%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Nelson H. F. Beebe", %%% version = "1.02", %%% date = "05 December 2022", %%% time = "08:47:28 MDT", %%% filename = "stiefel-eduard.bib", %%% address = "University of Utah %%% Department of Mathematics, 110 LCB %%% 155 S 1400 E RM 233 %%% Salt Lake City, UT 84112-0090 %%% USA", %%% telephone = "+1 801 581 5254", %%% FAX = "+1 801 581 4148", %%% URL = "http://www.math.utah.edu/~beebe", %%% checksum = "10205 8118 35376 369175", %%% email = "beebe at math.utah.edu, beebe at acm.org, %%% beebe at computer.org (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "bibliography; BibTeX; conjugate gradients; %%% Eduard Stiefel; ERMETH; Stiefel manifold; %%% Stiefel--Grassman Flow (SGF); %%% Stiefel--Grassman manifold; Stiefel--Whitney %%% homology", %%% license = "public domain", %%% supported = "yes", %%% docstring = "This is a bibliography of publications %%% of the distinguished Swiss mathematician, %%% computer architect, mathematical astronomer, %%% numerical analyst, and software engineer, %%% Eduard Stiefel (21 April 1909--25 November %%% 1978). %%% %%% Although in a few English-language %%% publications, his name appears with a middle %%% initial L., he appears not to have used that %%% initial in other publications, and no %%% reliable source of what it stands for has %%% been yet found. %%% %%% The Eduard Stiefel of this bibliography %%% should not be confused with the later medical %%% researcher, Eduard Stiefel. %%% %%% It has not yet been possible for the %%% bibliographer to locate the definitive list %%% of publications by Eduard Stiefel recorded in %%% entry Hein:1979:BPD. That document does not %%% appear to be available electronically. Thus, %%% this bibliography cannot yet claim complete %%% coverage of his works, but based on numerous %%% Web searches, it is likely that this file %%% contains the largest known, and freely %%% available, record of his publications, and %%% those of others about him and his works. %%% %%% At version 1.02, the year coverage looked %%% like this: %%% %%% 1935 ( 2) 1964 ( 6) 1993 ( 3) %%% 1936 ( 0) 1965 ( 6) 1994 ( 1) %%% 1937 ( 1) 1966 ( 2) 1995 ( 0) %%% 1938 ( 0) 1967 ( 2) 1996 ( 0) %%% 1939 ( 0) 1968 ( 3) 1997 ( 1) %%% 1940 ( 0) 1969 ( 4) 1998 ( 1) %%% 1941 ( 2) 1970 ( 6) 1999 ( 3) %%% 1942 ( 0) 1971 ( 3) 2000 ( 2) %%% 1943 ( 0) 1972 ( 4) 2001 ( 4) %%% 1944 ( 1) 1973 ( 5) 2002 ( 1) %%% 1945 ( 0) 1974 ( 5) 2003 ( 4) %%% 1946 ( 0) 1975 ( 2) 2004 ( 0) %%% 1947 ( 1) 1976 ( 5) 2005 ( 4) %%% 1948 ( 1) 1977 ( 2) 2006 ( 0) %%% 1949 ( 1) 1978 ( 3) 2007 ( 1) %%% 1950 ( 7) 1979 ( 4) 2008 ( 7) %%% 1951 ( 4) 1980 ( 4) 2009 ( 3) %%% 1952 ( 5) 1981 ( 0) 2010 ( 0) %%% 1953 ( 6) 1982 ( 2) 2011 ( 3) %%% 1954 ( 1) 1983 ( 0) 2012 ( 7) %%% 1955 ( 9) 1984 ( 2) 2013 ( 4) %%% 1956 ( 3) 1985 ( 2) 2014 ( 6) %%% 1957 ( 2) 1986 ( 0) 2015 ( 8) %%% 1958 ( 2) 1987 ( 0) 2016 ( 6) %%% 1959 ( 7) 1988 ( 1) 2017 ( 10) %%% 1960 ( 1) 1989 ( 1) 2018 ( 6) %%% 1961 ( 15) 1990 ( 0) 2019 ( 7) %%% 1962 ( 3) 1991 ( 0) 2020 ( 3) %%% 1963 ( 16) 1992 ( 2) %%% %%% Article: 154 %%% Book: 23 %%% InCollection: 15 %%% InProceedings: 63 %%% PhdThesis: 1 %%% Proceedings: 3 %%% TechReport: 2 %%% %%% Total entries: 261 %%% %%% Eduard Stiefel was born in Zurich, %%% Switzerland, on 21 April 1909. He was named %%% after his father who was Professor in the %%% Kunstgewerbeschule Zuerich (School of Applied %%% Arts) and later Design Master for the %%% cantonal Gymnasium in Zurich. %%% %%% The younger Eduard Stiefel studied %%% mathematics from 1927 to 1931 at the %%% Eidgenoessische Technische Hochschule Zuerich %%% (ETH) [English: Swiss Federal Institute of %%% Technology; French: Ecole polytechnique %%% federale; Italian: Politecnico federale di %%% Zurigo]. ETH is often ranked at the top of %%% continental European universities, and among %%% the top ten in the world. %%% %%% Eduard Stiefel graduated from ETH with %%% distinction (Diplom mit Auszeichnung) in %%% 1931, and from 1932 to 1936 was an assistant %%% in the Mathematics Seminar at ETH. He earned %%% his doctorate in mathematics in 1935, his %%% Habilitation in 1942, allowing him to work as %%% a Privat-docent. From 1943 until his death %%% on 25 November 1978, he was Professor of %%% Higher Mathematics at the Institute of %%% Applied Mathematics at ETH. In 1948, he %%% became the Director of that Institute. %%% %%% Despite having worked primarily in pure %%% mathematics, Eduard Stiefel realized early %%% the coming importance of computers, and in %%% 1950, succeeded in getting one of Konrad %%% Zuse's Z4 electromechanical computing %%% machines for the Institute. Between 1953 and %%% 1956, in collaboration with his students %%% Heinz Rutishauser and Ambros Speiser, they %%% build the first Swiss electronic computer, %%% the ERMETH (Elektronische Rechenmaschine der %%% ETH), whose history is described in entry %%% Neukom:2005:EFS, and whose early programming %%% is briefly treated in entry %%% Rutishauser:1955:SPT. The ERMETH remained in %%% use until 1963, when it was replaced by a %%% commercially available computer, a CDC 1604A. %%% %%% In preparation for the ERMETH project, Eduard %%% Stiefel send Rutishauser and Speiser to the %%% USA in 1948--1949 to learn about American %%% computer developments at Harvard and %%% Princeton, and joined them between October %%% 1948 and April 1949. The main goal of the %%% ERMETH was to provide a research tool at ETH, %%% as well as to do numerical calculations for %%% Swiss industry. There was no intent to turn %%% it into a commercial line of computers. %%% %%% The design of the ERMETH was considerably %%% ahead of its time: it had 10_000 64-bit words %%% of memory, and offered 14-digit fixed-point %%% decimal arithmetic, and floating-point %%% decimal arithmetic. The latter had an %%% exponent range of +/-199. an 11-digit %%% mantissa (significand), a 1-digit flag, and a %%% 1-digit sign. In addition, it had hardware %%% support for multiple precision arithmetic: up %%% to 18 words could be grouped to hold as many %%% as 217 decimal