%%====================================================================== %% WARNING: Do NOT edit this file. It was produced automatically %% with the UNIX pipeline %% %% biblex xxx.bib | \ %% gawk -f keywords.awk | \ %% egrep 'entrytype$' | \ %% gawk -f fmtwords.awk >xxx.xwx %% %% by beebe@gamma.math.utah.edu on Thu Nov 30 07:56:22 MST 2023 %%====================================================================== \ifx \NAMECITE \undefined % User can override this definition \def \NAMECITE #1#2{{\bf #1} \cite{#2}} \fi \NAMECITE{$1$}{% Cheng:2001:ILB,% Cheng:2001:PIB,% Higham:2000:BAM% }. \NAMECITE{$2$}{% Higham:2014:HOF% }. \NAMECITE{$ 3 \times 3 $}{% Higham:2016:ACP% }. \NAMECITE{\$57.00}{% Higham:2005:BRS% }. \NAMECITE{$^T$}{% Higham:1999:SBL% }. \NAMECITE{$a$}{% Corless:2007:SEA% }. \NAMECITE{$ {\bf A}^\alpha, \ \log ({\bf A}) $}{% Hale:2008:CRM% }. \NAMECITE{$ A X - X B = C $}{% Higham:1992:PTB,% Higham:1993:PTBa,% Higham:1993:PTBb% }. \NAMECITE{$ C_n(x) $}{% Higham:1993:CCL,% Higham:1996:CCL,% Higham:1997:CCL% }. \NAMECITE{$f$}{% Davies:2005:CMF% }. \NAMECITE{$ f({A})b $}{% Davies:2005:CMF% }. \NAMECITE{$J$}{% Higham:2003:OMP% }. \NAMECITE{$ L U $}{% Demmel:1995:SBF,% Fasi:2021:MTI,% Higham:2021:RMG,% Higham:2022:SBL% }. \NAMECITE{$ \mathrm {LDL^T} $}{% Higham:1997:SBF% }. \NAMECITE{$p$}{% Bini:2005:AMR,% Guo:2006:SNM,% Higham:1992:EMN,% Higham:2011:RSM% }. \NAMECITE{$ Q R $}{% Cox:1997:SHQ,% Higham:1990:IRE,% Higham:1991:IRE,% Higham:1998:FCP,% Higham:2000:FCP,% Higham:2003:SPS% }. \NAMECITE{$ S_n(x) $}{% Higham:1993:CCL,% Higham:1996:CCL,% Higham:1997:CCL% }. \NAMECITE{$ s \exp (s) = a $}{% Corless:2007:SEA% }. \NAMECITE{$ {W} $}{% Corless:2007:SEA,% Fasi:2015:AML% }. \NAMECITE{-Norm}{% Cheng:2001:ILB,% Cheng:2001:PIB,% Higham:2000:BAM,% Higham:1992:EMN% }. \NAMECITE{{}-Orthogonal}{% Higham:2003:OMP% }. \NAMECITE{-th}{% Higham:2011:RSM% }. \NAMECITE{{0}}{% Higham:2005:BRS% }. \NAMECITE{0-471-11111-2}{% Higham:1999:BRL% }. \NAMECITE{{0-89871-561-X}}{% Higham:2005:BRS% }. \NAMECITE{100-Digit}{% Higham:2005:BRS% }. \NAMECITE{17th}{% Higham:1998:NAP% }. \NAMECITE{{1986}}{% Iserles:1987:SAN% }. \NAMECITE{{1992}}{% Moonen:1993:LAL% }. \NAMECITE{{1997}}{% Higham:1998:NAP% }. \NAMECITE{{2017}}{% Burgess:2017:ISC% }. \NAMECITE{24th}{% Burgess:2017:ISC% }. \NAMECITE{60th}{% Higham:1992:IWP% }. \NAMECITE{{679}}{% Dongarra:1990:ASL% }. \NAMECITE{'98}{% Ainsworth:1999:GSG% }. \NAMECITE{accelerate}{% Haidar:2020:MPI% }. \NAMECITE{Accelerating}{% Carson:2018:ASL% }. \NAMECITE{acceleration}{% Higham:2016:AAA% }. \NAMECITE{Accuracy}{% Cox:1997:ASN,% Cox:1999:ASN,% Higham:1989:AST,% Higham:1996:ASN,% Higham:1998:NAS,% Higham:1999:NAS,% Higham:2002:ASN,% Higham:2005:BRS,% Cheng:2000:ALM,% Cheng:2001:ALM,% Higham:1993:AFP% }. \NAMECITE{Accurate}{% Blanchard:2020:CFA,% Higham:1990:HAG,% Higham:1998:FCP,% Carson:2017:NAI,% Higham:2000:FCP,% Higham:2000:QFC% }. \NAMECITE{Accurately}{% Blanchard:2021:ACL% }. \NAMECITE{Acta}{% Higham:1996:RAN% }. \NAMECITE{Action}{% Al-Mohy:2011:CAM,% Higham:2017:CAT,% Fischer:2017:AAM% }. \NAMECITE{Adaptive}{% Anzt:2019:APB% }. \NAMECITE{Add}{% Blanchard:2019:MPB,% Blanchard:2020:MPB% }. \NAMECITE{Advanced}{% Moonen:1993:LAL% }. \NAMECITE{{Again}}{% Higham:1998:NWE% }. \NAMECITE{{Al}}{% Fischer:2017:AAM% }. \NAMECITE{{Al-Mohy}}{% Fischer:2017:AAM% }. \NAMECITE{Alan}{% Higham:2006:RAJ% }. \NAMECITE{Algebra}{% Abdelfattah:2021:SBB,% Dongarra:1990:ASL,% Hammarling:2022:ICJ,% Higham:1985:NPN,% Higham:1987:NLA,% Higham:1994:SCPa,% Higham:1994:SCPb,% Higham:1995:RHA,% Higham:1997:RDD,% Higham:1997:TLA,% Higham:1998:NAS,% Higham:1999:BRL,% Higham:1999:FBR,% Higham:2000:RJJ,% Higham:2001:PEC,% Hogben:2007:HLA,% Moonen:1993:LAL,% Higham:2020:SPB,% Higham:2022:MPA,% Meyer:1993:LAM,% Higham:1999:RPD% }. \NAMECITE{Algebraic}{% Brown:2007:PIS,% Guo:2007:ISN% }. \NAMECITE{Algorithm}{% Al-Mohy:2010:NSS,% Balle:1993:STM,% Cheng:1996:MCA,% Cheng:1998:MCA,% Cheng:2001:ILB,% Cheng:2001:PIB,% Davies:2003:SPA,% Guo:2010:IAA,% Higham:1988:AFC,% Higham:1991:ACT,% Higham:1994:NPA,% Higham:1994:PAC,% Higham:2000:BAM,% Higham:2003:SPS,% Higham:2011:SPA,% Higham:2021:MDF,% Al-Mohy:2009:NSS,% Borsdorf:2010:PNA,% Fasi:2015:AML,% Fasi:2019:APS,% Fischer:2017:AAM,% Guo:2009:IAA,% Higham:2013:ISP,% Higham:2016:ACP,% Dongarra:1990:ASL,% Higham:1989:CFC% }. \NAMECITE{Algorithms}{% Al-Mohy:2012:IIS,% Aprahamian:2016:MIT,% Bini:2005:AMR,% Blanchard:2020:CFA,% Deadman:2016:TMF,% Demmel:1990:SBA,% Demmel:1992:SBA,% Higham:1986:EAC,% Higham:1987:EAB,% Higham:1990:SAA,% Higham:1996:ASN,% Higham:1998:NAS,% Higham:1999:NAS,% Higham:2002:ASN,% Higham:2006:RMC,% Nakatsukasa:2013:SES,% Al-Mohy:2015:NAC,% Bojanczyk:2003:ECI,% Dongarra:2020:NAH,% Fasi:2018:MAC,% Hargreaves:2005:EAM,% Higham:2022:MPA,% Higham:1996:RDB% }. \NAMECITE{Alley}{% Higham:2001:RMA% }. \NAMECITE{alternating}{% Higham:2016:AAA% }. \NAMECITE{always}{% Corless:2007:SEA% }. \NAMECITE{Analysis}{% Ainsworth:1999:GSG,% Blanchard:2019:MPB,% Davies:2001:ACM,% Higham:1987:EAB,% Higham:1990:ACD,% Higham:1990:SAA,% Higham:1993:CEA,% Higham:1997:RJR,% Higham:1998:BNR,% Higham:1999:NAS,% Higham:2006:RAJ,% Higham:2019:NAP,% Iserles:1987:SAN,% Trefethen:2009:DHP,% Bethune:2014:PAA,% Blanchard:2020:MPB,% Carson:2017:NAI,% Connolly:2021:SRP,% Duff:1997:SAN,% Higham:1993:PTBb,% Higham:1998:NAP,% Higham:2000:NAQ,% Higham:2020:SPB,% Ainsworth:1999:GSG,% Higham:2002:RAN% }. \NAMECITE{Analyst}{% Higham:1999:FTP% }. \NAMECITE{analyzing}{% Grammont:2011:FAN% }. \NAMECITE{{Anderson}}{% Higham:2016:AAA% }. \NAMECITE{Anonymous}{% Higham:1992:JAF% }. \NAMECITE{Anton}{% Higham:1995:RHA% }. \NAMECITE{{Anymatrix}}{% Higham:2022:AEM% }. \NAMECITE{Appl.}{% Higham:1993:CCL,% Higham:1996:CCL,% Higham:1997:CCL% }. \NAMECITE{Application}{% Al-Mohy:2009:CFD,% Al-Mohy:2011:CAM,% Blanchard:2019:MPB,% Higham:2000:BAM,% Higham:2016:RDS,% Higham:2019:SMH,% Al-Mohy:2008:CFD,% Aprahamian:2014:MUF,% Blanchard:2020:MPB,% Carson:2017:NAI,% Georgescu:2018:ESC% }. \NAMECITE{Applications}{% Higham:1986:CPD,% Higham:1988:AFC,% Higham:1989:CFC,% Higham:1989:MNP,% Higham:1990:RMJ,% Higham:1995:RHA,% Higham:2007:MFA,% Meyer:1993:LAM,% Moonen:1993:LAL,% Tisseur:2002:SPP,% Higham:2002:MPP,% Tisseur:2001:SPP,% Higham:2006:RMC% }. \NAMECITE{Applied}{% Graham:2004:UAC,% Higham:1999:BRL,% Higham:2000:RJJ,% Higham:2002:RMO,% Higham:2015:PCA,% Meyer:1993:LAM,% Higham:2014:SIA% }. \NAMECITE{Applied/Computational}{% Graham:2004:UAC% }. \NAMECITE{Approach}{% Higham:2019:NAP,% Anjos:2001:SPA% }. \NAMECITE{approximants}{% Higham:2001:EPA% }. \NAMECITE{Approximating}{% Cheng:2000:ALM,% Cheng:2001:ALM% }. \NAMECITE{approximation}{% Al-Mohy:2010:CSA% }. \NAMECITE{Approximations}{% Higham:2019:NPE% }. \NAMECITE{April}{% Iserles:1987:SAN% }. \NAMECITE{Arbitrary}{% Higham:1990:FPD,% Fasi:2019:APS% }. \NAMECITE{Arc}{% Guo:2010:IAA,% Guo:2009:IAA% }. \NAMECITE{Arising}{% Higham:1996:MIM,% Higham:1998:MIM% }. \NAMECITE{ARITH}{% Burgess:2017:ISC% }. \NAMECITE{Arithmetic}{% Burgess:2017:ISC,% Higham:1991:TMP,% Higham:1995:MPF,% Higham:2002:RMO,% Higham:2017:RMA,% Higham:2018:HPA,% Higham:2019:SLP,% Haidar:2018:HGT,% Higham:2021:ELP% }. \NAMECITE{Arnold}{% Higham:2002:RAN% }. \NAMECITE{Art}{% Iserles:1987:SAN,% Duff:1997:SAN% }. \