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It was produced automatically %% with the UNIX pipeline %% %% biblex xxx.bib | \ %% gawk -f keywords.awk | \ %% egrep 'entrytype$' | \ %% gawk -f fmtwords.awk >xxx.xwx %% %% by beebe@gamma.math.utah.edu on Fri Nov 17 13:08:10 MST 2023 %%====================================================================== \ifx \NAMECITE \undefined % User can override this definition \def \NAMECITE #1#2{{\bf #1} \cite{#2}} \fi \NAMECITE{$(A,B)$}{% Kaagstrom:1996:CES% }. \NAMECITE{$(AR-LB, DR-LE) = (C,F)$}{% Kaagstrom:1994:PAG% }. \NAMECITE{$(YA - DZ, YC - BZ) = (E,F)$}{% Chu:1987:SME% }. \NAMECITE{$1$}{% LIA94% }. \NAMECITE{$2$}{% Barlow:1998:GGE,% matlab:SMT% }. \NAMECITE{$ 27 $}{% Goldberg:1967:BED% }. \NAMECITE{$2 \times 2$}{% Winograd:1971:MM% }. \NAMECITE{$3 \times 3$}{% Laderman:1976:NAM% }. \NAMECITE{$8$}{% Goldberg:1967:BED% }. \NAMECITE{$\{a_{ij}\}$}{% Asplund:1959:IMW% }. \NAMECITE{$a_{ij}=0$}{% Asplund:1959:IMW% }. \NAMECITE{${AMD}5_K86$}{% Moore:1998:MCP% }. \NAMECITE{$AX+XB=C$}{% 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Dongarra:1984:ILA,% Fischer:1974:FSC,% Gallivan:1990:PAD,% Gardiner:1991:PAA,% Gentleman:1974:MAR,% Greenbaum:1994:LCG,% Gregory:1969:CMT,% Gustafson:1996:MPS,% Gustavson:1997:RLA,% Hammer:1993:NTV,% Hida:2001:AQD,% Higham:1986:EAC,% Higham:1987:EAB,% Higham:1990:SAA,% Higham:1999:NAS,% Higham:2002:ASN,% Hockney:1988:PCA,% Hoffmann:1989:IAG,% Hull:1982:PCE,% Kaagstrom:1992:DSM,% Kaagstrom:1996:CES,% Kaagstrom:1996:LSA,% Kahan:1973:IAL,% Kao:2000:LTA,% Kenney:1992:MSA,% Knuth:1997:FA,% Knuth:1998:SA,% Kreczmar:1976:MRS,% Kuczynski:1992:ELE,% Laderman:1992:PAA,% Larson:1980:ARE,% Leuprecht:1982:PAR,% Lu:1995:FAC,% Malcolm:1972:ARP,% Mathias:1996:AAO,% Milenkovic:1988:VIG,% Miller:1980:SRA,% Pan:1978:SAO,% Pan:2001:SMP,% Parhami:2000:CAA,% Parlett:1971:AAR,% Powell:1975:VUM,% Powell:1998:DSA,% Priest:1991:AAP,% Pryce:1985:MEA,% Rowan:1990:FSA,% Russinoff:1998:MCP,% Schreiber:1988:BAP,% Sedgewick:1988:A,% Smoktunowicz:1995:NSC,% Stewart:2001:MAV,% Stummel:1980:REA,% Stummel:1981:PTE,% Tang:1991:TLA,% Torczon:1997:CPS,% Tsao:1983:SAE,% Vitenko:1968:OAA,% Wozniakowski:1980:REA,% Yalamov:1995:GSA,% Muller:1997:EFA% }. \NAMECITE{Almost}{% Yalamov:2000:ASS% }. \NAMECITE{{AMD}}{% Russinoff:1998:MCP% }. \NAMECITE{{AMD-K7}}{% Russinoff:1998:MCP% }. \NAMECITE{Analyses}{% Chang:1996:NPA,% Chang:1997:PAQ,% Chang:2001:CPA,% Kahan:1996:IPE,% Meinguet:1983:REA,% Wilkinson:1974:CEA% }. \NAMECITE{Analysis}{% Abdelmalek:1971:REA,% Alonso:1997:BEA,% Amodio:1994:BEA,% Anderson:1971:SAT,% Arioli:1985:EAA,% Arioli:1986:EAA,% Babuska:1969:NSM,% Barlow:1981:PEA,% Barlow:1985:PEA,% Barlow:1988:EAI,% Barlow:1991:EAP,% Bartels:1991:TTM,% Bellman:1970:IMA,% Bhatia:1997:MA,% Bjorck:1987:SAM,% Bjorck:1991:CWP,% Bliss:1992:API,% Boor:1977:BEA,% Brent:1970:EAA,% Brunet:1986:CTS,% Buchanan:1992:NMA,% Bunch:1971:ADP,% Butcher:1987:NAO,% Carr:1959:EAF,% Chatelin:1992:ECT,% Christiansen:1994:ECN,% Conte:1980:ENA,% Demmel:1987:EAA,% Eirola:1993:ABE,% Fox:1978:AAJ,% Gastinel:1983:LNA,% Gentleman:1969:EAG,% Gentleman:1975:EAD,% Goldstine:1977:HNA,% Gulliksson:1995:BEA,% Henrici:1964:ENA,% Higham:1987:EAB,% Higham:1990:ACD,% Higham:1990:SAA,% Higham:1993:CEA,% Higham:2000:NAQ,% Hildebrand:1974:INA,% Horn:1985:MA,% Horn:1991:TMA,% Householder:1964:TMN,% Isaacson:1966:ANM,% Jalby:1991:SAI,% Jennings:1974:DEA,% Kaagstrom:1994:PAG,% Kahan:1972:SEA,% Kahan:1991:ARL,% Kielbasinski:1987:NRE,% Knight:1993:EAS,% Korner:1988:FA,% Lancaster:1966:EAN,% Lanczos:1956:AA,% Larson:1980:ARE,% Larson:1983:ASR,% Linnainmaa:1974:ASK,% Manteuffel:1981:IAA,% Mathias:1996:AAO,% Miller:1975:SRA,% Miller:1976:GTR,% Miller:1980:SRA,% Miller:19xx:ASR,% Miller:19xx:SRA,% Moler:1983:SVA,% Moore:1966:IA,% Moore:1979:MAI,% Muller:1983:REA,% Neal:1992:GAG,% Neumaier:1985:IPR,% Neumann:1984:BEA,% Newbery:1973:EAF,% Newbery:1974:EAP,% Nickel:1977:IA,% OCinneide:1993:EPT,% Oliver:1977:EAM,% Olver:1983:EAC,% Ortega:1963:EAH,% Ortega:1972:NAS,% Paige:1973:EAM,% Parlett:1971:AAR,% Parlett:1990:CJH,% Pryce:1981:REA,% Pryce:1985:MEA,% Ramos:1971:REA,% Rowan:1990:FSA,% Sautter:1978:EAG,% Scarborough:1950:NMA,% Sharangpani:1994:SAF,% Smale:1990:SRF,% Smith:1975:SAP,% Sorensen:1985:APP,% Stewart:1971:EAA,% Stoer:1980:INA,% Stoutemyer:1977:AEA,% Stummel:1980:REA% }. \NAMECITE{Analysis}{% Stummel:1985:FEAa,% Stummel:1985:FEAb,% Sweeney:1965:AFP,% Tang:1991:TLA,% Tasche:2001:WAC,% Trefethen:1992:DNA,% Tsao:1983:SAE,% Vignes:1986:ESM,% Wendroff:1966:TNA,% Wijngaarden:1966:NAI,% Wilkinson:1960:EAF,% Wilkinson:1961:EAD,% Wilkinson:1962:EAE,% Wilkinson:1965:EAT,% Wilkinson:1968:PEA,% Wilkinson:1971:MEA,% Wilkinson:1985:SAE,% Wilkinson:1986:EAR,% Wozniakowski:1980:REA,% Yeung:1997:PAG,% Zha:1993:CPA,% Ziv:1982:RDE,% Wozniakowski:1978:REA,% Chan:1983:ACS% }. \NAMECITE{Analyst}{% Wilkinson:1971:SCN% }. \NAMECITE{{Andr\'e}}{% Brezinski:1996:ALC% }. \NAMECITE{Andrew}{% Campbell-Kelly:1984:RAT% }. \NAMECITE{Anecdotes}{% Tropp:1984:FA% }. \NAMECITE{Angles}{% Kahan:1997:MAA% }. \NAMECITE{Annotated}{% Nashed:1976:ABG% }. \NAMECITE{Annual}{% Edelman:1991:FAL% }. \NAMECITE{Anomalies}{% Kahan:1985:AIA% }. \NAMECITE{Anomalous}{% Benford:1938:LAN% }. \NAMECITE{{ANSI}}{% ieee85% }. \NAMECITE{{ANSI/IEEE}}{% ieee85% }. \NAMECITE{Answers}{% Fox:1971:HGM% }. \NAMECITE{Application}{% Boyle:1994:AFS,% Epton:1980:MSA,% Higham:2000:BAM,% Porte:1974:ESE,% Stewart:1980:EGR,% Turing:1936:CNA,% Benoit:1924:NMR,% Benoit:1924:NMR,% Chatelin:1990:PRE% }. \NAMECITE{Applications}{% Aggarwal:1979:REM,% Anderson:1992:GQF,% Barnett:1968:SAL,% Bliss:1992:API,% Chan:1992:SAR,% Datta:1988:MEA,% Ferguson:1995:ECS,% Gu:1994:ECS,% Hedayat:1999:OAT,% Higham:1986:CPD,% Higham:1988:FCE,% Higham:1989:MNP,% Hodel:1992:RAL,% Hough:1981:API,% Magnus:1979:CMS,% Magnus:1999:MDC,% McCracken:1964:NMF,% Meyer:1977:CPM,% Moore:1979:MAI,% Nashed:1976:ABG,% Pan:1991:INI,% Rall:1981:ADT,% Rienen:2001:NMC,% Smith:1965:ASO,% Tang:1981:BDV,% Tyrtyshnikov:1991:CTM,% Dahlquist:1983:MMM,% Kielbasinski:1973:SAC% }. \NAMECITE{Applied}{% 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Vignes:1986:ESM,% Krishnan:2001:PEM% }. \NAMECITE{Eigendecompositions}{% Demmel:1987:CSE% }. \NAMECITE{Eigenproblem}{% Arnold:1984:GEA,% Bai:1993:CCN% }. \NAMECITE{Eigenproblems}{% Bai:1997:IFP% }. \NAMECITE{Eigenspaces}{% Kaagstrom:1996:CES% }. \NAMECITE{Eigensystem}{% Garbow:1977:MER,% Mathias:1995:AEC,% Smith:1976:MER% }. \NAMECITE{Eigensystems}{% Golub:1976:ICE,% Stewart:2001:MAV% }. \NAMECITE{Eigenvalue}{% Bai:1997:TMC,% Chandrasekaran:1994:BEE,% Chatelin:1990:PRE,% Cybenko:1986:CME,% Demmel:1995:CSB,% Edelman:1991:DMS,% Edelman:1993:ERR,% Kuczynski:1992:ELE,% Li:1992:HDA,% Ortega:1963:EAH,% Parlett:1964:LMA,% Parlett:1965:MEP,% Parlett:1998:SEP,% Rutishauser:1958:SEP,% Stewart:1973:EPB,% Sun:1995:NBP,% Tisseur:2001:NMF,% Tisseur:2001:QEP,% Wilkinson:1962:EAE,% Wilkinson:1965:AEP,% Wilkinson:1970:AEP% }. \NAMECITE{Eigenvalues}{% Andrew:1990:ESV,% Chan:1983:AFS,% Chan:1983:DEE,% Chatelin:1993:EM,% Chu:2000:FRA,% Dixon:1983:EEE,% Edelman:1988:ECN,% Edelman:1994:HME,% Edelman:1995:PRC,% Frank:1958:CEC,% Higham:2001:BEM,% Hyman:1957:EEG,% Ikramov:1998:RNC,% Kaagstrom:1996:CES,% Loan:1987:ECE,% Reichel:1992:EPE,% Taussky:1962:EFM,% Zha:1995:NCS% }. \NAMECITE{Eigenvectors}{% Hyman:1957:EEG,% Loan:1987:ECE% }. \NAMECITE{Einf{\"u}hrung}{% Kielbasinski:1988:NLA,% Stoer:1972:ENM% }. \NAMECITE{einiger}{% Neumaier:1974:REV% }. \NAMECITE{{EISPACK}}{% Garbow:1977:MER,% Smith:1976:MER% }. \NAMECITE{Electrodynamics}{% Rienen:2001:NMC% }. \NAMECITE{Electronic}{% Dongarra:1987:DMS,% Longley:1967:ALS% }. \NAMECITE{Element}{% Arioli:2000:SCC% }. \NAMECITE{Elementary}{% Cody:1980:SME,% Cody:1993:ACP,% Conte:1980:ENA,% Gal:1991:AEM,% Hull:1994:ICE,% Kahan:1987:BCC,% Lefevre:2001:WCC,% Lehoucq:1996:CEU,% Mendelsohn:1956:SEP,% Muller:1997:EFA,% Skeel:1993:ENC,% Stummel:1980:REA,% Tang:1991:TLA,% Ziv:1991:FEE% }. \NAMECITE{Elements}{% Chan:1983:AFS,% Chan:1983:DEE,% Chatelin:1992:ECT,% Chu:1999:CMP,% Henrici:1964:ENA,% Stewart:1974:MPE,% Thisted:1988:ESC% }. \NAMECITE{Elicited}{% Severance:1998:IOM% }. \NAMECITE{Elimination}{% Alonso:1997:BEA,% Barlow:1985:PEA,% Barlow:1998:GGE,% Bohte:1975:BRE,% Chu:1985:NEE,% Cline:1973:EMS,% Cohen:1974:NPS,% Cox:1999:RWB,% Cryer:1968:PSG,% Curtis:1972:ASM,% Dax:1977:PTS,% Dax:1982:PPS,% Day:1988:GGE,% Edelman:1992:CPC,% Foster:1994:GEP,% Foster:1997:GFE,% Gasca:1992:TPN,% George:2002:GFG,% Gould:1991:GGE,% Higham:1989:LGF,% Higham:1990:BEG,% Higham:1990:HAG,% Ikramov:2000:BGF,% Li:1998:MSG,% Macleod:1989:SSG,% Malyshev:2000:NSG,% Mead:2001:SPS,% Neal:1992:GAG,% Olver:1982:PEB,% Peters:1975:SGJ,% Plemmons:1974:LLS,% Reid:1971:NSG,% Sautter:1978:EAG,% Skeel:1979:SNS,% Skeel:1980:IRI,% Sorensen:1985:APP,% Stewart:1974:MPE,% Stewart:1995:GSG,% Stewart:1997:TMG,% Strassen:1969:GEO,% Stummel:1982:OEE,% Stummel:1985:FEAa,% Stummel:1985:FEAb,% Stummel:1985:SOE,% Trefethen:1985:TMG,% Trefethen:1990:ACS,% Vavasis:1989:GEP,% Wright:1993:CPW,% Yeung:1997:PAG,% vanVeldhuizen:1977:NPP,% Businger:1971:MNS,% Govaerts:1990:BEO,% Lauchli:1961:JEA% }. \NAMECITE{Elliptic}{% Bank:1977:MAE% }. \NAMECITE{Empirical}{% Whaley:2001:AEO% }. \NAMECITE{endlicher}{% Neumaier:1974:REV% }. \NAMECITE{{Engine}}{% Turing:1945:PDM,% Wilkinson:1948:ACE,% Wilkinson:1948:PRA% }. \NAMECITE{Engineering}{% Acton:1996:RCM,% Bleher:1987:SFE,% IBM:1988:ESS,% McCracken:1964:NMF,% Miller:1984:ENS% }. \NAMECITE{Engineering/Scientific}{% Bleher:1987:SFE% }. \NAMECITE{Engineers}{% Hamming:1973:NMS% }. \NAMECITE{Enhances}{% Higham:1990:IRE,% Higham:1991:IRE% }. \NAMECITE{Enigma}{% Campbell-Kelly:1984:RAT,% Hodges:1983:ATE% }. \NAMECITE{Enough}{% Forsythe:1970:PCW,% Goldberg:1967:BED% }. \NAMECITE{Entries}{% Ikramov:1998:RNC,% Zha:1995:NCS% }. \NAMECITE{Entrywise}{% OCinneide:1993:EPT% }. \NAMECITE{{Entscheidungsproblem}}{% Turing:1936:CNA% }. \NAMECITE{Environment}{% Ford:1978:PET% }. \NAMECITE{Equality}{% Barlow:1988:EAI,% Barlow:1988:IME,% Barlow:1992:NDC,% Cox:1999:ASN,% Cox:1999:RWB,% Elden:1980:PTL,% Loan:1985:MWE% }. \NAMECITE{Equality-Constrained}{% Barlow:1988:IME,% Loan:1985:MWE% }. \NAMECITE{Equation}{% Ashcraft:1998:ASI,% Baksalary:1979:ME,% Baksalary:1980:ME,% Barnett:1968:SAL,% Bartels:1972:ASM,% Bhatia:1997:HWS,% Byers:1984:LSC,% Byers:1985:NCA,% Byers:1987:SAR,% Datta:1988:MEA,% Douglas:1959:REN,% Forsythe:1969:SQE,% Forsythe:1969:WSQ,% Gahinet:1990:SSD,% Gardiner:1992:AFS,% Gardiner:1992:SSM,% Hammarling:1982:NSS,% Hewer:1988:SSL,% Higham:2000:NAQ,% Hodel:1992:RAL,% Hu:1992:KSM,% Kaagstrom:1989:GSM,% Kaagstrom:1992:DSM,% Kaagstrom:1994:PAG,% Kaagstrom:1996:LSA,% Kahan:1986:SRC,% Miller:1988:ISM,% Moler:1972:ALE,% Roberts:1980:LMR,% Stewart:1992:NGS,% Sylvester:1884:EM,% Wachpress:1988:ISL,% Zietak:1985:PCI% }. \NAMECITE{Equations}{% Alpert:1993:WLB,% Arnold:1984:GEA,% Atanasoff:1940:CMS,% Barron:1960:SSL,% Barwell:1976:CAS,% Bjorck:1970:SVS,% Bjorck:1987:SAM,% Bollen:1984:NSD,% Borwein:1989:RME,% Bowdler:1966:SRC,% Bunch:1971:DMS,% Butcher:1987:NAO,% Buzbee:1970:DMS,% Chandrasekaran:1995:SSC,% Chartres:1967:CEB,% Chu:1987:SME,% Coomes:1995:RCS,% Crout:1941:SME,% Dax:1990:CLS,% Demmel:1985:IAS,% Dennis:1983:NMU,% Dongarra:2001:PVC,% Duff:1979:DSS,% Duff:1982:MSF,% Epton:1980:MSA,% Forsythe:1953:SLA,% Foster:1991:MNE,% Fox:1948:NSA,% Gardiner:1991:PAA,% Ghavimi:1995:BES,% Ghavimi:1995:RBD,% Gill:1951:PSS,% Gragg:1976:SVS,% Griewank:1985:SNE,% Hairer:1991:SOD,% Henrici:1962:DVM,% Higham:1990:IRE,% Higham:1991:IRE,% Hochbruck:1995:PKS,% Kelley:1995:IML,% Kenney:1990:SAD,% Kenney:1992:MSA,% Kovarik:1976:CAS,% Kuperman:1971:ALA,% Lancaster:1970:ESL,% Laub:1979:SMS,% Lay-Yong:1989:MSL,% Martin:1966:IRS,% Mendelsohn:1956:SEP,% Oettli:1964:CAS,% Ostrowski:1973:SEE,% Paige:1973:EAM,% Penzl:1998:NSG,% Peters:1971:PPA,% Rheinboldt:1976:MIC,% Rohn:1989:SLI,% Shampine:1994:NSO,% Snyder:1955:ISS,% Uspensky:1948:TE,% Varah:1972:SBT,% Verzuh:1949:SSL,% Vitasek:1969:NSS,% Weiss:1986:ACN,% Westlake:1968:HNM,% Wozniakowski:1977:NSS,% Zielke:1988:SRM,% Benoit:1924:NMR,% Dahlquist:1983:MMM% }. \NAMECITE{Equilibration}{% Bunch:1971:ESM,% McKeeman:1962:ACE,% Skeel:1981:EER,% Sluis:1969:CNE,% Sluis:1970:CEP% }. \NAMECITE{Equilibria}{% Govaerts:2000:NMB% }. \NAMECITE{Equivalence}{% Demmel:1983:CNE% }. \NAMECITE{Equivalent}{% Sylvester:1851:RBM% }. \NAMECITE{Ergodic}{% Petersen:1981:ET% }. \NAMECITE{Erreurs}{% Porte:1974:ESE% }. \NAMECITE{Error}{% Abdelmalek:1971:REA,% Aggarwal:1979:REM,% Alonso:1997:BEA,% Amodio:1994:BEA,% Arioli:1985:EAA,% Arioli:1986:EAA,% Arioli:1989:SSL,% Ashenhurst:1965:EEC,% Barlow:1981:DAR,% Barlow:1981:PEA,% Barlow:1985:PEA,% Barlow:1985:RED,% Barlow:1988:EAI,% Barlow:1991:EAP,% Benschop:1971:MSE,% Bjorck:1991:CWP,% Bliss:1992:API,% Boley:1994:FPF,% Boor:1977:BEA,% Brent:1970:EAA,% Brunet:1986:CTS,% Carr:1959:EAF,% Chartres:1967:CEB,% Chatelin:1990:PRE,% Christiansen:1994:ECN,% Chu:1985:NEE,% Cox:1999:BEB,% Demmel:1987:EAA,% Demmel:1993:IEB,% Demmel:2001:CCE,% Douglas:1959:REN,% Eirola:1993:ABE,% Enright:1989:NEC,% Fox:1978:AAJ,% Gentleman:1969:EAG,% Gentleman:1975:EAD,% Ghavimi:1995:BES,% Goodman:1975:REP,% Goodman:1985:REF,% Gulliksson:1995:BEA,% Henrici:1963:EPD,% Henrici:1980:MPR,% Higham:1987:EAB,% Higham:1990:BEG,% Higham:1990:CEB,% Higham:1992:BEC,% Higham:1993:CEA,% Higham:1993:PTB,% Iri:1991:HAD,% Jennings:1974:DEA,% Jordan:1968:EEG,% Kahan:1972:SEA,% Kahan:1996:IPE,% Kielbasinski:1987:NRE,% Knight:1993:EAS,% Kubota:1991:PFP,% Lancaster:1966:EAN,% Larson:1980:ARE,% Larson:1983:ASR,% Linnainmaa:1976:TEA,% Lynn:1964:REM,% Meinguet:1983:REA,% Muller:1983:REA,% Neumaier:1985:IPR,% Neumann:1984:BEA,% Newbery:1973:EAF,% Newbery:1974:EAP,% OCinneide:1993:EPT,% Oettli:1964:CAS,% Oliver:1977:EAM,% Oliver:1979:REP,% Olver:1978:NAE,% Olver:1982:PEB,% Olver:1983:EAC,% Olver:1986:EBP,% Ortega:1963:EAH,