Matter / i--iv \\
Zum V. Jahrgang / A. Adam / 1--2 \\
Gemischt ganzzahlige lineare Programme zur L{\"o}sung
gewisser Entscheidungsprobleme / Werner Dinkelbach,
Franz Steffens / 3--14 \\
Die beste Schichtung einer Gesamtheit bei optimaler
Aufteilung der Probe / K. Stange / 15--31 \\
Ein Rechenblatt f{\"u}r die Simplexmethode / Franz
Ferschl / 32--41 \\
Abrechnungstableau als Hilfsalgorithmus / Adolf Adam /
42--48 \\
Kennwort: Periodische F{\"o}rderung / A. Adam / 49--52
\\
Wissenschaftliche Konferenz der Hochschulen {\"u}ber
die Fragen der Einf{\"u}hrung mathematischer Methoden
und moderner Rechentechniken in das Planen von
Unternehmungen der chemischen Industrie / A. Adam, S.
Sagoroff, E. Stiefel, A. Walther / 53--55 \\
Informationstechnik und Entscheidungspraxis / A. Adam,
S. Sagoroff, E. Stiefel, A. Walther / 55--56 \\
Moderne Methoden und Techniken in der
Betriebsf{\"u}hrung / \\
A. Adam, S. Sagoroff, E. Stiefel, A. Walther / 56--56
\\
Elektronische Rechenanlage f{\"u}r die
{\"o}sterreichischen Universit{\"a}ten / \\
A. Adam / 57--58 \\
Beitr{\"a}ge in Qualit{\"a}tskontrolle + Operational
Research , 5. Jahrgang, Heft 6 bis 12 / H. Kregeloh /
58--60 \\
Erratum / \\
A. Adam, S. Sagoroff, E. Stiefel, A. Walther / 60--60
\\
W. Sommer und H.--M. Sch{\"o}nfeld: Management
Dictionary, Fachw{\"o}rterbuch f{\"u}r
Betriebswirtschaft, Wirtschafte-- und Steuerrecht und
Lochkartenwesen / \\
E. Pfanzagl / 60--60 \\
Algol--Rechenprogramme statistischer Standardverfahren
/ \\
Rainer Knu{\ss}mann / 61--79 \\
Verkehrsplanung einer Gro{\ss}stadt / Walter Kn{\"o}del
/ 80--97 \\
Optimale Kapazit{\"a}t von Lagerhallen / Hermann
Witting / 98--110 \\
{\"U}ber ein dynamisches Programmierungsverfahren zur
Kostenminimalisierung bei vorgegebenen
Auftragsst{\"u}ckzahlen / \\
Philipp Egert / 111--118 \\
{\"O}sterreichische Fachgruppe f{\"u}r
Unternehmensforschung / \\
A. Adam, S. Sagoroff, E. Stiefel, A. Walther / 119--119
\\
Internationales Seminar {\"u}ber biometrische Methoden
in der Medizin und Genetik / A. Adam, S. Sagoroff, E.
Stiefel, A. Walther / 119--119 \\
IFIP--Kongre{\ss} 1962 / \\
A. Adam, S. Sagoroff, E. Stiefel, A. Walther / 119--120
\\
Grundz{\"u}ge des Management. Einf{\"u}hrung in Theorie
und Praxis der Unternehmensleitung. (Gabler, Wiesbaden)
1960. 140 Seiten, br. DM 9.80, Leinen DM 12.20 / \\
K. Junkerstorff, W. F. Gast / 120--120 \\
Zum Problem der optimalen Zusatzbestellung / Franz
Ferschl / 121--131 \\
Die kombinierte Simplex--Methode / G{\"u}nter Giesen /
132--139 \\
Methoden der Industrieplanung in
Entwicklungsl{\"a}ndern / Walter G{\"u}ldner / 140--143
\\
Abgek{\"u}rzte Verfahren beim quadratischen
Programmieren / Hans P. K{\"u}nzi / 144--165 \\
Ein weiteres Rechenschema f{\"u}r die Simplexmethode /
\\
Bernhard Wiezorke / 166--171 \\
Anmerkungen betreffend eine Statistische Technologie /
Adolf Adam / 172--181 \\
5. Jahrestagung des Arbeitskreises Operational Research
(AKOR) beim AWF / H. Voak / 182--183 \\
Anwendungen der Matrizenrechnung auf wirtschaftliche
und statistische Probleme / A. Adam, F. Ferschl, A.
Klamecker, A. Klingst, O. Pichler, J. Roppert et al. /
183--183 \\
Ziffernrechenautomaten / \\
W. K{\"a}mmerer, F. Fersohl / 184--184 \\
Warteschlangen mit gruppiertem Input / Franz Ferschl /
185--196 \\
Bemerkungen zum Verfahren von Gomory zur Bestimmung
ganzzahliger L{\"o}sungen von linearen Programmen / M.
Terebesi / 197--215 \\
Probleme des Produktionsausgleichs / Philipp Egert /
216--226 \\
Die Operationsforschung im Sozialismus / Stefan Varga /
227--233 \\
Tagung der Unternehmer und ihrer verantwortlichen
Mitarbeiter am Institut f{\"u}r Automation und
Operations Research der Universit{\"a}t Freiburg,
Schweiz, {\"u}ber M{\"o}glichkeiten des Operations
Research f{\"u}r den Unternehmer / A. Adam, S.