NAMECITE{associated}{% Higham:2002:DDH% }. \NAMECITE{asynchronous}{% Bethune:2014:PAA% }. \NAMECITE{August}{% Brown:2007:PIS,% Moonen:1993:LAL% }. \NAMECITE{Backward}{% Cox:1998:BEB,% Cox:1998:RWB,% Cox:1999:BEB,% Cox:2000:RWB,% Higham:1992:BEC,% Higham:1992:PTB,% Higham:1996:SBE,% Higham:1998:SBE,% Higham:1999:SBE,% Higham:2007:BEP,% Higham:2008:BEP,% Nakatsukasa:2012:BSI,% Connolly:2021:SRP,% Higham:1993:PTBa,% Higham:1993:PTBb,% Higham:2020:SPB% }. \NAMECITE{{Baker}}{% Higham:2017:CHB% }. \NAMECITE{Baltimore}{% Higham:1990:RGH% }. \NAMECITE{Barnett}{% Higham:1990:RMJ% }. \NAMECITE{barycentric}{% Higham:2004:NSB% }. \NAMECITE{Based}{% Cheng:1996:MCA,% Cheng:1998:MCA,% Aprahamian:2016:MEB,% Carson:2020:TPG,% Sukkari:2019:QBS% }. \NAMECITE{Basic}{% Abdelfattah:2021:SBB,% Dongarra:1990:ASL,% Higham:2020:SPB,% Higham:1985:MCB,% Higham:1986:MCB% }. \NAMECITE{Batched}{% Abdelfattah:2021:SBB% }. \NAMECITE{Behavior}{% Higham:1993:FPB,% Higham:2007:RLT% }. \NAMECITE{Belgium}{% Moonen:1993:LAL% }. \NAMECITE{bfloat16}{% Higham:2018:HPA% }. \NAMECITE{Biennial}{% Higham:1998:NAP% }. \NAMECITE{Bini}{% Higham:1996:RDB% }. \NAMECITE{Birkh{\"a}user}{% Higham:1996:RDB% }. \NAMECITE{Birmingham}{% Iserles:1987:SAN% }. \NAMECITE{Birthday}{% Higham:1992:IWP% }. \NAMECITE{{Bj{\"o}rck}}{% Higham:1987:EAB% }. \NAMECITE{{BLAS}}{% Dayde:1994:PBI,% Demmel:1990:SBA,% Demmel:1992:SBA,% Higham:1990:EFM% }. \NAMECITE{Block}{% Blanchard:2019:MPB,% Cheng:2001:ILB,% Cheng:2001:PIB,% Dayde:1994:PBI,% Demmel:1990:SBA,% Demmel:1992:BLF,% Demmel:1992:SBA,% Demmel:1995:SBF,% Higham:1997:SBF,% Higham:2000:BAM,% Higham:2016:RDS,% Anzt:2019:APB,% Blanchard:2020:MPB,% Higham:1999:SBL,% Higham:2022:SBL% }. \NAMECITE{block-{Jacobi}}{% Anzt:2019:APB% }. \NAMECITE{{Bohemian}}{% Higham:2018:RAB% }. \NAMECITE{Book}{% Higham:1998:BNR,% Higham:1999:BRL,% Higham:1999:FBR,% Higham:2005:BRS% }. \NAMECITE{Books}{% Higham:1999:FBR% }. \NAMECITE{Bornemann}{% Higham:2005:BRS% }. \NAMECITE{Bounding}{% Higham:1990:BEG% }. \NAMECITE{Bounds}{% Cox:1998:BEB,% Demmel:1990:IEB,% Demmel:1993:IEB,% Higham:1990:CEB,% Higham:2001:BEM,% Higham:2003:BEM,% Higham:2016:BDN,% Cox:1999:BEB,% Higham:1983:UBC% }. \NAMECITE{Bruaset}{% Higham:1996:RMB% }. \NAMECITE{Bur.}{% Higham:1993:CCL,% Higham:1996:CCL,% Higham:1997:CCL% }. \NAMECITE{C}{% Higham:1990:RGH,% Higham:1990:RMJ,% Higham:1993:CCL,% Higham:1996:CCL,% Higham:1997:CCL,% Higham:2000:RJJ% }. \NAMECITE{Cambridge}{% Higham:1996:RAN,% Higham:2002:RAN% }. \NAMECITE{{Canada}}{% Brown:2007:PIS% }. \NAMECITE{Canonical}{% Higham:2010:CGP,% Higham:2009:CGP% }. \NAMECITE{{Cayley}}{% Higham:2008:CSE% }. \NAMECITE{Celebrating}{% Hammarling:2019:CJH% }. \NAMECITE{centrality}{% Aprahamian:2016:MEB% }. \NAMECITE{{CERFACS}}{% Hammarling:1993:CHW% }. \NAMECITE{chains}{% Meyer:1993:LAM% }. \NAMECITE{Challenge}{% Higham:2005:BRS% }. \NAMECITE{Chebyshev}{% Higham:1993:CCL,% Higham:1996:CCL,% Higham:1997:CCL% }. \NAMECITE{{Cholesky}}{% Cheng:1996:MCA,% Cheng:1998:MCA,% Davies:2001:ACM,% Higham:1990:ACD% }. \NAMECITE{Chris}{% Higham:1995:RHA% }. \NAMECITE{Christoph}{% Higham:1998:BNR% }. \NAMECITE{{Christopher}}{% Higham:2017:CHB% }. \NAMECITE{Chu}{% Higham:2006:RMC% }. \NAMECITE{Class}{% Blanchard:2020:CFA% }. \NAMECITE{{Cleve}}{% Higham:1999:FTP% }. \NAMECITE{closest}{% Anjos:2001:SPA% }. \NAMECITE{Codes}{% Higham:1988:AFC,% Higham:1989:CFC% }. \NAMECITE{Collection}{% Higham:1989:CTM,% Higham:1991:ACT,% Betcke:2013:NCN,% Higham:2022:AEM% }. \NAMECITE{Commentaries}{% Chan:2007:MMC% }. \NAMECITE{Commentary}{% Higham:2007:MFA,% Higham:1993:CCL,% Higham:1996:CCL,% Higham:1997:CCL% }. \NAMECITE{Companion}{% Higham:2015:PCA% }. \NAMECITE{Complete}{% Higham:1998:FCP,% Higham:2000:FCP,% Higham:2000:QFC% }. \NAMECITE{completion}{% Georgescu:2018:ESC% }. \NAMECITE{Complex}{% Higham:1988:AFC,% Higham:1989:CFC,% Higham:1992:SMM,% Higham:1996:FCS,% Al-Mohy:2010:CSA,% Higham:1998:FCS% }. \NAMECITE{Componentwise}{% Higham:1992:CPT,% Higham:1993:CEA,% Higham:1994:SCPa,% Higham:1994:SCPb% }. \NAMECITE{Computation}{% Brown:2007:PIS,% Chan:2007:MMC,% Higham:1998:BNR,% Higham:1998:FCP,% Higham:2002:MCT,% Higham:2008:FMT,% Higham:2015:MCT,% Higham:2000:FCP,% Higham:2000:QFC% }. \NAMECITE{Computational}{% Graham:2004:UAC,% Dongarra:2020:NAH% }. \NAMECITE{Computations}{% Hammarling:1993:CHW,% Higham:1985:MCB,% Higham:1986:MCB,% Higham:1989:MCP,% Higham:1990:RGH,% Higham:1993:ODS,% Higham:1996:RDB% }. \NAMECITE{compute}{% Higham:2016:ACP% }. \NAMECITE{Computer}{% Burgess:2017:ISC% }. \NAMECITE{{Computers}}{% Higham:2000:RJJ% }. \NAMECITE{Computing}{% Al-Mohy:2008:CFD,% Al-Mohy:2009:CFD,% Al-Mohy:2011:CAM,% Al-Mohy:2013:CFD,% Borsdorf:2010:CNC,% Braconnier:1995:CFV,% Braconnier:1996:CFV,% Davies:2003:SPA,% Davies:2005:CMF,% Hale:2008:CRM,% Higham:1986:CPD,% Higham:1986:EAC,% Higham:1987:CRS,% Higham:1987:NLA,% Higham:1988:CNS,% Higham:1990:CEB,% Higham:1994:NPA,% Higham:1994:PAC,% Higham:2002:CNC,% Higham:2002:RMO,% Higham:2003:CMC,% Higham:2004:CPD,% Higham:2005:BRS,% Higham:2010:CMF,% Higham:2017:CAT,% Higham:2021:MDF,% Nadukandi:2018:CWK,% Nakatsukasa:2012:BSI,% Trefethen:2009:DHP,% Al-Mohy:2015:NAC,% Aprahamian:2014:MUF,% Blanchard:2021:ACL,% Fasi:2018:MAC,% Fischer:2017:AAM,% Higham:2016:AAA% }. \NAMECITE{Computing/Numerical}{% Trefethen:2009:DHP% }. \NAMECITE{Condition}{% Al-Mohy:2009:CFD,% Fasi:2021:MTI,% Higham:1983:MCN,% Higham:1986:EAC,% Higham:1987:SCN,% Higham:1988:AFC,% Higham:1989:CFC,% Higham:1992:BEC,% Higham:1996:SBE,% Higham:1998:SBE,% Higham:1999:SBE,% Higham:2014:HOF,% Al-Mohy:2008:CFD,% Al-Mohy:2013:CFD,% Fasi:2021:GES,% Higham:1983:UBC,% Higham:2014:ECN% }. \NAMECITE{conditioned}{% Carson:2017:NAI% }. \NAMECITE{Conditioning}{% Higham:2006:CLM% }. \NAMECITE{Conference}{% Higham:1998:NAP,% Higham:2001:PEC,% Iserles:1987:SAN% }. \NAMECITE{Confluent}{% Higham:1990:SAA% }. \NAMECITE{{Connection}}{% Balle:1993:STM% }. \NAMECITE{Conquer}{% Nakatsukasa:2013:SES% }. \NAMECITE{Constrained}{% Cox:1997:ASN,% Cox:1998:BEB,% Cox:1998:RWB,% Cox:1999:ASN,% Cox:2000:RWB,% Bojanczyk:2003:ECI,% Cox:1999:BEB% }. \NAMECITE{Continuation}{% Braconnier:1995:CFV,% Braconnier:1996:CFV% }. \NAMECITE{contour}{% Hale:2008:CRM% }. \NAMECITE{Contribution}{% Hammarling:2022:ICJ% }. \NAMECITE{control}{% Higham:2002:MPP% }. \NAMECITE{Cores}{% Blanchard:2019:MPB,% Blanchard:2020:MPB,% Haidar:2018:HGT,% Haidar:2020:MPI% }. \NAMECITE{Correlation}{% Borsdorf:2010:CNC,% Davies:2000:NSG,% Higham:2016:BDN,% Higham:2016:RDS,% Anjos:2001:SPA,% Borsdorf:2010:PNA,% Georgescu:2018:ESC,% Higham:2002:CNC,% Higham:2016:AAA% }. \NAMECITE{Corrigendum}{% Higham:1989:CFC% }. \NAMECITE{Cosine}{% Higham:2003:CMC,% Al-Mohy:2015:NAC,% Hargreaves:2005:EAM% }. \NAMECITE{Course}{% Higham:2015:MFS% }. \NAMECITE{Covariance}{% Lin:2014:CSR% }. \NAMECITE{Craft}{% Higham:2001:RMA% }. \NAMECITE{D}{% Higham:1999:BRL,% Higham:1999:RPD% }. \NAMECITE{Danny}{% Higham:2000:RJJ% }. \NAMECITE{Dario}{% Higham:1996:RDB% }. \NAMECITE{data}{% Higham:2018:TFD,% Higham:2020:SPB% }. \NAMECITE{Decomposition}{% Higham:1986:CPD,% Higham:1990:ACD,% Higham:1990:FPD,% Higham:1993:PSV,% Higham:1994:MSD,% Higham:1994:NPA,% Higham:1994:PAC,% Higham:2004:CPD,% Higham:2010:CGP,% Nakatsukasa:2012:BSI,% Nakatsukasa:2013:SES,% Higham:2009:CGP,% Higham:2016:ACP% }. \NAMECITE{Definite}{% Cheng:1998:NDP,% Davies:2001:ACM,% Guo:2010:IAA,% Higham:1996:FCS,% Higham:2009:DMP,% Cheng:1999:NDP,% Guo:2009:IAA,% Higham:1990:ACD,% Higham:1998:FCS,% Higham:2002:DDH,% Higham:2021:ELP% }. \NAMECITE{Definiteness}{% Higham:2016:RDS% }. \NAMECITE{Dense}{% Higham:1997:RDD% }. \NAMECITE{Derivative}{% Al-Mohy:2009:CFD,% Higham:2021:MDF,% Al-Mohy:2008:CFD,% Al-Mohy:2010:CSA,% Al-Mohy:2013:CFD,% Higham:2014:ECN% }. \NAMECITE{Derivative-Free}{% Higham:2021:MDF% }. \NAMECITE{Derivatives}{% Higham:2014:HOF,% Higham:2013:ISP% }. \NAMECITE{Detecting}{% Guo:2008:DSH,% Guo:2009:DSH,% Guo:2010:IAA,% Higham:2002:DDH,% Guo:2009:IAA% }. \NAMECITE{Developing}{% Trefethen:2009:DHP% }. \NAMECITE{Developments}{% Higham:1997:RDD% }. \NAMECITE{Diagonal}{% Higham:1995:DPS,% Higham:1995:SDP,% Higham:1997:SDP% }. \NAMECITE{Dictionary}{% Higham:1994:WDM% }. \NAMECITE{difference}{% Higham:2018:DD% }. \NAMECITE{Differentiation}{% Higham:2018:DD% }. \NAMECITE{Digit}{% Higham:2005:BRS% }. \NAMECITE{Direct}{% Higham:1993:ODS% }. \NAMECITE{Dirk}{% Higham:2005:BRS% }. \NAMECITE{Distance}{% Higham:2016:BDN% }. \NAMECITE{Distributed}{% Sukkari:2019:QBS% }. \NAMECITE{Distributed-memory}{% Sukkari:2019:QBS% }. \NAMECITE{Divide}{% Nakatsukasa:2013:SES% }. \NAMECITE{Dongarra}{% Higham:2000:RJJ,% Hammarling:2022:ICJ% }. \NAMECITE{Duff}{% Higham:2000:RJJ% }. \NAMECITE{Dundee}{% Higham:1998:NAP% }. \NAMECITE{early}{% Higham:2008:CSE% }. \NAMECITE{Editing}{% Higham:2001:RMA% }. \NAMECITE{Edition}{% Higham:1990:RGH,% Higham:1995:RHA% }. \NAMECITE{eds}{% Higham:1990:RMJ% }. \NAMECITE{Efficient}{% Hargreaves:2005:EAM,% Higham:1986:EAC,% Nakatsukasa:2013:SES% }. \NAMECITE{Eigenproblem}{% Davies:2001:ACM% }. \NAMECITE{Eigenproblems}{% Higham:2008:BEP,% Grammont:2011:FAN,% Higham:2007:BEP% }. \NAMECITE{Eigenvalue}{% Cheng:1998:NDP,% Guo:2009:DSH,% Higham:1996:SBE,% Higham:1998:SBE,% Higham:1999:SBE,% Higham:2006:RMC,% Nakatsukasa:2013:SES,% Tisseur:2002:SPP,% Betcke:2013:NCN,% Cheng:1999:NDP,% Guo:2008:DSH,% Higham:2002:DDH,% Higham:2002:MPP,% Higham:2008:SSS,% Tisseur:2001:SPP% }. \NAMECITE{Eigenvalues}{% Higham:2001:BEM,% Higham:2003:BEM% }. \NAMECITE{{Eighth}}{% Higham:2001:PEC% }. \NAMECITE{Elementary}{% Higham:1995:RHA% }. \NAMECITE{Elements}{% Higham:2016:ELE% }. \NAMECITE{Elimination}{% Cox:1998:RWB,% Cox:2000:RWB,% Higham:1989:LGF,% Higham:1990:BEG,% Higham:1990:HAG% }. \NAMECITE{elliptic}{% Higham:2002:DDH% }. \NAMECITE{Embree}{% Higham:2007:RLT% }. \NAMECITE{{Engineers}}{% Higham:2001:RMA,% Higham:2006:RAJ% }. \NAMECITE{Enhances}{% Higham:1990:IRE,% Higham:1991:IRE% }. \NAMECITE{entropy}{% Lin:2014:CSR% }. \NAMECITE{EPSRC}{% Ainsworth:1999:GSG% }. \NAMECITE{Equality}{% Cox:1997:ASN,% Cox:1998:RWB,% Cox:1999:ASN,% Cox:2000:RWB,% Bojanczyk:2003:ECI% }. \NAMECITE{Equation}{% Guo:2007:ISN,% Higham:2002:SQM,% Higham:2000:NAQ,% Higham:2001:SQM% }. \NAMECITE{Equations}{% Higham:1990:IRE,% Higham:1991:IRE,% Higham:1991:SLE% }. \NAMECITE{Error}{% Blanchard:2019:MPB,% Cox:1998:BEB,% Demmel:1990:IEB,% Demmel:1993:IEB,% Higham:1987:EAB,% Higham:1990:BEG,% Higham:1990:CEB,% Higham:1992:BEC,% Higham:1992:PTB,% Higham:1993:CEA,% Higham:1996:SBE,% Higham:1998:SBE,% Higham:1999:SBE,% Higham:2008:BEP,% Higham:2019:NAP,% Higham:2019:NPE,% Blanchard:2020:MPB,% Connolly:2021:SRP,% Cox:1999:BEB,% Fischer:2017:AAM,% Higham:1993:PTBa,% Higham:1993:PTBb,% Higham:2007:BEP,% Higham:2020:SPB% }. \NAMECITE{errors}{% Dingle:2013:RIT% }. \NAMECITE{Essex}{% Higham:1996:RMB% }. \NAMECITE{Estimating}{% Higham:1988:AFC,% Higham:1989:CFC,% Higham:1992:EMN,% Higham:2014:ECN,% Higham:2016:ELE,% Al-Mohy:2013:CFD% }. \NAMECITE{Estimation}{% Al-Mohy:2009:CFD,% Cheng:2001:ILB,% Cheng:2001:PIB,% Higham:1987:SCN,% Higham:1988:AFC,% Higham:1989:CFC,% Higham:2000:BAM,% Al-Mohy:2008:CFD,% Fischer:2017:AAM% }. \NAMECITE{Estimator}{% Higham:1990:EMN% }. \NAMECITE{Evaluating}{% Higham:2001:EPA% }. \NAMECITE{Ever}{% Higham:1998:NWE% }. \NAMECITE{Exact}{% Higham:2002:SQM,% Higham:2001:SQM% }. \NAMECITE{{Exercises}}{% Higham:2002:RMO% }. \NAMECITE{exp}{% Blanchard:2021:ACL% }. \NAMECITE{Experience}{% Higham:1990:EMN% }. \NAMECITE{Explicit}{% Georgescu:2018:ESC% }. \NAMECITE{Exploiting}{% Higham:1990:EFM,% Higham:2021:ELP% }. \NAMECITE{Exploits}{% Higham:2019:NPE% }. \NAMECITE{Exponential}{% Al-Mohy:2009:CFD,% Al-Mohy:2010:NSS,% Al-Mohy:2011:CAM,% Higham:2005:SSM,% Higham:2009:SSM,% Al-Mohy:2008:CFD,% Al-Mohy:2009:NSS,% Aprahamian:2014:MUF,% Aprahamian:2016:MEB,% Fasi:2019:APS,% Fischer:2017:AAM% }. \NAMECITE{exponential-based}{% Aprahamian:2016:MEB% }. \NAMECITE{extensible}{% Higham:2022:AEM% }. \NAMECITE{extreme}{% Fasi:2021:GES% }. \NAMECITE{extreme-scale}{% Fasi:2021:GES% }. \NAMECITE{F}{% Higham:1990:RGH% }. \NAMECITE{{F}{\^e}te}{% Higham:1992:IWP% }. \NAMECITE{Factor}{% Borsdorf:2010:CNC% }. \NAMECITE{factorisations}{% Higham:2021:IMF% }. \NAMECITE{Factorization}{% Bojanczyk:2003:SIL,% Cheng:1996:MCA,% Cheng:1998:MCA,% Cox:1997:SHQ,% Cox:1998:SHQ,% Demmel:1992:BLF,% Demmel:1995:SBF,% Fasi:2021:MTI,% Higham:1990:IRE,% Higham:1991:IRE,% Higham:1997:SBF,% Higham:1998:FCP,% Higham:2019:NPE,% Higham:2021:RMG,% Higham:1999:SBL,% Higham:2000:FCP,% Higham:2000:QFC,% Higham:2022:SBL% }. \NAMECITE{Factorizations}{% Higham:2007:MFA% }. \NAMECITE{Factorizing}{% Higham:1996:FCS,% Higham:1998:FCS% }. \NAMECITE{Factors}{% Davies:2000:NSG,% Higham:1989:LGF% }. \NAMECITE{Fast}{% Blanchard:2020:CFA,% Demmel:1990:SBA,% Demmel:1992:SBA,% Higham:1988:FSV,% Higham:1990:EFM,% Higham:1990:FMM,% Higham:1990:FPD,% Haidar:2018:HGT% }. \NAMECITE{Featured}{% Higham:1999:FBR% }. \NAMECITE{Field}{% Braconnier:1995:CFV,% Braconnier:1996:CFV% }. \NAMECITE{{FIMA}}{% Freeman:2018:JWF% }. \NAMECITE{finance}{% Higham:2002:CNC% }. \NAMECITE{Finite}{% Higham:1993:FPB,% Higham:1995:MPF% }. \NAMECITE{Fitting}{% Higham:1999:FTP% }. \NAMECITE{Fixed}{% Higham:2016:RDS% }. \NAMECITE{Floating}{% Higham:1991:TMP,% Higham:2002:RMO,% Higham:2019:SLP,% Higham:1993:AFP% }. \NAMECITE{Floating-Point}{% Higham:2019:SLP% }. \NAMECITE{focus}{% Higham:2018:TFD% }. \NAMECITE{Folkmar}{% Higham:2005:BRS% }. \NAMECITE{form}{% Higham:2021:IMF% }. \NAMECITE{{FORTRAN}}{% Higham:1988:AFC,% Higham:1989:CFC% }. \NAMECITE{fp16}{% Higham:2018:HPA,% Haidar:2018:HGT% }. \NAMECITE{Fractional}{% Higham:2011:SPA,% Higham:2013:ISP% }. \NAMECITE{Framework}{% Sukkari:2019:QBS,% Grammont:2011:FAN% }. \NAMECITE{{Fr{\'e}chet}}{% Al-Mohy:2008:CFD,% Al-Mohy:2009:CFD,% Al-Mohy:2010:CSA,% Al-Mohy:2013:CFD,% Higham:2013:ISP,% Higham:2014:ECN,% Higham:2014:HOF% }. \NAMECITE{Free}{% Higham:2021:MDF% }. \NAMECITE{{FTP}}{% Higham:1992:JAF% }. \NAMECITE{Function}{% Deadman:2016:TMF,% Higham:2008:MFT,% Al-Mohy:2010:CSA,% Aprahamian:2014:MUF,% Corless:2007:SEA,% Fasi:2015:AML,% Higham:2014:ECN,% Lin:2014:CSR% }. \NAMECITE{Functions}{% Aprahamian:2016:MIT,% Davies:2003:SPA,% Higham:2005:FPM,% Higham:2007:FM,% Higham:2008:FMT,% Higham:2014:HOF,% Higham:2015:MFS,% Higham:2017:CAT,% Higham:2021:MDF,% Nadukandi:2018:CWK,% Blanchard:2021:ACL,% Davies:2005:CMF,% Hale:2008:CRM,% Higham:2010:CMF% }. \NAMECITE{Fundamental}{% Higham:1996:RDB% }. \NAMECITE{Fused}{% Blanchard:2019:MPB,% Blanchard:2020:MPB% }. \NAMECITE{G}