digits, with an exponent range %%% of +/-5 * 10^{13}. Its standard mathematical %%% library included the common elementary %%% functions, plus several matrix operations, %%% among them Rutishauser's qd algorithm. %%% %%% As a personal historical note, ETH's CDC 1604A %%% was later replaced by a CDC 6400 mainframe %%% computer. It was the very machine on which %%% Niklaus Wirth developed the influential %%% Pascal programming language, and for which %%% Urs Ammann developed the first Pascal %%% compiler that generated code for the CDC %%% 6400. Later, Ken Bowles at the University of %%% California, San Diego, developed a new Pascal %%% compiler that instead generated code for a %%% virtual machine. The P-code (P for portable) %%% language was simple enough that several %%% people quickly implemented P-code translators %%% to other machine architectures, helping to %%% spread Pascal compilers, and Pascal software, %%% to the emerging personal computer market in %%% the 1970s. When Donald Knuth rewrote his TeX %%% and METAFONT systems from the PDP-10 specific %%% SAIL language, he chose Pascal to achieve %%% maximal portability at a time when the now %%% widely used C language had largely not left %%% Bell Labs, plus a few university sites that %%% were Unix licensees. The author of this %%% document worked on another CDC 6400 when %%% Pascal was being developed, and so had early %%% access to a Pascal compiler. However, he %%% found that the implementation limitations of %%% that compiler, and critical aspects of the %%% language itself, made it impossible to %%% consider switching serious large-scale %%% scientific computation from Fortran to %%% Pascal. %%% %%% Eduard Stiefel was editor of the book series, %%% Mitteilungen aus dem Institut fuer angewandte %%% Mathematik [Reports from the Institute for %%% Applied Mathematics] %%% (http://link.springer.com/bookseries/10896), %%% and co-editor of the book series Handbook for %%% Automatic Computation %%% (http://link.springer.com/bookseries/13266). %%% %%% In 1952, in collaboration with Magnus %%% Hestenes, Eduard Stiefel introduced the %%% method of conjugate gradients for solving %%% linear systems (see entry Hestenes:1952:MCG, %%% and entry Cipra:2000:BCE for the important %%% role it has played as one of the top computer %%% algorithms of the 20th Century). %%% %%% Besides his university teaching and research %%% activities, Eduard Stiefel also served as a %%% Zurich city councilman (1958--1966), and was %%% a colonel in the Swiss army during World War %%% II (in which Switzerland remained neutral). %%% %%% Web sites about Eduard Stiefel and ETH %%% include at least these: %%% %%% https://de.wikipedia.org/wiki/ERMETH %%% https://de.wikipedia.org/wiki/Eduard_Stiefel %%% https://dl.acm.org/profile/99658675223 %%% https://en.wikipedia.org/wiki/ERMETH %%% https://en.wikipedia.org/wiki/ETH_Zurich %%% https://en.wikipedia.org/wiki/Eduard_Stiefel %%% https://fr.wikipedia.org/wiki/Eduard_Stiefel %%% https://genealogy.math.ndsu.nodak.edu/id.php?id=21648 %%% https://hls-dhs-dss.ch/de/articles/031672/2010-11-29/ %%% https://hls-dhs-dss.ch/fr/articles/031672/2010-11-29/ %%% https://hls-dhs-dss.ch/it/articles/031672/2010-11-29/ %%% https://it.wikipedia.org/wiki/Eduard_Stiefel %%% https://mathshistory.st-andrews.ac.uk/Biographies/Stiefel/ %%% https://www.researchgate.net/scientific-contributions/2053826034-Eduard-Stiefel %%% https://www.worldcat.org/identities/lccn-n80119463/ %%% %%% According to the Mathematics Genealogy %%% Project, Eduard Stiefel had 63 students, and %%% as of 2 September 2020, 955 academic %%% descendants. %%% %%% Data for this bibliography have been %%% extracted primarily from the bibliography %%% archives of the BibNet Project and the TeX %%% User Group, with contributions from the %%% Elsevier ScienceDirect, JSTOR, MathSciNet, %%% Springer, Wiley, and zbMath databases. %%% %%% Spelling has been verified with the UNIX %%% spell and GNU ispell programs using the %%% exception dictionary stored in the companion %%% file with extension .sok. %%% %%% BibTeX citation tags are uniformly chosen %%% as name:year:abbrev, where name is the %%% family name of the first author or editor, %%% year is a 4-digit number, and abbrev is a %%% 3-letter condensation of important title %%% words. Citation tags were automatically %%% generated by software developed for the %%% BibNet Project. %%% %%% In this bibliography, entries are sorted %%% first by ascending year, and within each %%% year, alphabetically by author or editor, %%% and then, if necessary, by the 3-letter %%% abbreviation at the end of the BibTeX %%% citation tag, using the bibsort -byyear %%% utility. Cross-referenced proceedings %%% entries appear at the end, because of a %%% restriction in the current BibTeX. %%% %%% The checksum field above contains a CRC-16 %%% checksum as the first value, followed by the %%% equivalent of the standard UNIX wc (word %%% count) utility output of lines, words, and %%% characters. This is produced by Robert %%% Solovay's checksum utility.", %%% } %%% ==================================================================== @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" } %%% ==================================================================== %%% Institution abbreviations: @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"} %%% ==================================================================== %%% Journal abbreviations: @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-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-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-J-ACM = "Journal of the ACM"} @String{j-J-COMPUT-APPL-MATH = "Journal of Computational and Applied Mathematics"} @String{j-J-COMPUT-PHYS = "Journal of Computational Physics"} @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-NUMER-ALGORITHMS = "Numerical Algorithms"} @String{j-QUART-APPL-MATH = "Quarterly of 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}"} %%% ==================================================================== %%% Publisher