Sagoroff, E. Stiefel, A. Walther / 234--234 \\
Operations Research. Herausgegeben von American
Management Association / \\
W. Spindelberger / 234--234 \\
Notes on Operations Research. Assembled by the
Operations Research Center, M.I.T. / F. Ferschl /
234--235 \\
H.--H. B{\"o}hm: Operationenforschung / F. Ferschl /
235--236 \\
P. Stradoudakis: Organisation der
Unternehmensf{\"u}hrung / M. Jordan / 236--236 \\
K. Fluch: Der Status der Unternehmung / \\
M. Jordan / 236--236 \\
K. D{\"u}rr: Investitionsrechnung / E. Kosmath /
237--237 \\
Erratum to: Abgek{\"u}rzte Verfahren beim quadratischen
Programmieren / A. Adam, S. Sagoroff, E. Stiefel, A.
Walther / 237--237 \\
Back Matter / 237--237",
}
@Book{Stiefel:1963:INM,
author = "Eduard L. Stiefel",
booktitle = "An Introduction to Numerical Mathematics",
title = "An Introduction to Numerical Mathematics",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "x + 286",
year = "1963",
DOI = "https://doi.org/10.1016/C2013-0-08123-6",
ISBN = "1-4832-0038-8 (print), 1-4832-2541-0 (e-book)",
ISBN-13 = "978-1-4832-0038-5 (print), 978-1-4832-2541-8
(e-book)",
LCCN = "QA297 .S813 1963",
MRclass = "65.00",
MRnumber = "0181077",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
series = "Translated by Werner C. Rheinboldt and Cornelie J.
Rheinboldt",
URL = "http://www.sciencedirect.com/science/book/9781483200385",
abstract = "An Introduction to Numerical Mathematics provides
information pertinent to the fundamental aspects of
numerical mathematics. This book covers a variety of
topics, including linear programming, linear and
nonlinear algebra, polynomials, numerical
differentiation, and approximations. Organized into
seven chapters, this book begins with an overview of
the solution of linear problems wherein numerical
mathematics provides very effective algorithms
consisting of finitely many computational steps. This
text then examines the method for the direct solution
of a definite problem. Other chapters consider the
determination of frequencies in freely oscillating
mechanical or electrical systems. This book discusses
as well eigenvalue problems for oscillatory systems of
finitely many degrees of freedom, which can be reduced
to algebraic equations. The final chapter deals with
the approximate representation of a function $ f(x) $
given by I-values as in the form of a table. This book
is a valuable resource for physicists, mathematicians,
theoreticians, engineers, and research workers.",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
tableofcontents = "Foreword to German Edition \\
Foreword to the English Edition \\
Table of Contents \\
1. Linear Algebra \\
1.1 Linear Functions, Exchange \\
1.2 Inversion \\
1.3 Practical Solution of Linear Equations \\
2. Linear Programming \\
2.1 An Introductory Example \\
2.2 Solution of a Program with the Exchange Method \\
2.3 Geometric Interpretation of the Simplex Algorithm
\\
2.4 Generalizations \\
2.5 Method of Dual Solution \\
2.6 Application to Game Theory \\
2.7 Chebyshev Approximation \\
3. Least-Squares Approximation and Definite Problems
\\
3.1 The Method of Least-Squares \\
3.2 Definite Problems \\
3.3 Solution of Symmetric-Definite Equations \\
3.4 Orthogonality \\
4. Nonlinear Algebra \\
4.1 Linearization \\
4.2 The Correction Method of Newton \\
4.3 Recursion Formulas, Convergence \\
4.4 Newton's Method for Several Unknowns \\
4.5 Polynomials \\
4.6 Direct Methods for the Solution of Algebraic
Equations \\
5. Eigenvalue Problems \\
5.1 An Introductory Example \\
5.2 The Characteristic Polynomial \\
5.3 General Eigenvalue Problem, Iterative Methods \\
5.4 Outlooks \\
6. Differential Equations 6.1 Numerical Differentiation
\\
6.2 Numerical Integration \\
6.3 Differential Equations of the First Order \\
6.4 Systems of Differential Equations of the First
Order \\
6.5 Boundary-Value Problems \\
6.6 Partial Differential Equations \\
7. Approximations \\
7.1 The Interpolating Polynomial \\
7.2 Systems of Polynomials \\
7.3 Interpolation Problems in the Complex Plane \\
Appendix I. Computational Examples \\
Appendix II. Tables \\
Literature References \\
Additional Literature References in English \\
Author Index \\
Subject Index \\
Problems \\
Suggestions for Solutions",
}
@Book{Bauer:1967:DA,
author = "Friedrich L. Bauer and Alston S. Householder and Frank
W. J. Olver and Heinz Rutishauser and Klaus Samelson
and Eduard Stiefel",
booktitle = "Description of {ALGOL 60}",
title = "Description of {ALGOL 60}",
volume = "1a",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xii + 326",
year = "1967",
DOI = "https://doi.org/10.1007/978-3-642-86934-1;
https://doi.org/10.1007/978-3-662-38103-8",
ISBN = "3-540-03826-4, 3-642-86934-3 (e-book), 3-642-86936-X
(print), 3-662-38103-6",
ISBN-13 = "978-3-540-03826-9, 978-3-642-86934-1 (e-book),
978-3-642-86936-5 (print), 978-3-662-38103-8",
LCCN = "QA76.5 .R87",
bibdate = "Fri Aug 21 08:00:06 MDT 2020",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/b/bauer-friedrich-ludwig.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
series = "Handbook for Automatic Computation",
URL = "http://www.springerlink.com/content/978-3-642-86934-1",
abstract = "Automatic computing has undergone drastic changes
since the pioneering days of the early Fifties, one of
the most obvious being that today the majority of
computer programs are no longer written in machine code
but in some programming language like FORTRAN or ALGOL.