{% Higham:1990:RGH% }. \NAMECITE{{Gaussian}}{% Higham:1989:LGF,% Higham:1990:BEG,% Higham:1990:HAG% }. \NAMECITE{Gene}{% Higham:2006:RMC,% Chan:2007:MMC,% Higham:2008:HOW,% Higham:2008:IGG% }. \NAMECITE{Generalized}{% Cheng:1998:NDP,% Davies:2001:ACM,% Higham:1996:SBE,% Higham:1998:SBE,% Higham:1999:SBE,% Higham:2010:CGP,% Cheng:1999:NDP,% Higham:2009:CGP% }. \NAMECITE{Generating}{% Fasi:2021:GES,% Higham:2021:RMG% }. \NAMECITE{Generation}{% Davies:2000:NSG,% Higham:2003:OMP% }. \NAMECITE{given}{% Meyer:1993:LAM% }. \NAMECITE{Gives}{% Higham:2016:KGS% }. \NAMECITE{{GMRES}}{% Carson:2020:TPG% }. \NAMECITE{{GMRES}-based}{% Carson:2020:TPG% }. \NAMECITE{Golub}{% Higham:1990:RGH,% Higham:2006:RMC,% Chan:2007:MMC,% Higham:1992:IWP,% Higham:2008:HOW,% Higham:2008:IGG% }. \NAMECITE{Gover}{% Higham:1990:RMJ% }. \NAMECITE{{GPU}}{% Blanchard:2019:MPB,% Blanchard:2020:MPB,% Haidar:2018:HGT% }. \NAMECITE{{GPUs}}{% Haidar:2020:MPI% }. \NAMECITE{Graduate}{% Ainsworth:1999:GSG% }. \NAMECITE{Greet}{% Graham:2004:UAC% }. \NAMECITE{Groups}{% Higham:2004:CPD,% Higham:2005:FPM% }. \NAMECITE{Growth}{% Higham:1989:LGF,% Higham:2021:RMG% }. \NAMECITE{Guide}{% Ainsworth:1999:GSG,% Higham:2000:MG,% Higham:2001:RMA,% Higham:2005:MG,% Higham:2017:MG% }. \NAMECITE{H}{% Chan:2007:MMC,% Higham:1990:RGH,% Higham:2006:RMC,% Higham:2017:CHB% }. \NAMECITE{Half}{% Higham:2018:HPA,% Higham:2019:SMH% }. \NAMECITE{Hand}{% Higham:1992:CPT% }. \NAMECITE{Handbook}{% Higham:1993:HWM,% Higham:1994:HWM,% Higham:1998:HWM,% Higham:2020:HWM,% Hogben:2007:HLA% }. \NAMECITE{hardcover}{% Higham:2005:BRS% }. \NAMECITE{Hardy}{% Hammarling:2019:CJH% }. \NAMECITE{Harnessing}{% Haidar:2018:HGT% }. \NAMECITE{held}{% Iserles:1987:SAN,% Meyer:1993:LAM% }. \NAMECITE{Henk}{% Higham:2000:RJJ% }. \NAMECITE{{Hermitian}}{% Cheng:1998:NDP,% Cheng:1999:NDP,% Guo:2009:IAA,% Guo:2010:IAA,% Higham:2002:DDH% }. \NAMECITE{High}{% Higham:2000:RJJ,% Higham:2005:BRS,% Trefethen:2009:DHP,% Dongarra:2020:NAH% }. \NAMECITE{High-Accuracy}{% Higham:2005:BRS% }. \NAMECITE{High-Performance}{% Higham:2000:RJJ,% Trefethen:2009:DHP,% Dongarra:2020:NAH% }. \NAMECITE{{Higham}}{% Fischer:2017:AAM% }. \NAMECITE{Higher}{% Higham:2014:HOF% }. \NAMECITE{Historical}{% Higham:2016:MWP% }. \NAMECITE{Hopkins}{% Higham:1990:RGH% }. \NAMECITE{Hosts}{% Hammarling:1993:CHW,% Higham:1997:MHI% }. \NAMECITE{{Householder}}{% Cox:1997:SHQ,% Cox:1998:SHQ% }. \NAMECITE{Howard}{% Higham:1995:RHA% }. \NAMECITE{Hundred}{% Higham:2002:RMO% }. \NAMECITE{Hyperbolic}{% Aprahamian:2016:MIT,% Bojanczyk:2003:SIL,% Guo:2009:DSH,% Higham:2017:CAT,% Guo:2008:DSH,% Higham:2002:DDH% }. \NAMECITE{Iain}{% Higham:2000:RJJ% }. \NAMECITE{Identities}{% Deadman:2016:TMF% }. \NAMECITE{IEEE}{% Burgess:2017:ISC,% Higham:2002:RMO% }. \NAMECITE{ill}{% Carson:2017:NAI% }. \NAMECITE{ill-conditioned}{% Carson:2017:NAI% }. \NAMECITE{IMA}{% Iserles:1987:SAN,% Higham:1992:IWP% }. \NAMECITE{IMA/SIAM}{% Iserles:1987:SAN% }. \NAMECITE{Imaginary}{% Higham:1996:FCS,% Higham:1998:FCS% }. \NAMECITE{Implementation}{% Cheng:2001:ILB,% Cheng:2001:PIB,% Dayde:1994:PBI,% Dongarra:1990:ASL% }. \NAMECITE{implemented}{% Bethune:2014:PAA% }. \NAMECITE{Improved}{% Al-Mohy:2012:IIS,% Demmel:1990:IEB,% Demmel:1993:IEB,% Guo:2010:IAA,% Guo:2009:IAA,% Higham:2013:ISP% }. \NAMECITE{Inaugural}{% Higham:1997:MHI% }. \NAMECITE{Including}{% Higham:2002:RMO% }. \NAMECITE{Indefinite}{% Bojanczyk:2003:SIL,% Cheng:1996:MCA,% Cheng:1998:MCA,% Bojanczyk:2003:ECI% }. \NAMECITE{Industrial}{% Higham:2000:RJJ,% Higham:2002:RMO% }. \NAMECITE{Inertia}{% Higham:1996:MIM,% Higham:1998:MIM% }. \NAMECITE{Infinity}{% Fasi:2021:MTI% }. \NAMECITE{Infinity-Norm}{% Fasi:2021:MTI% }. \NAMECITE{Influence}{% Hammarling:2022:ICJ,% Dingle:2013:RIT,% Higham:2014:SIA% }. \NAMECITE{Institute}{% Meyer:1993:LAM,% Moonen:1993:LAL% }. \NAMECITE{insurance}{% Georgescu:2018:ESC% }. \NAMECITE{Integer}{% Higham:2021:IMF% }. \NAMECITE{integrals}{% Hale:2008:CRM% }. \NAMECITE{Integrators}{% Al-Mohy:2011:CAM% }. \NAMECITE{International}{% Brown:2007:PIS,% Higham:2001:PEC% }. \NAMECITE{interpolation}{% Higham:2004:NSB% }. \NAMECITE{Interview}{% Higham:2005:IPLa,% Higham:2005:IPLb,% Higham:2008:HOW,% Higham:2008:IGG% }. \NAMECITE{Introduction}{% Higham:1993:CCL,% Higham:1996:CCL,% Higham:1997:CCL,% Higham:2002:RAN% }. \NAMECITE{Inverse}{% Al-Mohy:2012:IIS,% Aprahamian:2016:MIT,% Guo:2006:SNM,% Higham:1994:SPI,% Higham:2006:RMC% }. \NAMECITE{Inversion}{% Balle:1993:STM,% DuCroz:1990:SMM,% DuCroz:1992:SMM% }. \NAMECITE{Involving}{% Higham:1988:FSV% }. \NAMECITE{{Irish}}{% Higham:1997:MHI% }. \NAMECITE{ISBN}{% Higham:1999:BRL,% Higham:2005:BRS% }. \NAMECITE{Iteration}{% Higham:1993:FPB% }. \NAMECITE{Iterations}{% Higham:1997:SIMa,% Higham:2005:FPM,% Nakatsukasa:2012:BSI,% Higham:1997:SIMb% }. \NAMECITE{Iterative}{% Carson:2018:ASL,% Davies:2001:ACM,% Guo:2007:ISN,% Higham:1990:IRE,% Higham:1991:IRE,% Higham:1993:CEA,% Higham:1995:IRLa,% Higham:1995:IRLb,% Higham:1996:RMB,% Higham:1997:IRL,% Anzt:2019:APB,% Carson:2017:NAI,% Carson:2020:TPG,% Haidar:2018:HGT,% Haidar:2020:MPI% }. \NAMECITE{J}{% Higham:1990:RMJ,% Higham:2000:RJJ,% Higham:2006:RAJ% }. \NAMECITE{Jack}{% Higham:2000:RJJ,% Hammarling:2022:ICJ% }. \NAMECITE{{Jacobi}}{% Anzt:2019:APB,% Bethune:2014:PAA% }. \NAMECITE{James}{% Higham:1997:RJR,% Hammarling:2019:CJH% }. \NAMECITE{January}{% Meyer:1993:LAM% }. \NAMECITE{{Joan}}{% Freeman:2018:JWF% }. \NAMECITE{John}{% Higham:1999:BRL% }. \NAMECITE{Johns}{% Higham:1990:RGH% }. \NAMECITE{Joint}{% Iserles:1987:SAN% }. \NAMECITE{J{\"o}rg}{% Higham:2005:BRS% }. \NAMECITE{Joy}{% Higham:1992:JAF% }. \NAMECITE{July}{% Brown:2007:PIS,% Burgess:2017:ISC% }. \NAMECITE{June}{% Higham:1998:NAP% }. \NAMECITE{Kernel}{% Nadukandi:2018:CWK% }. \NAMECITE{kernels}{% Higham:2020:SPB% }. \NAMECITE{{Knuth}}{% Higham:2016:KGS% }. \NAMECITE{{Lagrange}}{% Higham:2004:NSB% }. \NAMECITE{{Lambert}}{% Corless:2007:SEA,% Fasi:2015:AML% }. \NAMECITE{{Lancaster}}{% Higham:2005:IPLa,% Higham:2005:IPLb% }. \NAMECITE{Lanczos}{% Higham:1993:CCL,% Higham:1996:CCL,% Higham:1997:CCL,% Braconnier:1995:CFV,% Braconnier:1996:CFV% }. \NAMECITE{{LAPACK}}{% Abdelfattah:2021:SBB,% Cheng:2001:ILB,% Higham:1992:LRM,% Higham:1995:IRLa,% Higham:1995:IRLb,% Higham:1997:IRL% }. \NAMECITE{Large}{% Higham:1989:LGF,% Higham:2021:RMG,% Moonen:1993:LAL% }. \NAMECITE{Largest}{% Higham:2016:ELE% }. \NAMECITE{Laub}{% Higham:2006:RAJ% }. \NAMECITE{Laurie}{% Higham:2005:BRS% }. \NAMECITE{Lax}{% Higham:1999:BRL,% Higham:1999:RPD% }. \NAMECITE{{LDL}}{% Higham:1999:SBL% }. \NAMECITE{Least}{% Bojanczyk:2003:SIL,% Cox:1997:ASN,% Cox:1997:SHQ,% Cox:1998:BEB,% Cox:1998:RWB,% Cox:1998:SHQ,% Cox:1999:ASN,% Cox:2000:RWB,% Bojanczyk:2003:ECI,% Carson:2020:TPG,% Cox:1999:BEB,% Higham:2021:ELP% }. \NAMECITE{Lecture}{% Ainsworth:1999:GSG,% Higham:2016:KGS% }. \NAMECITE{lectures}{% Meyer:1993:LAM% }. \NAMECITE{Leuven}{% Moonen:1993:LAL% }. \NAMECITE{Level}{% Dayde:1994:PBI,% Demmel:1990:SBA,% Demmel:1992:SBA,% Higham:1990:EFM,% Higham:2014:HOF,% Dongarra:1990:ASL% }. \NAMECITE{Level-}{% Higham:2014:HOF% }. \NAMECITE{Level-3}{% Dayde:1994:PBI,% Demmel:1992:SBA% }. \NAMECITE{like}{% Higham:1988:FSV,% Higham:1990:SAA% }. \NAMECITE{Line}{% Higham:2002:SQM,% Higham:2001:SQM% }. \NAMECITE{Linear}{% Abdelfattah:2021:SBB,% Carson:2018:ASL,% Dongarra:1990:ASL,% Hammarling:2022:ICJ,% Higham:1985:NPN,% Higham:1987:NLA,% Higham:1990:IRE,% Higham:1991:IRE,% Higham:1991:SLE,% Higham:1992:BEC,% Higham:1992:CPT,% Higham:1994:SCPa,% Higham:1994:SCPb,% Higham:1995:IRLa,% Higham:1995:RHA,% Higham:1997:RDD,% Higham:1997:TLA,% Higham:1998:NAS,% Higham:1999:BRL,% Higham:1999:FBR,% Higham:2000:RJJ,% Higham:2001:PEC,% Higham:2019:SMH,% Hogben:2007:HLA,% Meyer:1993:LAM,% Anzt:2019:APB,% Carson:2017:NAI,% Grammont:2011:FAN,% Haidar:2020:MPI,% Higham:1997:IRL,% Higham:2020:SPB,% Higham:2021:ELP,% Higham:2022:MPA,% Higham:2022:SBL,% Higham:1999:RPD,% Meyer:1993:LAM,% Moonen:1993:LAL% }. \NAMECITE{Linearization}{% Higham:2008:BEP,% Higham:2009:DMP,% Higham:2007:BEP% }. \NAMECITE{Linearizations}{% Higham:2006:CLM,% Higham:2007:SLM,% Higham:2006:SLM% }. \NAMECITE{Lloyd}{% Higham:2007:RLT% }. \NAMECITE{Loan}{% Higham:1990:RGH% }. \NAMECITE{log}{% Blanchard:2021:ACL% }. \NAMECITE{log-sum-exp}{% Blanchard:2021:ACL% }. \NAMECITE{Logarithm}{% Al-Mohy:2012:IIS,% Al-Mohy:2013:CFD,% Cheng:2000:ALM,% Cheng:2001:ALM,% Fasi:2018:MAC,% Higham:2001:EPA% }. \NAMECITE{London}{% Burgess:2017:ISC% }. \NAMECITE{Longman}{% Higham:1996:RMB% }. \NAMECITE{loss}{% Lin:2014:CSR% }. \NAMECITE{Low}{% Higham:2019:NPE,% Higham:2019:SLP,% Higham:2022:SBL% }. \NAMECITE{Low-Rank}{% Higham:2019:NPE,% Higham:2022:SBL% }. \NAMECITE{lower}{% Higham:2021:ELP% }. \NAMECITE{{LU}}{% Demmel:1992:BLF% }. \NAMECITE{M}{% Higham:1990:RMJ% }. \NAMECITE{{Machine}}{% Balle:1993:STM% }. \NAMECITE{Magnus}{% Higham:1996:RMB% }. \NAMECITE{management}{% Georgescu:2018:ESC% }. \NAMECITE{Managers}{% Higham:2001:RMA% }. \NAMECITE{{Manchester}}{% Graham:2004:UAC,% Higham:1997:MHI% }. \NAMECITE{Manycore}{% Sukkari:2019:QBS% }. \NAMECITE{{March}}{% Higham:1992:LRM% }. \NAMECITE{Mark}{% Higham:2007:RLT% }. \NAMECITE{Markov}{% Meyer:1993:LAM% }. \NAMECITE{Maryland}{% Higham:1990:RGH% }. \NAMECITE{Matching}{% Aprahamian:2016:MEB% }. \NAMECITE{Math.}{% Higham:1993:CCL,% Higham:1996:CCL,% Higham:1997:CCL% }. \NAMECITE{Mathematical}{% Higham:1993:HWM,% Higham:1994:HWM,% Higham:1994:WDM,% Higham:1998:HWM,% Higham:2016:MWP,% Higham:2020:HWM% }. \NAMECITE{Mathematicians}{% Graham:2004:UAC% }. \NAMECITE{Mathematics}{% Higham:1996:RMB,% Higham:1999:BRL,% Higham:2000:RJJ,% Higham:2002:RMO,% Higham:2015:PCA,% Meyer:1993:LAM,% Higham:2014:SIA% }. \NAMECITE{{MATLAB}}{% Higham:1989:CTM,% Higham:1991:ACT,% Higham:2000:MG,% Higham:2002:MCT,% Higham:2005:MG,% Higham:2017:MG,% Higham:2022:AEM,% Higham:1993:TMT,% Higham:1995:TMT% }. \NAMECITE{Matrices}{% Davies:2000:NSG,% Fasi:2021:MTI,% Higham:1987:SCN,% Higham:1989:CTM,% Higham:1991:ACT,% Higham:1992:SMM,% Higham:1996:FCS,% Higham:1996:MIM,% Higham:1998:MIM,% Higham:2003:OMP,% Higham:2007:RLT,% Higham:2008:FMT,% Higham:2016:RDS,% Higham:2021:RMG,% Fasi:2021:GES,% Higham:1998:FCS,% Higham:2007:FM,% Higham:2011:RSM,% Higham:2018:RAB% }. \NAMECITE{Matrix}{% Al-Mohy:2009:CFD,% Al-Mohy:2010:NSS,% Al-Mohy:2011:CAM,% Al-Mohy:2012:IIS,% Aprahamian:2016:MIT,% Balle:1993:STM,% Borsdorf:2010:CNC,% Chan:2007:MMC,% Cheng:2001:ILB,% Cheng:2001:PIB,% Davies:2003:SPA,% Deadman:2016:TMF,% DuCroz:1990:SMM,% DuCroz:1992:SMM,% Guo:2006:SNM,% Higham:1983:MCN,% Higham:1985:MCB,% Higham:1986:EAC,% Higham:1986:MCB,% Higham:1986:NMM,% Higham:1987:CRS,% Higham:1988:AFC,% Higham:1988:CNS,% Higham:1989:CFC,% Higham:1989:MCP,% Higham:1989:MNP,% Higham:1990:ACD,% Higham:1990:EFM,% Higham:1990:EMN,% Higham:1990:FMM,% Higham:1990:FPD,% Higham:1990:RGH,% Higham:1990:RMJ,% Higham:1992:EMN,% Higham:1992:SMM,% Higham:1993:ODS,% Higham:1993:TMT,% Higham:1994:MSD,% Higham:1995:MPF,% Higham:1995:TMT,% Higham:1996:RDB,% Higham:1997:RJR,% Higham:1997:SBF,% Higham:1997:SIMa,% Higham:2000:BAM,% Higham:2001:BEM,% Higham:2002:SQM,% Higham:2003:CMC,% Higham:2004:CPD,% Higham:2005:FPM,% Higham:2005:SSM,% Higham:2006:CLM,% Higham:2007:MFA,% Higham:2007:SLM,% Higham:2009:DMP,% Higham:2009:SSM,% Higham:2011:SPA,% Higham:2014:HOF,% Higham:2015:MCT,% Higham:2015:MFS,% Higham:2016:BDN,% Higham:2016:ELE,% Higham:2017:CAT,% Higham:2019:SMH,% Higham:2021:MDF,% Nadukandi:2018:CWK,% Al-Mohy:2008:CFD,% Al-Mohy:2009:NSS,% Al-Mohy:2010:CSA,% Al-Mohy:2013:CFD,% Al-Mohy:2015:NAC,% Anjos:2001:SPA,% Aprahamian:2014:MUF,% Bini:2005:AMR,% Borsdorf:2010:PNA,% Cheng:2000:ALM,% Cheng:2001:ALM,% Davies:2005:CMF,% Fasi:2015:AML,% Fasi:2018:MAC,% Fasi:2019:APS,% Fischer:2017:AAM,% Georgescu:2018:ESC,% Hale:2008:CRM,% Hargreaves:2005:EAM,% Higham:1983:UBC,% Higham:1997:SIMb,% Higham:1999:SBL,% Higham:2000:NAQ,% Higham:2001:EPA,% Higham:2001:SQM,% Higham:2002:CNC,% Higham:2003:BEM,% Higham:2006:SLM,% Higham:2008:CSE,% Higham:2010:CMF,% Higham:2013:ISP,% Higham:2014:ECN,% Higham:2016:AAA,% Higham:2016:ACP% }. \NAMECITE{matrix}{% Higham:2021:IMF,% Higham:2022:AEM,% Higham:2002:MCT,% Higham:2006:RAJ,% Higham:2008:MFT% }. \NAMECITE{Measures}{% Higham:1991:TMP,% Aprahamian:2016:MEB% }. \NAMECITE{Meeting}{% Higham:1997:MHI% }. \NAMECITE{memory}{% Sukkari:2019:QBS% }. \NAMECITE{Method}{% Braconnier:1995:CFV,% Braconnier:1996:CFV,% Cox:1997:ASN,% Cox:1999:ASN,% Davies:2001:ACM,% Guo:2006:SNM,% Higham:1986:NMM,% Higham:1992:SMM,% Higham:1994:SPI,% Higham:1995:SDP,% Higham:1997:SDP,% Higham:2002:SQM,% Higham:2005:SSM,% Higham:2009:SSM,% Bethune:2014:PAA,% Higham:2001:SQM,% Higham:2016:AAA% }. \NAMECITE{Methods}{% Cox:1998:RWB,% Cox:2000:RWB,% DuCroz:1990:SMM,% DuCroz:1992:SMM,% Higham:1990:IRE,% Higham:1991:IRE,% Higham:1993:CEA,% Higham:1996:RMB,% Higham:1998:BNR% }. \NAMECITE{Michael}{% Higham:2001:RMA,% Higham:2002:RMO% }. \NAMECITE{Microcomputer}{% Higham:1985:MCB,% Higham:1986:MCB% }. \NAMECITE{Milestones}{% Chan:2007:MMC% }. \NAMECITE{{MIMD}}{% Dayde:1994:PBI% }. \NAMECITE{Mixed}{% Blanchard:2019:MPB,% Blanchard:2020:MPB,% Haidar:2020:MPI,% Higham:2022:MPA,% Haidar:2018:HGT% }. \NAMECITE{Mixed-precision}{% Haidar:2020:MPI,% Haidar:2018:HGT% }. \NAMECITE{Model}{% Dongarra:1990:ASL% }. \NAMECITE{models}{% Meyer:1993:LAM% }. \NAMECITE{Modified}{% Cheng:1996:MCA,% Cheng:1998:MCA% }. \NAMECITE{Modifying}{% Higham:1996:MIM,% Higham:1998:MIM% }. \NAMECITE{{Mohy}}{% Fischer:2017:AAM% }. \NAMECITE{{Moler}}{% Higham:1999:FTP% }. \NAMECITE{Moody}{% Higham:2006:RMC% }. \NAMECITE{{MPI}}{% Bethune:2014:PAA% }. \NAMECITE{Multiple}{% Higham:1992:CPT% }. \NAMECITE{Multiplication}{% Higham:1990:EFM,% Higham:1990:FMM% }. \NAMECITE{Multiplications}{% Higham:1992:SMM% }. \NAMECITE{Multiply}{% Blanchard:2019:MPB,% Blanchard:2020:MPB% }. \NAMECITE{Multiply-Add}{% Blanchard:2019:MPB,% Blanchard:2020:MPB% }. \NAMECITE{Multiplying}{% Higham:1992:SMM% }. \NAMECITE{Multiprecision}{% Fasi:2018:MAC,% Higham:2017:RMA,% Higham:2021:MDF% }. \NAMECITE{N}{% Higham:2007:RLT% }. \NAMECITE{Nat.