abbreviations: @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-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-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-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"} %%% ==================================================================== %%% Series abbreviations: %%% ==================================================================== %%% Part 1 (of 2) --- Publications by Eduard Stiefel %%% %%% Entries are sorted by year, and then by citation label: @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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib; http://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 = "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 = "http://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib; http://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 = "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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib; http://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 = "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 = "http://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib; http://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 = "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 = "http://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib; http://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 = "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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib; http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/p/pauli-wolfgang.bib; http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib; http://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 = "http://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 = "http://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 = "http://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", } @Article{Stiefel:1958:KPL, author = "Eduard L. Stiefel", title = "Kernel polynomials in linear algebra and their numerical applications", journal = "National Bureau of Standards. Applied Mathematics Series", volume = "49", 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 = "http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib", acknowledgement = ack-nhfb, ajournal = "Nat. Bur. Standards Appl. Math. Ser.", author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)", fjournal = "National Bureau of Standards. Applied Mathematics Series", } @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 = "http://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib; http://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 = "http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://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", booktitle = "On numerical approximation. {Proceedings of a Symposium, Madison, April 21--23, 1958}", title = "Numerical methods of {Tchebycheff} approximation", publisher = "The University of Wisconsin Press", address = "Madison, WI, USA", 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 = "http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib", series = "Edited by R. E. Langer. Publication no. 1 of the Mathematics Research Center, U.S. Army, the University of Wisconsin", 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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/b/bauer-friedrich-ludwig.bib; http://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib; http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib; http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/henrici-peter.bib; http://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 = "http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://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 = "http://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 = "http://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; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib; http://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; http://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib; http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://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 = "http://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 = "http://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; http://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 = "http://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; http://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib; http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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", } %%% ==================================================================== %%% Part 2 (of 2) --- Publications about Eduard Stiefel and/or his %%% works. %%% %%% Eduard Stiefel's work in pure mathematics is widely cited. The %%% MathSciNet database records at least 560 publications with his name %%% in their titles, and the zbMATH database has at least 520. A Web %%% search for "Stiefel-Whitney" finds about 404,000 matches. %%% Consequently, this section of this bibliography can only give a %%% flavor of some of his large influence on mathematics and %%% computation. %%% %%% Entries are sorted by year, and then by citation label: @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 = "http://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{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 = "http://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib; http://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 = "http://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://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 = "http://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib; http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/hamming-richard-w.bib; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://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; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html", 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 = "http://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 = "http://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; http://www.math.utah.edu/pub/bibnet/authors/b/bauer-friedrich-ludwig.bib; http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; http://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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; http://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; http://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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; http://www.math.utah.edu/pub/bibnet/authors/b/bauer-friedrich-ludwig.bib; http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; http://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://www.math.utah.edu/pub/tex/bib/compj.bib; http://www.math.utah.edu/pub/tex/bib/compj1970.bib; http://www3.oup.co.uk/computer_journal/hdb/Volume_14/Issue_04/", 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/; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib; http://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://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; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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/; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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/; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://www.math.utah.edu/pub/bibnet/authors/b/bauer-friedrich-ludwig.bib; http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/henrici-peter.bib; http://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{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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/s/saad-yousef.bib; http://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 = "http://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{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/; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://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)", } @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/; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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/; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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/; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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{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; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://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{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 = "http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://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{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/; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://www.math.utah.edu/pub/tex/bib/canjmath.bib; http://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; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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{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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; http://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib; http://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://www.math.utah.edu/pub/bibnet/authors/t/tukey-john-w.bib; http://www.math.utah.edu/pub/bibnet/authors/u/ulam-stanislaw-m.bib; http://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://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)", } @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 = "http://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{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 = "http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://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 = "http://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{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 = "http://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; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://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{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 = "http://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", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?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; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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)", } @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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://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 = "http://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 = "http://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{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 = "http://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 = "http://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 = "http://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; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://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 = "http://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 = "http://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{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 = "http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://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; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://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{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; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://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 = "http://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 = "http://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{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://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://www.math.utah.edu/pub/tex/bib/numlinaa.bib; http://www3.interscience.wiley.com/journalfinder.html", 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 = "http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://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; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://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 = "http://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{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 = "http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://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 = "http://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{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 = "http://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{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; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://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 = "http://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{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; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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{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 = "http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://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 = "http://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 = "http://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{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; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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)", } @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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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{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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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)", } @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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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)", } @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 = "http://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{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; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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 = "http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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", } %%% ==================================================================== %%% Cross-referenced entries must come last: %%% %%% Entries are sorted by year, and then by citation label: @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; http://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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{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 = "http://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 = "http://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; http://www.math.utah.edu/pub/bibnet/authors/b/bauer-friedrich-ludwig.bib; http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; http://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib; http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib", series = "Handbook for Automatic Computation", URL = "http://link.springer.com/article/10.1007/978-3-642-86934-1; 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); 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); Eduard Stiefel (21 April 1909--25 November 1978)", tableofcontents = "IL Introduction \\ 1. The Concept of Automatic Programming \\ 2. Historical Remarks on Algorithmic Languages \\ 3. The Algol Conferences of 1958, 1960, 1962 \\ 4. Algol Dialects and the IFIP Subset of Algol 60 \\ 5. Preliminary Definition of Algol \\ II: Basic Concepts \\ 6. Auxiliary Conventions \\ 7. The Basic Symbols of Algol \\ 8. Values \\ 9. Quantities and their Names \\ 10. Numerical Constants \\ 11. Labels \\ 12. Strings \\ 13. Comments \\ III: Expressions \\ 14. Variables \\ 15. Function Designators \\ 16. Simple Arithmetic Expressions \\ 17. Relations \\ 18. Simple Boolean Expressions \\ 19. Conditional Expressions \\ 20. Subscript Expressions \\ IV: Statements \\ 21. Assignment Statements \\ 22. Sequences of Statements \\ 23. Labelled Statements \\ 24. The Dummy Statement \\ 25. Goto-Statements \\ 26. Procedure Statements I \\ 27. Compound Statements and Blocks \\ 28. The If-Statement \\ 29. The If-Else-Statement \\ 30. The For-Statement \\ V: Miscellaneous Applications \\ 31. Algebraic Problems \\ 32. Interpolation and Numerical Quadrature \\ 33. Numerical Integration of Differential Equations \\ 34. Least Square Problems \\ 35. Computations Related to Continued Fractions \\ 36. Considerations Concerning Computer Limitations \\ 37. Data Processing Applications \\ VI: Declarations \\ 38. Type Declarations \\ 39. Array Declarations \\ 40. Switch Declarations \\ 41. Procedure Declarations I \\ 42. Semantics of Blocks \\ 43. Entire Programs \\ VII: Procedures \\ 44. Procedure Declarations II \\ 45. Procedure Statements II \\ 46. Function Procedures and their Use \\ 47. Code Procedures \\ 48. Parameter Procedures \\ VIII: Input and Output \\ 49. The Standard I/O-Procedures of Algol \\ 50. Applications of Procedures insymbol, outsymbol \\ 51. Use of inarray, outarray for Auxiliary Storage \\ Appendix A \\ 52. The Jensen Device \\ 52.1. The full name-concept \\ 52.2. The Jensen device \\ 52.3. Bound variables \\ 53. Conclusion \\ 53.1. Church's lambda notation \\ 53.2. The lambda notation for arrays \\ 53.3. Syntax of the proposed extension \\ 53.4. Semantics of the proposed extension \\ 53.5. Applications of the proposed extension \\ Appendix B. The IFIP-Reports on Algol \\ References", 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; http://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; http://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", } @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 = "http://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; http://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", }