However, as desirable as the time-saving achieved in
this way may be, still a high proportion of the
preparatory work must be attributed to activities such
as error estimates, stability investigations and the
like, and for these no programming aid whatsoever can
be of help. In this respect, ALGOL, as an
internationally standardized notation which avoids
computer-oriented concepts, provides another advantage,
not often mentioned, but one which was already the
guiding principle at the very beginning of the
programming language venture: indeed, a correct ALGOL
program is the abstractum of a computing process for
which the necessary analyses have already been
performed. It is the very purpose of this Handbook to
establish such abstract formulations of certain
computing processes. Therefore, numerical methods given
in this Handbook in the form of ALGOL procedures may be
put to immediate use wherever ALGOL is known and
understood; in fact, application of such a method
reduces to little more than calling the corresponding
procedure.",
acknowledgement = ack-nhfb,
author-dates = "Alston Scott Householder (1904--1993); Eduard Stiefel
(21 April 1909--25 November 1978); Frank William John
Olver (15 December 1924--23 April 2013); Friedrich
(``Fritz'') Ludwig Bauer (10 June 1924--26 March 2015);
Heinz Rutishauser (30 January 1918--10 November 1970);
Klaus Samelson (21 December 1918--25 May 1980)",
tableofcontents = " Preface / H. Rutishauser / v--vi \\
I: Introduction \\
1. The Concept of Automatic Programming / 1 \\
2. Historical Remarks on Algorithmic Languages / 4 \\
3. The Algol Conferences of 1958, 1960, 1962 / 5 \\
4. Algol Dialects and the IFIP Subset of Algol 60 / 8
\\
5. Preliminary Definition of Algol / 9 \\
II: Basic Concepts \\
6. Auxiliary Conventions / 18 \\
7. The Basic Symbols of Algol / 20 \\
8. Values / 24 \\
9. Quantities and their Names / 25 \\
10. Numerical Constants / 27 \\
11. Labels / 29 \\
12. Strings / 30 \\
13. Comments / 32 \\
III: Expressions \\
14. Variables / 34 \\
15. Function Designators / 36 \\
16. Simple Arithmetic Expressions / 39 \\
17. Relations / 43 \\
18. Simple Boolean Expressions / 45 \\
19. Conditional Expressions / 48 \\
20. Subscript Expressions / 54 \\
IV: Statements \\
21. Assignment Statements / 56 \\
22. Sequences of Statements / 59 \\
23. Labelled Statements / 60 \\
24. The Dummy Statement / 62 \\
25. Goto-Statements / 62 \\
26. Procedure Statements I / 65 \\
27. Compound Statements and Blocks / 68 \\
28. The If-Statement / 71 \\
29. The If-Else-Statement / 76 \\
30. The For-Statement / 83 \\
V: Miscellaneous Applications \\
31. Algebraic Problems / 95 \\
32. Interpolation and Numerical Quadrature / 100 \\
33. Numerical Integration of Differential Equations /
106 \\
34. Least Square Problems / 111 \\
35. Computations Related to Continued Fractions / 116
\\
36. Considerations Concerning Computer Limitations /
122 \\
37. Data Processing Applications / 132 \\
VI: Declarations \\
38. Type Declarations / 145 \\
39. Array Declarations / 146 \\
40. Switch Declarations / 150 \\
41. Procedure Declarations I / 152 \\
42. Semantics of Blocks / 157 \\
43. Entire Programs / 165 \\
VII: Procedures \\
44. Procedure Declarations II / 172 \\
45. Procedure Statements II / 184 \\
46. Function Procedures and their Use / 196 \\
47. Code Procedures / 205 \\
48. Parameter Procedures / 212 \\
VIII: Input and Output \\
49. The Standard I/O-Procedures of Algol / 227 \\
50. Applications of Procedures insymbol, outsymbol /
232 \\
51. Use of inarray, outarray for Auxiliary Storage /
238 \\
Appendix A \\
52. The Jensen Device / 248 \\
52.1. The full name-concept / 248 \\
52.2. The Jensen device / 249 \\
52.3. Bound variables / 253 \\
53. Conclusion / 254 \\
53.1. Church's lambda notation / 254 \\
53.2. The lambda notation for arrays / 255 \\
53.3. Syntax of the proposed extension / 356 \\
53.4. Semantics of the proposed extension / 257 \\
53.5. Applications of the proposed extension / 258 \\
Appendix B. The IFIP-Reports on Algol / 262 \\
Report on SUBSET ALGOL 60 (IFIP) / 303 \\
Report on Input-Output Procedures for ALGOL 60 / 309
\\
References / 314 \\
Subject Index / 317",
xxseries = "Die Grundlehren der mathematischen Wissenschaften",
}
@Proceedings{Tapley:1973:RAD,
editor = "B. D. Tapley and V. Szebehely",
booktitle = "{Recent Advances in Dynamical Astronomy: Proceedings
of the NATO Advanced Study Institute in Dynamical
Astronomy Held in Cortina D'Ampezzo, Italy, August
9--21, 1972}",
title = "{Recent Advances in Dynamical Astronomy: Proceedings
of the NATO Advanced Study Institute in Dynamical
Astronomy Held in Cortina D'Ampezzo, Italy, August
9--21, 1972}",
volume = "39",
publisher = "Springer Netherlands",
address = "Dordrecht, The Netherlands",
pages = "xiii + 470",