}{% Higham:1993:CCL,% Higham:1996:CCL,% Higham:1997:CCL% }. \NAMECITE{NATO}{% Moonen:1993:LAL% }. \NAMECITE{Nearest}{% Borsdorf:2010:CNC,% Cheng:1998:NDP,% Higham:1988:CNS,% Higham:2016:BDN,% Borsdorf:2010:PNA,% Cheng:1999:NDP,% Higham:2002:CNC,% Higham:2016:AAA% }. \NAMECITE{Nearness}{% Higham:1985:NPN,% Higham:1989:MNP,% Higham:2002:DDH% }. \NAMECITE{Need}{% Fasi:2021:MTI% }. \NAMECITE{Neumaier}{% Higham:2002:RAN% }. \NAMECITE{Neumann}{% Higham:2016:KGS% }. \NAMECITE{News}{% Higham:1998:BNR% }. \NAMECITE{{Newton}}{% Borsdorf:2010:PNA,% Guo:2006:SNM,% Higham:1986:NMM,% Higham:2001:SQM,% Higham:2002:SQM% }. \NAMECITE{{NLEVP}}{% Betcke:2013:NCN% }. \NAMECITE{No}{% Fasi:2021:MTI% }. \NAMECITE{nonlinear}{% Betcke:2013:NCN,% Grammont:2011:FAN% }. \NAMECITE{Nonnormal}{% Higham:2007:RLT% }. \NAMECITE{Nonsymmetric}{% Guo:2007:ISN% }. \NAMECITE{Norm}{% Cheng:2001:ILB,% Cheng:2001:PIB,% Fasi:2021:MTI,% Higham:1988:AFC,% Higham:1989:CFC,% Higham:1990:EMN,% Higham:2000:BAM,% Higham:1992:EMN% }. \NAMECITE{normwise}{% Dingle:2013:RIT% }. \NAMECITE{Notes}{% Ainsworth:1999:GSG,% Higham:1996:RMB,% Higham:1998:NAS,% Higham:1999:NAS% }. \NAMECITE{{Nothing}}{% Higham:1998:NWE% }. \NAMECITE{Null}{% Cox:1997:ASN,% Cox:1999:ASN% }. \NAMECITE{Number}{% Al-Mohy:2009:CFD,% Fasi:2021:MTI,% Higham:1986:EAC,% Higham:1987:SCN,% Higham:2014:HOF,% Higham:2018:UN,% Al-Mohy:2008:CFD,% Al-Mohy:2013:CFD,% Fasi:2021:GES,% Higham:1983:UBC,% Higham:2014:ECN% }. \NAMECITE{Numbers}{% Higham:1983:MCN% }. \NAMECITE{Numerica}{% Higham:1996:RAN% }. \NAMECITE{Numerical}{% Ainsworth:1999:GSG,% Dongarra:2020:NAH,% Hammarling:2022:ICJ,% Higham:1985:NPN,% Higham:1987:NLA,% Higham:1994:SCPa,% Higham:1994:SCPb,% Higham:1996:ASN,% Higham:1997:RDD,% Higham:1998:BNR,% Higham:1998:NAS,% Higham:1999:FBR,% Higham:1999:FTP,% Higham:1999:NAS,% Higham:2000:NAQ,% Higham:2002:ASN,% Higham:2002:RAN,% Higham:2005:BRS,% Iserles:1987:SAN,% Trefethen:2009:DHP,% Duff:1997:SAN,% Higham:2004:NSB,% Higham:2008:SSS,% Higham:2022:MPA,% Higham:1998:NAP,% Higham:2000:RJJ,% Higham:2002:RMO% }. \NAMECITE{Numerically}{% Davies:2000:NSG,% Higham:2022:SBL% }. \NAMECITE{obstruction}{% Higham:2021:IMF% }. \NAMECITE{One}{% Higham:1988:AFC,% Higham:1989:CFC,% Higham:2002:RMO% }. \NAMECITE{One-Norm}{% Higham:1988:AFC,% Higham:1989:CFC% }. \NAMECITE{Ontario}{% Brown:2007:PIS% }. \NAMECITE{{OpenMP}}{% Bethune:2014:PAA% }. \NAMECITE{{Operators}}{% Higham:2007:RLT% }. \NAMECITE{Optimization}{% Higham:1993:ODS,% Higham:1996:MIM,% Higham:1998:MIM% }. \NAMECITE{Order}{% Higham:2014:HOF% }. \NAMECITE{Orthogonal}{% Higham:1988:FSV,% Higham:2003:OMP% }. \NAMECITE{Overton}{% Higham:2002:RMO% }. \NAMECITE{Own}{% Higham:2008:HOW% }. \NAMECITE{Oxford}{% Higham:1990:RMJ% }. \NAMECITE{PA}{% Higham:2000:RJJ,% Higham:2002:RMO% }. \NAMECITE{{Pad{\'e}}}{% Higham:2001:EPA,% Higham:2011:SPA,% Higham:2013:ISP% }. \NAMECITE{Pair}{% Cheng:1998:NDP,% Cheng:1999:NDP,% Higham:2002:DDH% }. \NAMECITE{Pairs}{% Guo:2010:IAA,% Guo:2009:IAA% }. \NAMECITE{Pan}{% Higham:1996:RDB% }. \NAMECITE{Parallel}{% Cheng:2001:PIB,% Dayde:1994:PBI,% Higham:1993:PSV,% Higham:1994:NPA,% Higham:1994:PAC,% Higham:1994:SPI,% Higham:1995:SPT% }. \NAMECITE{parametrized}{% Grammont:2011:FAN% }. \NAMECITE{{Parlett}}{% Davies:2003:SPA,% Higham:2021:MDF% }. \NAMECITE{part}{% Meyer:1993:LAM% }. \NAMECITE{Partial}{% Higham:1995:SDP,% Higham:1997:SDP% }. \NAMECITE{Participants}{% Higham:1992:IWP% }. \NAMECITE{Partitioned}{% Higham:1994:SPI% }. \NAMECITE{Parts}{% Higham:1996:FCS,% Higham:1998:FCS% }. \NAMECITE{{PC}}{% Higham:1989:MCP% }. \NAMECITE{Pencils}{% Higham:2009:DMP% }. \NAMECITE{{Pereyra}}{% Higham:1987:EAB% }. \NAMECITE{Performance}{% Bethune:2014:PAA,% Higham:2000:RJJ,% Trefethen:2009:DHP,% Dingle:2013:RIT,% Dongarra:2020:NAH% }. \NAMECITE{Perturbation}{% Higham:1992:CPT,% Higham:1992:PTB,% Higham:1993:PTBa,% Higham:1993:PTBb,% Higham:1994:SCPa,% Higham:1994:SCPb% }. \NAMECITE{Peter}{% Higham:1999:BRL,% Higham:1999:RPD,% Higham:2005:IPLa,% Higham:2005:IPLb% }. \NAMECITE{Philadelphia}{% Higham:2000:RJJ,% Higham:2002:RMO,% Higham:2005:BRS% }. \NAMECITE{Pioneering}{% Higham:1999:FTP% }. \NAMECITE{Pitman}{% Higham:1996:RMB% }. \NAMECITE{Pivoting}{% Fasi:2021:MTI,% Higham:1989:LGF,% Higham:1995:DPS,% Higham:1995:SDP,% Higham:1997:SDP,% Higham:1998:FCP,% Higham:2021:RMG,% Higham:2000:FCP,% Higham:2000:QFC% }. \NAMECITE{Point}{% Higham:1991:TMP,% Higham:2002:RMO,% Higham:2019:SLP,% Higham:1993:AFP% }. \NAMECITE{Polar}{% Higham:1986:CPD,% Higham:1990:FPD,% Higham:1993:PSV,% Higham:1994:MSD,% Higham:1994:PAC,% Higham:2004:CPD,% Higham:2010:CGP,% Nakatsukasa:2012:BSI,% Higham:2009:CGP,% Higham:2016:ACP% }. \NAMECITE{Polynomial}{% Higham:1996:RDB,% Higham:2008:BEP,% Tisseur:2002:SPP,% Higham:2002:MPP,% Higham:2007:BEP,% Tisseur:2001:SPP% }. \NAMECITE{Polynomials}{% Higham:1988:FSV,% Higham:1993:CCL,% Higham:1996:CCL,% Higham:1997:CCL,% Higham:2001:BEM,% Higham:2006:CLM,% Higham:2007:SLM,% Higham:2009:DMP,% Higham:2003:BEM,% Higham:2006:SLM% }. \NAMECITE{Positive}{% Higham:1988:CNS,% Higham:1996:FCS,% Higham:1998:FCS,% Higham:2021:ELP% }. \NAMECITE{Poster}{% Hammarling:1996:HPP% }. \NAMECITE{posteriori}{% Fischer:2017:AAM% }. \NAMECITE{Powers}{% Higham:1995:MPF,% Higham:2011:SPA,% Higham:2013:ISP% }. \NAMECITE{pp}{% Higham:1999:BRL,% Higham:2005:BRS% }. \NAMECITE{Practical}{% Higham:1990:FMM% }. \NAMECITE{Precision}{% Blanchard:2019:MPB,% Higham:1991:TMP,% Higham:1993:FPB,% Higham:1995:MPF,% Higham:2018:HPA,% Higham:2019:SLP,% Higham:2019:SMH,% Anzt:2019:APB,% Blanchard:2020:MPB,% Carson:2020:TPG,% Fasi:2019:APS,% Haidar:2018:HGT,% Haidar:2020:MPI,% Higham:2021:ELP,% Higham:2022:MPA% }. \NAMECITE{Precisions}{% Carson:2018:ASL% }. \NAMECITE{Preconditioned}{% Higham:1996:RMB,% Borsdorf:2010:PNA% }. \NAMECITE{Preconditioner}{% Higham:2019:NPE% }. \NAMECITE{preconditioning}{% Anzt:2019:APB% }. \NAMECITE{Preface}{% Higham:2001:P% }. \NAMECITE{Prepare}{% Hammarling:1996:HPP% }. \NAMECITE{Preserving}{% Higham:2005:FPM% }. \NAMECITE{Press}{% Higham:1990:RGH,% Higham:1990:RMJ,% Higham:1996:RAN,% Higham:2002:RAN% }. \NAMECITE{{Princeton}}{% Higham:2015:PCA% }. \NAMECITE{Prizewinners}{% Higham:2003:SPS% }. \NAMECITE{Probabilistic}{% Higham:2019:NAP,% Connolly:2021:SRP,% Higham:2020:SPB% }. \NAMECITE{Problem}{% Bojanczyk:2003:SIL,% Cheng:1998:NDP,% Cox:1997:ASN,% Cox:1998:RWB,% Cox:1999:ASN,% Cox:2000:RWB,% Higham:1988:SPP,% Anjos:2001:SPA,% Bojanczyk:2003:ECI,% Cheng:1999:NDP,% Higham:2002:CNC,% Higham:2002:DDH% }. \NAMECITE{Problems}{% Cox:1997:SHQ,% Cox:1998:BEB,% Cox:1998:SHQ,% Guo:2009:DSH,% Higham:1985:NPN,% Higham:1989:MNP,% Higham:1990:CEB,% Higham:1996:SBE,% Higham:1998:SBE,% Higham:1999:SBE,% Higham:2006:RMC,% Tisseur:2002:SPP,% Betcke:2013:NCN,% Carson:2020:TPG,% Cox:1999:BEB,% Georgescu:2018:ESC,% Guo:2008:DSH,% Higham:2002:DDH,% Higham:2002:MPP,% Higham:2008:SSS,% Higham:2021:ELP,% Tisseur:2001:SPP% }. \NAMECITE{Proceedings}{% Higham:2001:PEC,% Iserles:1987:SAN,% Moonen:1993:LAL,% Higham:1998:NAP,% Brown:2007:PIS% }. \NAMECITE{Processing}{% Higham:2016:MWP% }. \NAMECITE{Processors}{% Dayde:1994:PBI% }. \NAMECITE{{Procrustes}}{% Higham:1988:SPP% }. \NAMECITE{profiles}{% Dingle:2013:RIT% }. \NAMECITE{programming}{% Anjos:2001:SPA% }. \NAMECITE{Programs}{% Dongarra:1990:ASL% }. \NAMECITE{projections}{% Higham:2016:AAA% }. \NAMECITE{Properties}{% Higham:2003:OMP% }. \NAMECITE{Pseudospectra}{% Braconnier:1995:CFV,% Braconnier:1996:CFV,% Higham:2000:BAM,% Higham:2007:RLT,% Tisseur:2002:SPP,% Higham:2002:MPP,% Tisseur:2001:SPP% }. \NAMECITE{Pure}{% Higham:1999:BRL% }. \NAMECITE{{QDWH}}{% Sukkari:2019:QBS% }. \NAMECITE{{QDWH}-based}{% Sukkari:2019:QBS% }. \NAMECITE{{QR}}{% Bojanczyk