% Paige:1973:EAM,% Pryce:1981:REA,% Pryce:1984:NMR,% Pryce:1985:MEA,% Quinlan:1994:REL,% Quinn:1990:REL,% Ramos:1971:REA,% Sautter:1978:EAG,% Schonfelder:1980:ECP,% Stewart:1971:EAA,% Stewart:1973:EPB,% Stoutemyer:1977:AEA,% Stummel:1980:REA,% Stummel:1982:OEE,% Stummel:1985:FEAa,% Stummel:1985:FEAb,% Stummel:1985:SOE,% Sun:1992:REP,% Tang:1991:TLA,% Tasche:2001:WAC,% Tienari:1970:SMR,% Tsao:1983:SAE% }. \NAMECITE{Error}{% Urabe:1968:RED,% Vignes:1986:ESM,% Wilkinson:1960:EAF,% Wilkinson:1961:EAD,% Wilkinson:1962:EAE,% Wilkinson:1965:EAT,% Wilkinson:1968:PEA,% Wilkinson:1971:MEA,% Wilkinson:1974:CEA,% Wilkinson:1985:SAE,% Wilkinson:1986:EAR,% Wozniakowski:1980:REA,% Zielke:1988:SRM,% Ziv:1982:RDE,% Ziv:1995:CAE,% Wozniakowski:1978:REA,% Stummel:1985:FEAa% }. \NAMECITE{Error-Control}{% Enright:1989:NEC% }. \NAMECITE{Errors}{% Acton:1996:RCM,% Bauer:1974:CGR,% Bodewig:1949:RRE,% Bohte:1975:BRE,% Chandrasekaran:1994:BEE,% Demmel:1989:FPE,% Descloux:1963:NRE,% Forsythe:1959:RNR,% Gauss:1995:TCO,% Golub:1962:BRE,% Henrici:1966:TPM,% Hull:1966:TPM,% Kahan:1965:FRR,% Kao:2000:LTA,% Langlois:2001:ALC,% Larson:1978:ECE,% Linnainmaa:1975:TAS,% Notay:1993:CRC,% Pena:1996:PSL,% Ross:1965:RTE,% Scherer:1980:SNR,% Skeel:1989:SNB,% Sleijpen:2000:DER,% Sun:1998:BSB,% Turing:1948:REM,% Wilkinson:1963:REA,% Wolfe:1964:RTE,% Ypma:1983:ERE,% vanderVorst:1990:CBP% }. \NAMECITE{Estimate}{% Benschop:1971:MSE,% Cline:1979:ECN,% Guggenheimer:1995:SEC% }. \NAMECITE{Estimates}{% Gautschi:1975:NEI,% Gudmundsson:1995:SSS,% Hager:1984:CE,% Kenney:1994:SSS,% Kubota:1991:PFP,% Stummel:1982:OEE,% Stummel:1985:FEAa,% Stummel:1985:SOE,% Zielke:1988:SRM% }. \NAMECITE{Estimating}{% Chu:1985:NEE,% Dixon:1983:EEE,% Dumitrescu:1998:IEA,% Greenbaum:1997:EAA,% Higham:1988:FCE,% Higham:1992:EMN,% Kaagstrom:1996:LSA,% Kuczynski:1992:ELE,% Loan:1987:ECE,% OLeary:1980:EMC% }. \NAMECITE{Estimation}{% Anderson:1991:RTS,% Ashenhurst:1965:EEC,% Bard:1974:NPE,% Bartels:1991:TTM,% Bischof:1990:ICEa,% Bischof:1990:ICEb,% Cheng:2001:ILB,% Cheng:2001:PIB,% Ferng:1991:ALM,% Grimes:1981:CNE,% Higham:1987:SCN,% Higham:1988:FCE,% Higham:2000:BAM,% Iri:1991:HAD,% Kaagstrom:1996:CES,% Karlson:1997:EOB,% Kenney:1998:SCEa,% Kenney:1998:SCEb,% Linnainmaa:1975:TAS,% Meinguet:1969:ES,% Pierce:1992:FAC,% Shroff:1992:ACE% }. \NAMECITE{Estimator}{% Byers:1984:LSC,% Cline:1982:GLC,% Higham:1990:EMN% }. \NAMECITE{Estimators}{% Cline:1983:SCE,% Kaagstrom:1989:GSM,% Kaagstrom:1992:DSM,% Stewart:1980:EGR,% Zlatev:1986:CNE% }. \NAMECITE{etc}{% Kahan:1983:MWS% }. \NAMECITE{Etude}{% Porte:1974:ESE% }. \NAMECITE{{Euclidean}}{% Blue:1978:PFP,% Ostrowski:1973:SEE% }. \NAMECITE{{European}}{% Joseph:1991:CPN% }. \NAMECITE{Evading}{% Reiser:1975:EDF% }. \NAMECITE{Evaluate}{% Paterson:1973:NNM% }. \NAMECITE{Evaluating}{% Crout:1941:SME,% Fike:1967:MEP,% Higham:2001:EPA,% Jones:1974:NSE,% Oliver:1977:EAM% }. \NAMECITE{Evaluation}{% Blanch:1964:NEC,% Erisman:1987:EOU,% Fike:1967:MEP,% Fike:1968:CEM,% Frank:1958:CEC,% Knuth:1962:EPC,% Krishnan:2001:PEM,% Loan:1979:NEM,% Newbery:1973:EAF,% Newbery:1974:EAP,% Newman:1958:EMI,% Oliver:1979:REP,% Olver:1986:EBP,% Stummel:1981:PTE,% Ziv:1991:FEE% }. \NAMECITE{Ever}{% Quinn:1983:EPR% }. \NAMECITE{Every}{% Goldberg:1991:WEC% }. \NAMECITE{Exact}{% Ferguson:1995:ECS,% Leuprecht:1982:PAR,% Ziv:1995:CAE% }. \NAMECITE{Examples}{% Bell:1971:CSR,% Cline:1983:SCE,% Klatte:1992:PXL% }. \NAMECITE{Exception}{% Demmel:1994:FNA,% Hull:1982:PCE,% Hull:1994