year = "1973",
DOI = "https://doi.org/10.1007/978-94-010-2611-6",
ISBN = "94-010-2613-0 (print), 94-010-2611-4 (e-book)",
ISBN-13 = "978-94-010-2613-0 (print), 978-94-010-2611-6
(e-book)",
ISSN = "0067-0057",
ISSN-L = "0067-0057",
LCCN = "QB351",
bibdate = "Thu Sep 3 07:50:25 MDT 2020",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
series = "Astrophysics and Space Science Library, A Series of
Books on the Recent Developments of Space Science and
of General Geophysics and Astrophysics Published in
Connection with the Journal Space Science Reviews",
acknowledgement = ack-nhfb,
subject = "Celestial mechanics; Congresses; Celestial
mechanics.",
tableofcontents = "I. Regularization \\
A Linear Theory of the Perturbed Two-Body Problem
(Regularization) \\
Collision Singularities in Gravitational Problems \\
Regularization Using a Time-Transformation Only \\
Stabilization of the Differential Equations of
Keplerian Motion \\
The Particular Solutions of Levi-Civita \\
Example of Integration of Strongly Oscillating Systems
\\
The Application of Recurrence Relations to Special
Perturbation Methods \\
Numerical Solution of Ordinary Differential Equations
(Abstract) \\
II. The Three-Body Problem \\
Recent Advances in the Problem of Three Bodies \\
Periodic Elliptic Motion in the Problem of Three Bodies
(Abstract) \\
On a Conjecture by Poincar{\'e} \\
The Three-Dimensional Elliptic Problem \\
Second and Third Order Variations of the Three
Dimensional Restricted Problem \\
Planar Periodic Orbits Using Second and Third
Variations \\
Elliptic Restricted Problem: Fourth-Order Stability
Analysis of the Triangular Points \\
A Linear Description of the Second Species Solutions
\\
III. The N-Body Problem and Stellar Dynamics \\
Problems of Stellar Dynamics \\
Invariant Manifolds in Celestial Mechanics \\
Theoretical Aspects of N-Body Computer Simulations \\
Integration Methods of the N-Body Problem (Abstract)
\\
Numerical Studies of the Gravitational Problem of
N-Bodies (Abstract) \\
Star Encounter Simulations \\
Yukawa Potential and Stellar Encounter \\
An Investigation of the R{\^o}le of Turbulence in the
Formation of Star Clusters by a Point-Mass Simulation
\\
IV. The Theory of General Perturbations \\
Theory of General Perturbations \\
The Algorithm of the Inverse for Lie Transform \\
The Property of Covariance in Hori's Non-Canonical
Perturbation Theory (Abstract) \\
Subdynamics in Classical Mechanics \\
V. The Solar System and Orbital Resonances \\
Astronomical Systems of Units, Co-ordinates and
Time-Scales \\
Masses of the Planets and Satellites (Abstract) \\
Planetary Ephemerides \\
Orbits of the Natural Satellites. Lectures on Some
Types of Orbital Motion Amongst Them \\
On the Origin of the Titan-Hyperion System \\
Planetary Distances and the Missing Planet \\
Change of Inclination in Passing Through Resonance \\
VI. Trajectory Determination and the Motion of Rigid
Bodies \\
Review of Non-Numerical Uses of Computers \\
Elementary Dynamical Astronomy \\
Statistical Orbit Determination Theory \\
Orbit Determination by Solving a Boundary Value Problem
\\
Long-Term Motion in a Restricted Problem of Rotational
Motion \\
Uniform Theory of a Rotating Rigid Body with Dynamical
Symmetry \\
Attitude Stability of a Satellite in the Restricted
Three-Body Problem \\
Analytic Treatment of Straight-Line Flights into the
Sun after Planetary Fly-By",
truncatedtableofcontents = "List of Principal Speakers / ix \\
List of Participants / xi \\
I. Regularization \\
E. Stiefel / A Linear Theory of the Perturbed Two-Body
Problem (Regulization) / 3 \\
J. Waldvogel / Collision Singularities in Gravitational
Problems / 21 \\
D. C. Heggie / Regularization Using a
Time-Transformation Only / 34 \\
J. Baumgarte / Stabilization of the Differential
Equations of Keplerian Motion / 38 \\
F. Nahon / The Particular Solutions of Levi-Civita / 45
\\
O. Godart / Example of Integration of\ Strongly
Oscillating Systems / 53 \\
W. Black / The Application of Recurrence Relations to
Special Perturbation Methods / 61 D. G. BETTIS /
Numerical Solution of Ordinary Differential Equations
(Abstract) / 71 \\
II. The Three-Body Problem \\
V. Szebehely / Recent Advances in the Problem of Three
Bodies / 75 \\
R. F. Arenstorf / Periodic Elliptic Motion in the
Problem of Three Bodies (Abstract) / 107 \\
G. Katsiaris and C. L. Goudas / On a Conjecture by
Poincar{\'e} / 109 \\
G. Katsiaris / The Three-Dimensional Elliptic Problem /
118 \\
P. G. Kazantzis / Second and Third Order Variations of
the Three Dimensional Restricted Problem / 135 \\
C. G. Zagouras / Planar Periodic Orbits Using Second
and Third Variations / 146 \\
E. Rabe / Elliptic Restricted Problem: Fourth-Order
Stability Analysis of the Triangular Points / 156 \\
P. Guillaume / A Linear Description of the Second
Species Solutions / 161 \\
III. The N-Body Problem and Stellar Dynamics \\
G. Contopoulos / Problems of Stellar Dynamics / 177 \\
W. T. KYNER / Invariant Manifolds in Celestial
Mechanics 192 \\
\ldots{}",
}
@Proceedings{Szebehely:1976:LTP,
editor = "V. Szebehely and B. D. Tapley",
booktitle = "{Long-Time Predictions in Dynamics: Proceedings of the
NATO Advanced Study Institute held in Cortina
d'Ampezzo, Italy, August 3--16, 1975}",
title = "{Long-Time Predictions in Dynamics: Proceedings of the
NATO Advanced Study Institute held in Cortina
d'Ampezzo, Italy, August 3--16, 1975}",
volume = "26",
publisher = "Springer Netherlands",
address = "Dordrecht, The Netherlands",
pages = "xviii + 385",
year = "1976",
DOI = "https://doi.org/10.1007/978-94-010-1493-9",
ISBN = "94-010-1493-0 (e-book), 94-010-1495-7 (print)",
ISBN-13 = "978-94-010-1493-9 (e-book), 978-94-010-1495-3
(print)",
ISSN = "1389-2185",
ISSN-L = "1389-2185",
LCCN = "QB4",
bibdate = "Thu Sep 3 07:56:53 MDT 2020",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
series = "NATO Advanced Study Institutes Series, Series C --
Mathematical and Physical Sciences",
abstract = "This volume contains lectures given at the NATO
Advanced Study Institute on Long-Time Predictions in
Dynamics conducted in Cortina d'Ampezzo, Italy during
August 3-16, 1975. The lectures were presented in
groups, according to the original structure of the
Institute. Under ``Fundamentals'' the general concepts
were treated by Contopoulos, DeWitt, Reichl, Stiefel,
Szebehely, Bartlett, Kirchgraber, Verhults and Sigrist.
This was followed by the series of lectures on
``Numerical and Statistical Analysis'' offered by
Aarseth, Baumgarte and Tapley. The third principal
subject was ``Three and Many-Body Problems'' with
Garfinkel, Broucke, Hadjidemetriou, Marchal, Nahon,
Waldvogel, Lasco, and Markellos as the major speakers.
The last group of lectures treated ``Dynamics in
Astronomy'' by Colombo, Message, Ovenden, Vicente, and
Douglas. Some of the outstanding lectures were rather
didactic in nature or were published elsewhere or could
not meet the deadline for publication. The Editors will
be delighted to furnish leads to those interested in
these lectures. Some of the lectures were presented in
form of seminar-contributions. These are published as
Summaries at the end of this Volume. The Institute was
dedicated to the conceptual, analytical, numerical and
applied aspects of the problem of long-time predic tion
in dynamics. This fundamental problem emerged in all
lectures: linearization, regularization, stabilization,
averaging, estimation, periodic orbits, qualitative
aspects, secular variations, resonance, invariants,
etc. were some of the subjects treated in depth. Some
conclusions are offered here with the utmost humility
and with the advance acknowledgement of the fact that
we all hear what we want to hear.",
acknowledgement = ack-nhfb,
subject = "Physics; Physics.; Astronomy and Astrophysics.;
Physical Sciences and Mathematics.; Astronomy -
General.",
tableofcontents = "I. Fundamentals \\
From the Theory of Numbers via Gyroscopes and Lie
Algebras to Linear Celestial Mechanics \\
Lectures on Linearizing Transformations of Dynamical
Systems \\
Strongly Perturbed Dynamical Systems \\
Catastrophes in Lagrangian Systems \\
A \\
An Example \\
B \\
Statistical Behavior in Conservative Classical Systems
\\
G1obal Stability of Area-Preserving Mappings \\
On the Method of Averaging \\
On the Theory of Averaging \\
Qualitative Investigation of Almost Separable
Hamiltonian System of Two Degrees of Freedom \\
II. Numerical and Statistical Analysis \\
Stabilization, Manipulation, and Analytic Step Adaption
\\
On the Interpretation of Least Squares Collocation \\
A Note on Stabilization in Three-Body Regularization
\\
III. Three and Many-Body Problems \\
Qualitative Methods and Results in Celestial Mechanics
\\
On the Characteristic Exponents of the General
Three-Body Problem \\
Families of Periodic Orbits in the General N-Body
Problem \\
Triple Collision \\
An Invariant Measure for the Planar Restricted Three
Body Problem \\
Periodic Oscillations of the First Generation in the
Stormer Problem \\
IV. Dynamics in Astronomy \\
Formal Expressions for the Motion of NPlanets in the
Plane, with the Secular Variations Included, and an
Extension to Poisson's Theorem \\
The Principle of Least Interaction Action \\
Rotational Motions of the Terrestrial Planets \\
Long-Term Orbit Determination and Prediction for
Geodynamic Investigations \\
V. Abstracts of Seminar-Contributions \\
Dynamical Systems Involving Uncertainty \\
Periodic Orbits Around the Equilibrium Points of a
Central Gravitational Potential Perturbed by the J22