:2003:SIL,% Cox:1998:SHQ,% Higham:2000:QFC% }. \NAMECITE{Quadratic}{% Guo:2009:DSH,% Higham:2002:SQM,% Guo:2008:DSH,% Higham:2000:NAQ,% Higham:2002:DDH,% Higham:2008:SSS,% Higham:2021:IMF% }. \NAMECITE{quadratric}{% Higham:2001:SQM% }. \NAMECITE{queueing}{% Meyer:1993:LAM% }. \NAMECITE{R}{% Higham:1997:RJR% }. \NAMECITE{Random}{% Higham:2021:RMG,% Higham:2020:SPB% }. \NAMECITE{Rank}{% Higham:2019:NPE,% Higham:2022:SBL% }. \NAMECITE{Real}{% Higham:1987:CRS,% Higham:1988:AFC,% Higham:1989:CFC,% Higham:1992:SMM,% Higham:1996:FCS,% Moonen:1993:LAL,% Higham:1998:FCS% }. \NAMECITE{Real-Time}{% Moonen:1993:LAL% }. \NAMECITE{Reducing}{% Dingle:2013:RIT% }. \NAMECITE{Refinement}{% Carson:2018:ASL,% Davies:2001:ACM,% Higham:1990:IRE,% Higham:1991:IRE,% Higham:1995:IRLa,% Higham:1995:IRLb,% Carson:2017:NAI,% Carson:2020:TPG,% Haidar:2018:HGT,% Haidar:2020:MPI,% Higham:1997:IRL% }. \NAMECITE{Regression}{% Higham:1990:CEB% }. \NAMECITE{regularization}{% Lin:2014:CSR% }. \NAMECITE{related}{% Hale:2008:CRM% }. \NAMECITE{Relation}{% Higham:1994:MSD% }. \NAMECITE{relative}{% Dingle:2013:RIT% }. \NAMECITE{Released}{% Higham:1992:LRM% }. \NAMECITE{Reliability}{% Hammarling:1993:CHW% }. \NAMECITE{Research}{% Higham:1996:RMB% }. \NAMECITE{resolvent}{% Aprahamian:2016:MEB% }. \NAMECITE{resolvent-based}{% Aprahamian:2016:MEB% }. \NAMECITE{Restoring}{% Higham:2016:RDS% }. \NAMECITE{Review}{% Higham:1990:RGH,% Higham:1990:RMJ,% Higham:1995:RHA,% Higham:1996:RAN,% Higham:1996:RDB,% Higham:1996:RMB,% Higham:1997:RJR,% Higham:1998:BNR,% Higham:1999:BRL,% Higham:1999:FBR,% Higham:1999:RPD,% Higham:2000:RJJ,% Higham:2001:RMA,% Higham:2002:RAN,% Higham:2002:RMO,% Higham:2005:BRS,% Higham:2006:RAJ,% Higham:2006:RMC,% Higham:2007:RLT% }. \NAMECITE{Reviews}{% Higham:1998:BNR% }. \NAMECITE{Revisited}{% Higham:2005:SSM,% Higham:2009:SSM% }. \NAMECITE{Rhapsodizing}{% Higham:2018:RAB% }. \NAMECITE{{Riccati}}{% Guo:2007:ISN% }. \NAMECITE{Right}{% Higham:1992:CPT% }. \NAMECITE{Right-Hand}{% Higham:1992:CPT% }. \NAMECITE{Rise}{% Higham:2017:RMA% }. \NAMECITE{risk}{% Georgescu:2018:ESC% }. \NAMECITE{Roadmap}{% Trefethen:2009:DHP% }. \NAMECITE{Root}{% Guo:2006:SNM,% Higham:1986:NMM,% Higham:1997:SIMa,% Higham:2005:FPM,% Bini:2005:AMR,% Higham:1997:SIMb% }. \NAMECITE{Roots}{% Higham:1987:CRS,% Higham:2011:RSM% }. \NAMECITE{Rorres}{% Higham:1995:RHA% }. \NAMECITE{Rounding}{% Higham:2019:NAP,% Connolly:2021:SRP% }. \NAMECITE{roundoff}{% Fischer:2017:AAM% }. \NAMECITE{Routines}{% Abdelfattah:2021:SBB% }. \NAMECITE{Row}{% Cox:1998:RWB,% Cox:2000:RWB% }. \NAMECITE{Row-Wise}{% Cox:1998:RWB,% Cox:2000:RWB% }. \NAMECITE{Rule}{% Higham:2002:RMO% }. \NAMECITE{S}{% Higham:1990:RMJ,% Higham:2000:RJJ% }. \NAMECITE{Same}{% Higham:1998:NWE% }. \NAMECITE{Satisfaction}{% Higham:2016:KGS% }. \NAMECITE{Scale}{% Moonen:1993:LAL,% Fasi:2021:GES% }. \NAMECITE{Scaling}{% Al-Mohy:2010:NSS,% Al-Mohy:2012:IIS,% Higham:2005:SSM,% Higham:2008:SSS,% Higham:2009:SSM,% Al-Mohy:2009:NSS,% Fasi:2019:APS% }. \NAMECITE{School}{% Ainsworth:1999:GSG% }. \NAMECITE{Schott}{% Higham:1997:RJR% }. \NAMECITE{{Schur}}{% Davies:2003:SPA,% Guo:2006:SNM,% Higham:2011:SPA,% Higham:2013:ISP,% Higham:2021:MDF% }. \NAMECITE{science}{% Dongarra:2020:NAH,% Higham:2018:TFD% }. \NAMECITE{Sciences}{% Higham:1993:HWM,% Higham:1994:HWM,% Higham:1998:HWM,% Higham:2020:HWM% }. \NAMECITE{Scientific}{% Higham:1996:RMB% }. \NAMECITE{Scientist}{% Higham:1994:WDM% }. \NAMECITE{Scientists}{% Higham:2001:RMA,% Higham:2006:RAJ% }. \NAMECITE{Search}{% Higham:1993:ODS% }. \NAMECITE{Searches}{% Higham:2002:SQM,% Higham:2001:SQM% }. \NAMECITE{Second}{% Higham:1990:RGH% }. \NAMECITE{{Section}}{% Higham:1997:MHI% }. \NAMECITE{Selected}{% Chan:2007:MMC,% Higham:1999:FBR% }. \NAMECITE{Semi}{% Higham:1990:ACD% }. \NAMECITE{Semi-definite}{% Higham:1990:ACD% }. \NAMECITE{Semidefinite}{% Higham:1988:CNS,% Anjos:2001:SPA% }. \NAMECITE{sensitivity}{% Higham:2008:SSS% }. \NAMECITE{separately}{% Al-Mohy:2015:NAC% }. \NAMECITE{Series}{% Higham:1993:CCL,% Higham:1996:CCL,% Higham:1997:CCL% }. \NAMECITE{Set}{% Abdelfattah:2021:SBB,% Dongarra:1990:ASL% }. \NAMECITE{Seventh}{% Higham:1995:RHA% }. \NAMECITE{Sharper}{% Higham:2020:SPB% }. \NAMECITE{{Sheffield}}{% Graham:2004:UAC% }. \NAMECITE{{SHMEM}}{% Bethune:2014:PAA% }. \NAMECITE{Short}{% Higham:2015:MFS% }. \NAMECITE{{Should}}{% Carlisle:1996:LSY% }. \NAMECITE{Shrinking}{% Higham:2016:RDS% }. \NAMECITE{{SIAG}}{% Higham:2003:SPS% }. \NAMECITE{{SIAG/LA}}{% Higham:2003:SPS% }. \NAMECITE{SIAM}{% Higham:1997:MHI,% Higham:2005:BRS,% Iserles:1987:SAN,% Higham:2016:KGS% }. \NAMECITE{Sides}{% Higham:1992:CPT% }. \NAMECITE{Sign}{% Higham:1994:MSD,% Higham:2004:CPD% }. \NAMECITE{Simulating}{% Higham:2019:SLP% }. \NAMECITE{simultaneously}{% Al-Mohy:2015:NAC% }. \NAMECITE{sine}{% Al-Mohy:2015:NAC,% Hargreaves:2005:EAM% }. \NAMECITE{Singular}{% Higham:1993:FPB,% Higham:1993:PSV,% Higham:1994:NPA,% Fasi:2021:GES% }. \NAMECITE{Snap}{% Higham:2018:SS% }. \NAMECITE{Snippets}{% Higham:2016:MWP% }. \NAMECITE{Society}{% Higham:2000:RJJ,% Higham:2002:RMO,% Higham:2001:PEC% }. \NAMECITE{softmax}{% Blanchard:2021:ACL% }. \NAMECITE{Software}{% Higham:1997:TLA,% Higham:1998:BNR,% Sukkari:2019:QBS% }. \NAMECITE{Solution}{% Carson:2018:ASL,% Guo:2007:ISN,% Higham:1988:FSV,% Higham:1994:SPI,% Carson:2017:NAI,% Corless:2007:SEA,% Haidar:2020:MPI,% Higham:2008:SSS% }. \NAMECITE{Solutions}{% Higham:1989:AST,% Georgescu:2018:ESC% }. \NAMECITE{Solved}{% Higham:2008:BEP,% Higham:2007:BEP% }. \NAMECITE{Solvers}{% Demmel:1990:IEB,% Demmel:1993:IEB,% Higham:1995:SPT,% Anzt:2019:APB,% Haidar:2018:HGT% }. \NAMECITE{Solving}{% Bojanczyk:2003:SIL,% Cox:1997:ASN,% Cox:1999:ASN,% Davies:2001:ACM,% Guo:2009:DSH,% Higham:1987:EAB,% Higham:1990:IRE,% Higham:1990:SAA,% Higham:1991:IRE,% Higham:1991:SLE,% Higham:1993:FPB,% Higham:2001:SQM,% Higham:2002:SQM,% Higham:2019:SMH,% Higham:2022:SBL,% Guo:2008:DSH,% Higham:2021:ELP% }. \NAMECITE{some}{% Meyer:1993:LAM% }. \NAMECITE{Sons}{% Higham:1999:BRL% }. \NAMECITE{Sorensen}{% Higham:2000:RJJ% }. \NAMECITE{Space}{% Cox:1997:ASN,% Cox:1999:ASN% }. \NAMECITE{Sparse}{% Higham:1994:SPI,% Anzt:2019:APB,% Carson:2017:NAI% }. \NAMECITE{specified}{% Cheng:2001:ALM,% Fasi:2021:GES% }. \NAMECITE{{Spectra}}{% Higham:2007:RLT% }. \NAMECITE{Spectral}{% Nakatsukasa:2013:SES% }. \NAMECITE{Speed}{% Higham:2003:SPS,% Haidar:2018:HGT% }. \NAMECITE{Springer}{% Higham:1998:BNR,% Higham:2001:RMA% }. \NAMECITE{Springer-Verlag}{% Higham:1998:BNR,% Higham:2001:RMA% }. \NAMECITE{Square}{% Higham:1986:NMM,% Higham:1987:CRS,% Higham:1997:SIMa,% Higham:2005:FPM,% Higham:1997:SIMb% }. \NAMECITE{Squares}{% Bojanczyk:2003:SIL,% Cox:1997:ASN,% Cox:1997:SHQ,% Cox:1998:BEB,% Cox:1998:RWB,% Cox:1998:SHQ,% Cox:1999:ASN,% Cox:2000:RWB,% Bojanczyk:2003:ECI,% Carson:2020:TPG,% Cox:1999:BEB,% Higham:2021:ELP% }. \NAMECITE{Squaring}{% Al-Mohy:2010:NSS,% Al-Mohy:2012:IIS,% Higham:2005:SSM,% Higham:2009:SSM,% Al-Mohy:2009:NSS,% Fasi:2019:APS% }. \NAMECITE{Squeezing}{% Higham:2019:SMH% }. \NAMECITE{Stability}{% Cox:1997:ASN,% Cox:1997:SHQ,% Cox:1998:SHQ,% Cox:1999:ASN,% Demmel:1990:SBA,% Demmel:1992:SBA,% Demmel:1995:SBF,% DuCroz:1990:SMM,% DuCroz:1992:SMM,% Higham:1990:IRE,% Higham:1990:SAA,% Higham:1991:IRE,% Higham