:ICE% }. \NAMECITE{Exceptions}{% Hauser:1996:HFP% }. \NAMECITE{Exchange}{% Quinn:1983:EPR% }. \NAMECITE{Execution}{% Bailey:1993:AMT% }. \NAMECITE{Exercices}{% Cauchy:1841:EAP% }. \NAMECITE{Exercises}{% Overton:2001:NCI% }. \NAMECITE{Existence}{% Pan:2000:ECR% }. \NAMECITE{Expansion}{% Linnainmaa:1976:TEA% }. \NAMECITE{Expected}{% Fletcher:1985:EC% }. \NAMECITE{Experience}{% Blackford:1997:PEN,% Heath:1990:EEI,% Higham:1990:EMN% }. \NAMECITE{Experiments}{% Jordan:1968:EEG,% Rice:1966:EGS% }. \NAMECITE{Explained}{% Metcalf:1999:FE,% Schreiber:1989:HRS% }. \NAMECITE{Explicit}{% Lancaster:1970:ESL% }. \NAMECITE{Exploiting}{% Higham:1990:EFM% }. \NAMECITE{Expm1}{% Tang:1992:TDI% }. \NAMECITE{Exponential}{% Moler:1978:NDW,% Tang:1989:TDI,% Tang:1990:AET% }. \NAMECITE{Expressions}{% Aggarwal:1979:REM,% Ballester:1967:CDA,% Stummel:1981:PTE% }. \NAMECITE{Extended}{% Dongarra:19xx:AES,% Dongarra:19xx:ESF,% Klatte:1993:CXC,% Li:2000:DIT% }. \NAMECITE{Extending}{% Dekker:1971:FPT% }. \NAMECITE{Extension}{% Bleher:1987:SFE,% Garbow:1977:MER,% Lickteig:1987:CCD% }. \NAMECITE{Extra}{% Bailey:1988:EHS% }. \NAMECITE{Extremal}{% Dixon:1983:EEE% }. \NAMECITE{Eyes}{% Ewing:1994:CMT% }. \NAMECITE{Factor}{% Foster:1997:GFE,% George:2002:GFG,% Ikramov:2000:BGF% }. \NAMECITE{Factoring}{% Jones:1994:FSI% }. \NAMECITE{Factorization}{% Ahac:1988:SFM,% Anderson:1992:GQF,% Barrlund:1994:PBG,% Carter:1991:MFP,% Chan:1992:SAR,% Chang:1996:NPA,% Chang:1997:PAQ,% Chang:1998:SLF,% Chang:2001:CPA,% Cheng:1998:MCA,% Cox:1998:SHQ,% Cryer:1973:FTP,% Daniel:1976:RSA,% Demeure:1989:FFV,% Demeure:1990:FCV,% Demmel:1995:SBF,% Dongarra:2000:RAS,% Drmac:1994:PCF,% Duff:1991:FSS,% Erisman:1974:MST,% Forsgren:1995:CMN,% Gill:1996:SCF,% Gulliksson:1995:BEA,% Higham:1990:IRE,% Higham:1991:IRE,% Higham:1999:SBF,% Higham:2000:QFC,% Jones:1993:BKF,% Kielbasinski:1987:NRE,% Meinguet:1983:REA,% Saunders:1972:LSL,% Stewart:1977:PBF,% Stewart:1997:CFS,% Sun:1995:PBQ% }. \NAMECITE{Factorizations}{% Bjorck:1994:SAL,% Fallat:2001:BFT,% Fletcher:1974:MF,% Paige:1990:SAG,% Pan:2000:ECR,% Polman:1987:IBF,% Shroff:1992:ACE,% Stewart:1993:PLC,% Sun:1991:PBC,% Sun:1992:REP% }. \NAMECITE{Factorizing}{% Fletcher:1976:FSI,% Higham:1998:FCS% }. \NAMECITE{Factors}{% Davies:2000:NSG,% Higham:1989:LGF,% Stewart:1997:PCF% }. \NAMECITE{Fail}{% Foster:1994:GEP% }. \NAMECITE{Failure}{% patriot92% }. \NAMECITE{Fallacies}{% Kerr:1990:FCT% }. \NAMECITE{False}{% Edelman:1992:CPC% }. \NAMECITE{Far}{% gaze24% }. \NAMECITE{Fast}{% Alpert:1993:WLB,% Anda:1994:FPR,% Bini:1980:SFA,% Boros:1994:FAS,% Calvetti:1993:FIV,% Chu:2000:FRA,% Codenotti:2001:RAF,% Csanky:1976:FPM,% Demeure:1989:FFV,% Demmel:1992:SBA,% Egecioglu:1990:PMF,% Gentleman:1966:FFT,% Gohberg:1994:FIC,% Higham:1988:FSV,% Higham:1990:EFM,% Knight:1995:FRM,% Lu:1994:FSC,% Lu:1995:FAC,% Malcolm:1974:FMS,% Pan:1978:SAO,% Pierce:1992:FAC,% Ramos:1971:REA,% Rath:1982:FGR,% Reichel:1991:FQD,% Rump:1999:FPI,% Schatzman:1996:ADF,% Shewchuk:1997:APF,% Ziv:1991:FEE,% Loan:1992:CFF% }. \NAMECITE{Faster}{% Demmel:1994:FNA,% Incertis:1985:FMC,% Kaporin:1999:PAF% }. \NAMECITE{Fault}{% Boley:1994:FPF% }. \NAMECITE{Fewer}{% Pryce:1981:REA% }. \NAMECITE{{FFT}}{% Cooley:1993:OPF,% Cooley:1994:LFD,% Frigo:1998:FAS,% Tasche:2001:WAC,% cool90% }. \NAMECITE{{FFTW}}{% Frigo:1998:FAS% }. \NAMECITE{Fiabilit{\'e}}{% Brunet:1989:CFL% }. \NAMECITE{Fields}{% Henrici:1962:BII,% Lickteig:1987:CCD% }. \NAMECITE{Fifty}{% Granville:1992:ZBB% }. \NAMECITE{Fifty-Ninth}{% Granville:1992:ZBB% }. \NAMECITE{Figures}{% Quinn:1983:EPR% }. \NAMECITE{Find}{% Blue:1978:PFP% }. \NAMECITE{Finding}{% Adams:1967:SCP,% Chan:1983:AFS,% Wilkinson:1955:UIM,% Ypma:1983:FMZ% }. \NAMECITE{Fingers}{% Buchholz:1959:FFC% }. \NAMECITE{Finite}{% Arioli:2000:SCC,% Chaitin-Chatelin:1996:LFP,% Greenbaum:1992:PBF,% Greenbaum:1994:LCG,% Higham:1993:FPB,% Higham:1995:MPF,% Matula:1985:FPR,% Milenkovic:1988:VIG,% Savage:1954:TIF,% Taussky:1949:RCC,% Taussky:1962:EFM,% Todd:1954:CFS,% Varah:1972:SBT% }. \NAMECITE{Finite-Difference}{% Varah:1972:SBT% }. \NAMECITE{First}{% Edelman:1991:FAL,% Raimi:1969:PDF,% Raimi:1976:FDP,% acm87% }. \NAMECITE{Fists}{% Buchholz:1959:FFC% }. \NAMECITE{Fit}{% Ahlberg:1963:CPS% }. \NAMECITE{Fitting}{% Smith:1965:ASO% }. \NAMECITE{Five}{% Gustafson:1996:MPS% }. \NAMECITE{Fixed}{% Urabe:1968:RED% }. \NAMECITE{Fixed-Point}{% Urabe:1968:RED% }. \NAMECITE{Flaw}{% Markoff:1994:CFC,% Sharangpani:1994:SAF% }. \NAMECITE{Floating}{% Anderson:1999:DAF,% Bailey:1989:FPA,% Barlow:1981:DAR,% Barlow:1981:PEA,% Barlow:1985:PEA,% Barlow:1985:RED,% Barrett:1989:FMA,% Bohlender:1977:FPC,% Boley:1994:FPF,% Brent:1973:PAV,% Brown:1981:SRM,% Carr:1959:EAF,% Carter:1991:MFP,% Clenshaw:1984:BFP,% Clinger:1990:HRF,% Cody:1973:SDN,% Cody:1984:PRW,% Cody:1988:FPS,% Cody:1993:AFS,% Cornea-Hasegan:1999:IFP,% Dekker:1971:FPT,% Demmel:1989:FPE,% Demmel:1992:SFP,% Demmel:1995:CSB,% Demmel:2001:NAF,% Espelid:1995:FPS,% Farnum:1988:CSF,% Fateman:1982:HLL,% Feldstein:1982:LSF,% Feldstein:1986:OUS,% Gal:1991:AEM,% Gentleman:1974:MAR,% Goldberg:1991:WEC,% Goodman:1985:REF,% Group:1981:PSB,% Hauser:1996:HFP,% Henrici:1980:MPR,% Hida:2001:AQD,% Higham:1991:TMP,% Higham:1993:AFP,% Hough:1981:API,% Jankowski:1983:NFP,% Kahan:1979:PFP,% Kahan:1980:IAO,% Kahan:1981:WDW,% Kahan:1987:DPI,% Kahan:1996:LNS,% Karpinski:1985:PFP,% Kuki:1973:SSA,% LIA94,% Leuprecht:1982:PAR,% Linnainmaa:1974:ASK,% Linnainmaa:1975:TAS,% Linnainmaa:1981:SDP,% Linz:1970:AFP,% Malcolm:1971:AFP,% Malcolm:1972:ARP,% Matsui:1981:OUF,% Matula:1970:FFP,% Moler:1967:IRF,% Moller:1965:QDP,% Moore:1998:MCP,% Overton:2001:NCI,% Plauger:1988:PFP,% Priest:1991:AAP,% Priest:1992:PFP,% Reiser:1975:EDF,% Robertazzi:1988:BOF,% Russinoff:1998:MCP,% Schryer:1981:TCF,% Schryer:1984:DCF,% Severance:1998:IOM,% Sharangpani:1994:SAF,% Shewchuk:1997:APF,% Smith:1991:AFP,% Steele:1990:HPF,% Sterbenz:1974:FPC,% Stummel:1982:OEE,% Sweeney:1965:AFP,% Tang:1989:TDI,% Tang:1990:TDI,% Tang:1992:TDI,% Tienari:1970:SMR,% Tisseur:2001:NMF,% Verdonk:2001:PRIa,% Verdonk:2001:PRIb,% Vitenko:1968:OAA,% Wallis:1990:IFP,% Wichmann:1989:TFS,% Wichmann:1992:NUF,% Wilkinson:1960:EAF,% Wilkinson:1963:PRF,% fpv86,% ieee85,% ieee87% }. \NAMECITE{Floating-Point}{% Anderson:1999:DAF,% Barrett:1989:FMA,% Brent:1973:PAV,% Brown:1981:SRM,% Cody:1973:SDN,% Cody:1984:PRW,% Cody:1988:FPS,% Cody:1993:AFS,% Cornea-Hasegan:1999:IFP,% Dekker:1971:FPT,% Espelid:1995:FPS,% Farnum:1988:CSF,% Fateman:1982:HLL,% Feldstein:1986:OUS,% Goldberg:1991:WEC,% Goodman:1985:REF,% Hauser:1996:HFP,% Hough:1981:API,% Jankowski:1983:NFP,% Kahan:1979:PFP,% Kahan:1981:WDW,% Kahan:1987:DPI,% Kahan:1996:LNS,% Karpinski:1985:PFP,% Linnainmaa:1974:ASK,% 