Term \\
Time Regularization and Stabilization of an
Adams-Moulton-Cowel1 Algorithm \\
On the Theory of an Artificial Satellite \\
The Evolution of Planetary Orbits in the Capture Theory
of the Origin of the Solar System \\
Geodynamic Investigations Using Very Long Term
Observation of Near-Earth Satellites \\
A New Transformation for the Perturbed Problem of Two
Bodies \\
Kozai's Theory of an Artificial Satellite \\
Cassini's Laws \\
Theory of the Rotation of the Riged Earth \\
Periodic Oscillations of the Second Generation in the
St{\"o}rmer Problem \\
Three-Dimensional Branchings of Plane Periodic
Solutions \\
On Stabilization Using the Energy Integral \\
Resonance Effects in Satellite Orbits \\
On the Resonance 1:1 for Hamiltonian Systems Near an
Equilibrium Point \\
Periodic Orbits Near an Equilibrium Pgint: The Liapunov
Center Theorem \\
Analytical and Numerical Study of a Perturbed Pendulum
\\
Algebraical Aspects of Perturbation Theories \\
Stabilization and Time Elements for Kepler's Problem
\\
A Note on the H{\'e}non-Heiles Problem \\
Newtonian Cosmology with Varying G \\
The Effects of Integrals on the Totality of Solutions
of Dynamical Systems",
}
@Book{Rojas:1998:RKZ,
editor = "Ra{\'u}l Rojas",
booktitle = "{Die Rechenmaschinen von Konrad Zuse}. ({German})
[{The} computing machines of {Konrad Zuse}]",
title = "{Die Rechenmaschinen von Konrad Zuse}. ({German})
[{The} computing machines of {Konrad Zuse}]",
publisher = pub-SV,
address = pub-SV:adr,
pages = "vii + 221",
year = "1998",
DOI = "https://doi.org/10.1007/978-3-642-71944-8",
ISBN = "3-540-63461-4 (hardcover), 3-642-71944-9 (e-book)",
ISBN-13 = "978-3-540-63461-4 (hardcover), 978-3-642-71944-8
(e-book)",
LCCN = "QA75 .R42 1998; QA75.5-76.95; TK7885",
MRclass = "*68-03, 01A60, 68Q05",
bibdate = "Tue Oct 22 09:21:21 MDT 2024",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/b/bauer-friedrich-ludwig.bib;
https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
ZMnumber = "0890.68001",
acknowledgement = ack-nhfb,
language = "German",
subject = "Zuse, Konrad; History of computing; Rechenmaschine;
Z3; Computer; Geschichte",
subject-dates = "Friedrich (``Fritz'') Ludwig Bauer (10 June 1924--26
March 2015); Heinz Rutishauser (30 January 1918--10
November 1970); Eduard Stiefel (21 April 1909--25
November 1978); Konrad Zuse (22 June 1910--18 December
1995)",
tableofcontents = "Front Matter / i--viii \\
Vorwort / Ra{\'u}l Rojas / 1--4 \\
Konrad Zuse: Fakten und Legenden / Friedrich L. Bauer
/ 5--22 \\
Die Rekonstruktion der Z1 im Deutschen Technikmuseum
Berlin / Hadwig Dorsch / 23--26 \\
Die Architektur der Rechenmaschinen Z1 und Z3 /
Ra{\'u}l Rojas / 27--62 \\
Die M{\"u}hlen des Patentamts / Hartmut Petzold /
63--108 \\
Die Patentanmeldung Z391 von Konrad Zuse / Ra{\'u}l
Rojas, Georg-Alexander Thurm / 109--110 \\
Patentanmeldung Z391 (1941) / Konrad Zuse / 111--194
\\
Eine Simulation der Z3 f{\"u}r das Internet /
Georg-Alexander Thurm / 195--206 \\
Mechanisches Schaltglied / Konrad Zuse / 207--221",
}
@Book{Lide:2001:CEM,
editor = "D. R. Lide",
booktitle = "A Century of Excellence in Measurements, Standards,
and Technology: {A} Chronicle of Selected {NBS\slash
NIST} Publications, 1901--2000",
title = "A Century of Excellence in Measurements, Standards,
and Technology: {A} Chronicle of Selected {NBS\slash
NIST} Publications, 1901--2000",
volume = "958",
publisher = pub-NTIS,
address = pub-NTIS:adr,
pages = "ix + 386",
year = "2001",
bibdate = "Wed Oct 25 15:09:56 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "NIST Special Publication",
URL = "https://nvlpubs.nist.gov/nistpubs/sp958-lide/cntsp958old.htm",
acknowledgement = ack-nhfb,
subject-dates = "Magnus Rudolph Hestenes (13 February 1906--31 May
1991)",
tableofcontents = "Introduction / David R. Lide / 002 \\
The Absolute Measurement of Inductance / A-M. Jeffrey,
N. B. Belecki, and J. F. Mayo-Wells / 005 \\
Determination of the Constants of Total Radiation From
a Black Body / Albert C. Parr / 007 \\
The Testing of Thermal Insulators / Robert R. Zarr /
010 \\
Precipitation Hardening of Metal Alloys / Sam Coriell /
014 \\
Construction and Operation of a Simple Homemade Radio
Receiving Outfit / Brian Belanger / 016 \\
Methods for Standardizing and Testing Precision Gage
Blocks / Ted Doiron / 019 \\
Recommended Minimum Requirements for Small Dwelling
Construction / Joel P. Zingeser / 022 \\
Visibility of Radiant Energy / Jonathan E. Hardis / 025
\\
Test of the Severity of Building Fires / David Evans,
Daniel Gross, and Richard Wright / 028 \\
Calculation of Compounds in Portland Cements / Geoffrey
Frohnsdorff / 033 \\
Development of the Visual-Type Airway Radio-Beacon
System / Hans J. Oser / 038 \\
A Hydrogen Isotope of Mass 2 / Walter J. Hamer and H.