:1992:SMM,% Higham:1994:SPI,% Higham:1995:DPS,% Higham:1995:SDP,% Higham:1995:SPT,% Higham:1996:ASN,% Higham:1997:SBF,% Higham:1997:SDP,% Higham:1998:NAS,% Higham:1999:NAS,% Higham:1999:SBL,% Higham:2002:ASN,% Nakatsukasa:2012:BSI,% Higham:2004:NSB,% Higham:2008:SSS% }. \NAMECITE{Stable}{% Cox:1998:RWB,% Cox:2000:RWB,% Davies:2000:NSG,% Higham:1997:SIMa,% Higham:1997:SIMb,% Nakatsukasa:2013:SES,% Higham:2022:SBL% }. \NAMECITE{Stan}{% Higham:2005:BRS% }. \NAMECITE{Stand}{% Higham:1993:CCL,% Higham:1996:CCL,% Higham:1997:CCL% }. \NAMECITE{state}{% Duff:1997:SAN,% Iserles:1987:SAN% }. \NAMECITE{Stationary}{% Higham:1993:CEA,% Higham:1993:FPB% }. \NAMECITE{Statistical}{% Higham:1987:NLA% }. \NAMECITE{Statistics}{% Higham:1997:RJR% }. \NAMECITE{step}{% Al-Mohy:2010:CSA% }. \NAMECITE{Stochastic}{% Connolly:2021:SRP,% Higham:2011:RSM% }. \NAMECITE{{Strassen}}{% Balle:1993:STM% }. \NAMECITE{{Strassen}-Type}{% Balle:1993:STM% }. \NAMECITE{Structure}{% Borsdorf:2010:CNC,% Higham:2018:SS,% Lin:2014:CSR% }. \NAMECITE{Structured}{% Higham:1992:BEC,% Higham:1996:SBE,% Higham:1998:SBE,% Higham:1999:SBE,% Tisseur:2001:SPP,% Tisseur:2002:SPP% }. \NAMECITE{Student}{% Ainsworth:1999:GSG% }. \NAMECITE{Study}{% Higham:2005:BRS,% Moonen:1993:LAL% }. \NAMECITE{Subprograms}{% Abdelfattah:2021:SBB,% Dongarra:1990:ASL% }. \NAMECITE{sum}{% Blanchard:2021:ACL% }. \NAMECITE{Summation}{% Blanchard:2020:CFA,% Higham:1993:AFP% }. \NAMECITE{Summer}{% Ainsworth:1999:GSG% }. \NAMECITE{superalgebras}{% Higham:2021:IMF% }. \NAMECITE{Survey}{% Higham:1987:SCN,% Higham:1994:SCPa,% Higham:1994:SCPb,% Higham:1996:RMB% }. \NAMECITE{{SVD}}{% Higham:1998:FCP,% Higham:2000:FCP,% Higham:2000:QFC,% Nakatsukasa:2013:SES,% Sukkari:2019:QBS% }. \NAMECITE{{Sylvester}}{% Higham:2008:CSE,% Higham:2014:SIA% }. \NAMECITE{Symbolic}{% Brown:2007:PIS% }. \NAMECITE{Symmetric}{% Cheng:1996:MCA,% Cheng:1998:MCA,% Davies:2001:ACM,% Higham:1988:CNS,% Higham:1988:SPP,% Higham:1996:FCS,% Higham:1997:SBF,% Higham:2006:SLM,% Higham:2007:SLM,% Nakatsukasa:2013:SES,% Higham:1998:FCS,% Higham:1999:SBL,% Higham:2021:ELP% }. \NAMECITE{Symposium}{% Brown:2007:PIS,% Burgess:2017:ISC% }. \NAMECITE{System}{% Demmel:1990:IEB,% Demmel:1993:IEB,% Higham:1995:SPT,% Anzt:2019:APB% }. \NAMECITE{Systems}{% Carson:2018:ASL,% Higham:1987:EAB,% Higham:1988:FSV,% Higham:1989:AST,% Higham:1990:BEG,% Higham:1990:SAA,% Higham:1992:BEC,% Higham:1992:CPT,% Higham:1993:FPB,% Higham:1994:SPI,% Higham:1995:IRLa,% Higham:2019:SMH,% Sukkari:2019:QBS,% Carson:2017:NAI,% Grammont:2011:FAN,% Haidar:2020:MPI,% Higham:1997:IRL,% Higham:2021:ELP,% Higham:2022:SBL% }. \NAMECITE{T}{% Higham:2006:RMC,% Higham:2017:CHB% }. \NAMECITE{Tables}{% Higham:1993:CCL,% Higham:1996:CCL,% Higham:1997:CCL% }. \NAMECITE{Technical}{% Higham:1996:RMB% }. \NAMECITE{Tensor}{% Blanchard:2019:MPB,% Blanchard:2020:MPB,% Haidar:2018:HGT,% Haidar:2020:MPI% }. \NAMECITE{Test}{% Dongarra:1990:ASL,% Higham:1989:CTM,% Higham:1991:ACT,% Higham:1993:TMT,% Higham:1995:TMT% }. \NAMECITE{Testing}{% Deadman:2016:TMF,% Higham:1997:TLA% }. \NAMECITE{th}{% Bini:2005:AMR,% Higham:2011:RSM,% Guo:2006:SNM% }. \NAMECITE{Their}{% Davies:2000:NSG,% Higham:2009:DMP,% Higham:2013:ISP% }. \NAMECITE{Theorem}{% Higham:2002:RMO% }. \NAMECITE{Theory}{% Aprahamian:2016:MIT,% Higham:1990:RMJ,% Higham:1992:CPT,% Higham:1992:PTB,% Higham:1994:SCPa,% Higham:1994:SCPb,% Higham:2006:RMC,% Higham:2008:FMT,% Bojanczyk:2003:ECI,% Higham:1993:PTBa,% Higham:1993:PTBb,% Higham:2002:MPP,% Higham:2008:CSE% }. \NAMECITE{Three}{% Carson:2018:ASL,% Carson:2020:TPG,% Higham:1991:TMP,% Higham:1992:SMM% }. \NAMECITE{Three-precision}{% Carson:2020:TPG% }. \NAMECITE{Thumb}{% Higham:2002:RMO% }. \NAMECITE{Time}{% Moonen:1993:LAL% }. \NAMECITE{timely}{% Higham:2018:TFD% }. \NAMECITE{tiny}{% Dingle:2013:RIT% }. \NAMECITE{Tool}{% Higham:1994:BVT% }. \NAMECITE{Toolbox}{% Higham:2015:MCT,% Higham:1993:TMT,% Higham:1995:TMT,% Higham:2002:MCT,% Higham:2008:MFT% }. \NAMECITE{Trefethen}{% Higham:2007:RLT% }. \NAMECITE{Triangular}{% Higham:1987:SCN,% Higham:1989:AST,% Higham:1994:SPI,% Higham:1995:SPT,% Higham:1983:UBC% }. \NAMECITE{Tribute}{% Higham:1999:FTP% }. \NAMECITE{Tridiagonal}{% Higham:1986:EAC,% Higham:1990:BEG,% Higham:1997:SBF,% Higham:1999:SBL% }. \NAMECITE{Trigonometric}{% Aprahamian:2016:MIT,% Higham:2017:CAT% }. \NAMECITE{Tunable}{% Fasi:2021:MTI% }. \NAMECITE{Type}{% Balle:1993:STM% }. \NAMECITE{Ueberhuber}{% Higham:1998:BNR% }. \NAMECITE{UK}{% Burgess:2017:ISC,% Higham:1996:RMB,% Higham:1997:MHI% }. \NAMECITE{{UKIE}}{% Graham:2004:UAC% }. \NAMECITE{Underdetermined}{% Demmel:1990:IEB,% Demmel:1993:IEB% }. \NAMECITE{University}{% Brown:2007:PIS,% Higham:1990:RGH,% Higham:1990:RMJ,% Higham:1996:RAN,% Higham:2002:RAN,% Iserles:1987:SAN% }. \NAMECITE{Unwinding}{% Higham:2018:UN,% Aprahamian:2014:MUF% }. \NAMECITE{Upgrade}{% Carlisle:1996:LSY% }. \NAMECITE{Upper}{% Higham:1983:UBC% }. \NAMECITE{USA}{% Higham:2000:RJJ,% Higham:2002:RMO% }. \NAMECITE{Use}{% Higham:1990:FMM% }. \NAMECITE{Users}{% Higham:1994:BVT% }. \NAMECITE{Using}{% Braconnier:1995:CFV,% Braconnier:1996:CFV,% Deadman:2016:TMF,% Haidar:2020:MPI% }. \NAMECITE{v}{% Higham:1993:CCL,% Higham:1996:CCL,% Higham:1997:CCL% }. \NAMECITE{Value}{% Higham:1993:PSV,% Higham:1994:NPA% }. \NAMECITE{Values}{% Braconnier:1995:CFV,% Braconnier:1996:CFV,% Fasi:2021:GES% }. \NAMECITE{{Vandermonde}}{% Higham:1987:EAB,% Higham:1988:FSV,% Higham:1990:SAA% }. \NAMECITE{{Vandermonde}-like}{% Higham:1988:FSV,% Higham:1990:SAA% }. \NAMECITE{variable}{% Cheng:2000:ALM% }. \NAMECITE{Vector}{% Dayde:1994:PBI% }. \NAMECITE{Verlag}{% Higham:1998:BNR,% Higham:2001:RMA% }. \NAMECITE{Versatile}{% Higham:1994:BVT% }. \NAMECITE{Version}{% Higham:1995:RHA,% Higham:1995:TMT,% Higham:2002:MCT% }. \NAMECITE{Versus}{% Higham:2018:HPA% }. \NAMECITE{via}{% Higham:1993:PSV,% Higham:2016:RDS,% Lin:2014:CSR% }. \NAMECITE{Victor}{% Higham:1996:RDB% }. \NAMECITE{{VIII}}{% Ainsworth:1999:GSG% }. \NAMECITE{Volume}{% Higham:1996:RDB,% Higham:1996:RMB% }. \NAMECITE{Vorst}{% Higham:2000:RJJ% }. \NAMECITE{W}{% Higham:1998:BNR% }. \NAMECITE{Wagon}{% Higham:2005:BRS% }. \NAMECITE{Waldvogel}{% Higham:2005:BRS% }. \NAMECITE{Walsh}{% Freeman:2018:JWF% }. \NAMECITE{was}{% Higham:1998:NWE% }. \NAMECITE{Waterloo}{% Brown:2007:PIS% }. \NAMECITE{Wave}{% Nadukandi:2018:CWK% }. \NAMECITE{Wave-Kernel}{% Nadukandi:2018:CWK% }. \NAMECITE{Weighted}{% Cox:1997:SHQ,% Cox:1998:SHQ% }. \NAMECITE{Which}{% Higham:1994:WDM% }. \NAMECITE{Wiley}{% Higham:1995:RHA,% Higham:1997:RJR,% Higham:1999:BRL,% Higham:1999:RPD% }. \NAMECITE{{Wilkinson}}{% Hammarling:2019:CJH% }. \NAMECITE{Wise}{% Cox:1998:RWB,% Cox:2000:RWB% }. \NAMECITE{Within}{% Higham:1990:EFM% }. \NAMECITE{Word}{% Higham:2016:MWP% }. \NAMECITE{Words}{% Higham:2008:HOW% }. \NAMECITE{Works}{% Chan:2007:MMC% }. \NAMECITE{Workshop}{% Hammarling:1993:CHW,% Higham:1992:IWP,% Meyer:1993:LAM% }. \NAMECITE{Writing}{% Higham:1993:HWM,% Higham:1994:HWM,% Higham:1998:HWM,% Higham:2020:HWM% }. \NAMECITE{{X}}{% Higham:2005:BRS% }. \NAMECITE{xii}{% Higham:2005:BRS% }. \NAMECITE{{xxvi}}{% Higham:1993:CCL,% Higham:1996:CCL,% Higham:1997:CCL% }. \NAMECITE{Year}{% Graham:2004:UAC,% Meyer:1993:LAM% }. \NAMECITE{York}{% Higham:1995:RHA% }.