Steffen Peiser / 043 \\
Air Flow and Turbulence in Boundary Layers / Norman A.
Mease and James E. Potzick / 046 \\
Thermodynamic Properties of Water and Steam for Power
Generation / Allan H. Harvey and Johanna M. H. Levelt
Sengers / 049 \\
Absolute Pressure Calibrations of Microphones / Victor
Nedzelnitsky / 053 \\
Absolute Determination of the Ampere / E. R. Williams,
R. E. Elmquist, N. B. Belecki, and J. F. Mayo-Wells /
056 \\
Radio Proximity Fuzes / John W. Lyons, E. A. Brown, and
B. Fonoroff / 059 \\
Stability of Double-Walled Manganin Resistors / R.
Dziuba, N. B. Belecki, and J. F. Mayo-Wells / 063 \\
Manufacture of Paper for War Maps and Other
Applications / William K. Wilson / 066 \\
Transmission of Sound Waves in Gases at Low Pressures /
Thomas M. Proctor / 069 \\
Atomic Energy Levels and Other Spectroscopic Data /
Wolfgang L. Wiese / 073 \\
Iteration Method for the Solution of the Eigenvalue
Problem of Linear Differential and Integral Operators /
Dianne P. O'Leary / 077 \\
Methods of Conjugate Gradients for Solving Linear
Systems / Dianne P. O'Leary / 081 \\
Computer Development at the National Bureau of
Standards / Russell A. Kirsch / 086 \\
Thermal Converters as AC--DC Transfer Standards for
Current and Voltage Measurements at Audio Frequencies /
J. R. Kinard, Jr., N. B. Belecki, and J. F. Mayo-Wells
/ 090 \\
Selected Values of Chemical Thermodynamic Properties /
David R. Lide / 093 \\
Applied Inorganic Analysis / Charles M. Beck II / 097
\\
The Diamond Anvil Pressure Cell / Gasper Piermarini and
Stanley Block / 100 \\
Polymer Crystallization With Folded Chains / Freddy
Khoury, John Hoffman, and Tom Davis / 104 \\
Cryogenic Engineering / Richard H. Kropschot / 107 \\
Reversal of the Parity Conservation Law in Nuclear
Physics / Ralph P. Hudson / 111 \\
Effects of Configuration Interaction on Intensities and
Phase Shifts / Charles W. Clark / 116 \\
Electromagnetic Waves in Stratified Media / D. A. Hill
/ 120 \\
``Second Breakdown'' in Transistors / Harry A. Schafft
/ 123 \\
Stress Relaxation With Finite Strain / Elliot Kearsley
and Barry Bernstein / 126 \\
Realistic Evaluation of the Precision and Accuracy of
Instrument Calibration Systems / M. Carroll Croarkin /
129 \\
Experimental Statistics / M. Carroll Croarkin / 132 \\
Handbook of Mathematical Functions / Ronald F. Boisvert
and Daniel W. Lozier / 135 \\
Paths, Trees, and Flowers / Christoph Witzgall, Ronald
Boisvert, Geraldine Cheok, Saul Gass, Alan Goldman, and
James Lawrence / 140 \\
Concepts, Terminology, and Notation for Optical
Modulation / Calvin S. McCamy / 145 \\
Theory of Light Scattering in Fluids / Raymond D.
Mountain / 149 \\
Scaling Analysis of Thermodynamic Properties in the
Critical Region of Fluids / Raymond D. Mountain / 152
\\
Resonance Tunneling of Field Emitted Electrons Through
Adsorbates on Metal Surfaces / J. W. Gadzuk / 155 \\
Quantitative Electron Probe Microanalysis / Dale E.
Newbury / 160 \\
Limits for Qualitative Detection and Quantitative
Determination / Richard M. Lindstrom / 164 \\
Traceability: An Evolving Concept / Brian Belanger,
Stanley Rasberry, Ernest Garner, Carroll Brickencamp,
and Charles Ehrlich / 167 \\
Code for Information Interchange / Martha M. Gray / 172
\\
Consumer Information Series / Walter G. Leight and W.
Reeves Tilley / 174 \\
Theory of Isoperibol Calorimetry for Laser Power and
Energy Measurement / Thomas R. Scott / 178 \\
Influence of Water on Crack Growth in Glass / Edwin
Fuller, William Luecke, and Stephen Freiman / 181 \\
Phase Equilibria Diagrams / Ronald Munro, Howard
McMurdie, Helen Ondik, and Terrell Vanderah / 184 \\
Determination of Reduced Cells in Crystallography /
Alan D. Mighell, Vicky Lynn Karen, and Ronald Munro /
188 \\
Speed of Light From Direct Frequency and Wavelength
Measurements / Donald B. Sullivan / 191 \\
Connecting Visible Wavelength Standards With X Rays and
{gamma}Rays / Richard D. Deslattes / 194 \\
Laser Cooling of Atoms / D. B. Sullivan / 200 \\
Spin-Polarized Electrons / Daniel T. Pierce and Robert
J. Celotta / 203 \\
Needs for Radioactivity Standards and Measurements in
Different Fields / Bert Coursey / 209 \\
The Topografiner: An Instrument for Measuring Surface
Microtopography / J. S. Villarurubia, R. D. Young, F.
Scire, E. C. Teague, and J. W. Gadzuk / 214 \\
Electron-Stimulated Desorption / Ted Madey and John
Yates / 219 \\
Photochemistry of Small Molecules / James R. McNesby
and Ralph Klein / 224 \\
Role of Standard Reference Materials in Measurement
Systems / Thomas E. Gills / 227 \\
Metrology and Standardization to Assist Industrializing
Economies / Lewis M. Branscomb / 230 \\
Publications Taking Us Toward a Metric America / Ralph
A. Richter / 234 \\
A New Approach to Manipulator Control: The Cerebellar
Model Articulation Controller / James S. Albus / 237
\\
Three Dimensional Metrology / Ted Doiron / 241 \\
Initial Graphics Exchange Specifications / Sharon K.
Kemmerer / 246 \\
Data Encryption Standard / William E. Burr / 250 \\
OMNIDATA and the Computerization of Scientific Data /
John R. Rumble, Jr. / 254 \\
FORTRAN Test Programs / John Cugini / 258 \\
Design and Evaluation Criteria for Energy Conservation
in New Buildings / Jim L. Heldenbrand / 260 \\
Computer Program for Heating and Cooling Loads in
Buildings / George Walton / 266 \\
Methods for Testing and Rating the Performance of
Heating and Air Conditioning Systems / James E. Hill /
270 \\
System for Fire Safety Evaluation of Health Care
Facilities / Harold Nelson / 275 \\
Estimation of Rate of Heat Release by Means of Oxygen
Consumption Measurements / Kenneth D. Steckler / 280
\\
Probability-Based Load Criteria for Structural Design /
Bruce R. Ellingwood / 283 \\
Resistivity-Dopant Density Relationship for
Phosphorus-Doped Silicon / W. R. Thurber / 289 \\
Critical Data for Critical Needs / John R. Rumble, Jr.
/ 291 \\
Materials at Low Temperatures / Fred Fickett / 294 \\
Optical Fiber Characterization / D. L. Franzen / 297
\\
Quasicrystals / Ronald Munro, Frank Gale, and Carol
Handwerker / 300 \\
Protein Crystallography by Joint X-Ray and Neutron
Diffraction / Norman F. Berk / 303 \\
Strain Effects in Superconducting Compounds / J. W.
Ekin / 306 \\
Dental Research at the National Bureau of Standards /
John Tesk and Ronald Munro / 309 \\
Handbook for Standard Reference Materials Users /
Thomas E. Gills / 313 \\
A Practical Josephson Voltage Standard at One Volt / Y.
Tang, N. B. Belecki, and J. F. Mayo-Wells / 315 \\
Plane-Wave Scattering-Matrix Theory of Antennas and
Antenna-Antenna Interactions / A. G. Repjar and J. F.
Mayo-Wells / 319 \\
The Automated Manufacturing Research Facility / James
S. Albus / 322 \\
Submicrometer Linewidth Metrology / Michael T. Postek
and Robert D. Larrabee / 328 \\
Observation of Atoms Laser-Cooled Below the Doppler
Limit / Steven Rolston / 331 \\
Laser-Excited Hot-Electron Induced Desorption / J. W.
Gadzuk / 334 \\
Measurement of the Universal Gas Constant Using an
Acoustic Resonator / Michael R. Moldover / 339 \\
Thermal and Oxidative Degradation of Polymers / Takashi
Kashiwagi / 344 \\
HAZARD I: Software for Fire Hazard Assessment / Richard
Bukowski / 347 \\
Analysis of the Catastrophic Rupture of a Pressure
Vessel / Tom Siewert / 350 \\
Curing Those Uncontrollable Fits of Interaction / Don
Libes / 353 \\
Baldrige Criteria for Performance Excellence / Curt
Reimann and Debbie Smyth / 357 \\
The Advanced Technology Program / Robert Sienkiewicz
and Richard N. Spivack / 359 \\
NIST Manufacturing Extension Partnership / Anita
O'Brien / 363 \\
Questions and Answers on Quality / Maureen Breitenberg
/ 366 \\
Uniformity in Weights and Measures Laws and Regulations
/ Joan Koenig / 368 \\
Certification of 10 $\mu$m Diameter Polystyrene Spheres
(``Space Beads'') / Tom Lettieri / 371 \\
Bose--Einstein Condensation in a Dilute Atomic Vapor /
James Faller / 375 \\
Index / David R. Lide / 379",
}
@Proceedings{IEEE:2003:IICa,
editor = "{IEEE}",
booktitle = "{2003 IEEE International Conference on Acoustics,
Speech, and Signal Processing: proceedings: April
6--10, 2003, Hong Kong Exhibition and Convention
Centre, Hong Kong (ICASSP '03)}",
title = "{2003 IEEE International Conference on Acoustics,
Speech, and Signal Processing: proceedings: April
6--10, 2003, Hong Kong Exhibition and Convention
Centre, Hong Kong (ICASSP '03)}",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "????",
year = "2003",
ISBN = "0-7803-7663-3",
ISBN-13 = "978-0-7803-7663-2",
LCCN = "TK7882.S65 I16 2003",
bibdate = "Thu Mar 24 21:28:32 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib;
melvyl.cdlib.org:210/CDL90",
note = "IEEE catalog number 03CH37404.",
URL = "http://ieeexplore.ieee.org/servlet/opac?punumber=8535",
acknowledgement = ack-nhfb,
subject = "speech processing systems; congresses;
electro-acoustics; underwater acoustics; integrated
circuits; very large scale integration; signal
processing",
}