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Forsythe:1953:SLA,% Forsythe:1967:CSL,% Forsythe:1967:TCM,% Fox:1948:NSA,% Fox:1964:INL,% Gallivan:1990:PAD,% Gastinel:1983:LNA,% Gluchowska:1990:SLL,% Godunov:1993:GAN,% Golub:1965:NMS,% Golub:1979:UPD,% Greenbaum:1997:IMS,% Gu:1998:BPB,% Guggenheimer:1995:SEC,% Gulliksson:1992:MQD,% Gulliksson:1994:IRC,% Gulliksson:1995:BEA,% Gustavson:1997:RLA,% Hammarling:1976:PBL,% Hammarling:1987:NSG,% Hanson:1997:AML,% Heath:1984:NML,% Higham:1987:NLA,% Higham:1990:IRE,% Higham:1991:IRE,% Higham:1992:BEC,% Higham:1992:CPT,% Higham:1994:SCP,% Higham:1997:IRL,% Higham:1999:NAS,% Hoffmann:1987:SLS,% Jordan:1968:EEG,% Kahan:1966:NLA,% Kao:2000:LTA% }. \NAMECITE{Linear}{% Karasalo:1974:CTD,% Karlson:1997:EOB,% Kato:1976:PTL,% Keller:1965:SSS,% Kelley:1995:IML,% Kenney:1998:SCEa,% Kenney:1998:SCEb,% Kielbasinski:1981:IRL,% Kovarik:1976:CAS,% Kuperman:1971:ALA,% Lancaster:1970:ESL,% Langlois:2001:ALC,% Lawson:1979:BLA,% Lay-Yong:1989:MSL,% Lu:1994:FSC,% Lu:1995:FAC,% Malcolm:1974:FMS,% 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Feldstein:1982:LSF,% Feldstein:1986:OUS% }. \NAMECITE{{L{\"o}sung}}{% Bauer:1966:GLL% }. \NAMECITE{Louis}{% Brezinski:1996:ALC% }. \NAMECITE{Low}{% Caprani:1971:ILR,% Lagarias:1998:CPN% }. \NAMECITE{Lower}{% Eckart:1936:AOM,% Laszlo:1994:ALB,% Varah:1975:LBS% }. \NAMECITE{{LR}}{% Rutishauser:1958:SEP% }. \NAMECITE{{LR}-Transformation}{% Rutishauser:1958:SEP% }. \NAMECITE{{LSS}}{% Malyshev:2001:OBP% }. \NAMECITE{{LU}}{% Chang:1998:SLF,% Dongarra:2000:RAS,% Mattheij:1984:SLD,% Pan:2000:ECR,% Stewart:1993:PLC,% Toledo:1997:LRL% }. \NAMECITE{{LU}-Decompositions}{% Mattheij:1984:SLD% }. \NAMECITE{{Lyapunov}}{% Barnett:1968:SAL,% Byers:1987:SVL,% Gahinet:1990:SSD,% Ghavimi:1995:RBD,% Hammarling:1982:NSS,% Hewer:1988:SSL,% Hochbruck:1995:PKS,% Hodel:1992:RAL,% Penzl:1998:NSG,% Wachpress:1988:ISL% }. \NAMECITE{M}{% Bodewig:1949:RRE,% Britton:1992:CWM,% Carpenter:1986:MTA,% Ince:1992:CWM% }. \NAMECITE{{M.}}{% Farebrother:1987:MLM% }. \NAMECITE{{MA27}}{% Duff:1982:MSF% }. \NAMECITE{{MA47}}{% dure95% }. \NAMECITE{{MACHAR}}{% Cody:1988:AMS% }. \NAMECITE{Machine}{% Atanasoff:1940:CMS,% Bowden:1953:OTM,% Cody:1988:AMS,% Cooley:1965:AMC,% Dongarra:1984:ILA,% Gill:1951:PSS,% Balle:1993:STM% }. \NAMECITE{Machinery}{% harv48% }. \NAMECITE{Machines}{% Dennis:1991:DSM,% Schreiber:1988:BAP,% Torczon:1989:MDS% }. \NAMECITE{{Macintosh}}{% Computer:1994:IMP% }. \NAMECITE{Made}{% Acton:1996:RCM% }. \NAMECITE{Magnetic}{% Barron:1960:SSL% }. \NAMECITE{Magnetic-Tape}{% Barron:1960:SSL% }. \NAMECITE{Mail}{% Dongarra:1987:DMS% }. \NAMECITE{majorants}{% Dahlquist:1983:MMM% }. \NAMECITE{Making}{% Li:1998:MSG,% Shepherd:1989:MCW% }. \NAMECITE{Man}{% Severance:1998:IOM% }. \NAMECITE{Manifestations}{% Cottle:1974:MSC% }. \NAMECITE{Manifold}{% Arioli:1986:EAA% }. \NAMECITE{Manipulation}{% Stoutemyer:1977:AEA% }. \NAMECITE{Mantissa}{% Smoktunowicz:1984:BCI% }. \NAMECITE{Manual}{% Briggs:1995:DOM,% Char:1991:MVL,% Cody:1980:SME,% Computer:1988:ANM,% Inc:1989:UMS,% harv46% }. \NAMECITE{Many}{% Edelman:1994:HME,% Jankowski:1983:NFP,% Lehmer:1943:TMP% }. \NAMECITE{Maple}{% Char:1991:MVL,% maple% }. \NAMECITE{{Marcel}}{% Gillespie:1991:NVT% }. \NAMECITE{Marching}{% Bank:1977:MAE% }. \NAMECITE{Mark}{% Bloch:1948:MC% }. \NAMECITE{{Market}}{% Boisvert:1997:MMW% }. \NAMECITE{{Markov}}{% Hammarling:1987:NSG,% Ipsen:1994:USM,% OCinneide:1993:EPT,% Stewart:1997:MCS% }. \NAMECITE{Massively}{% Gustafson:1996:MPS% }. \NAMECITE{Math}{% Cauchy:1841:EAP,% Forsythe:1970:PCW,% Inc:1989:UMS,% matlab:SMT% }. \NAMECITE{Mathematica}{% mathematica,% Skeel:1993:ENC,% Wolfram:1999:MB% }. \NAMECITE{Mathematical}{% Babuska:1969:NSM,% Berman:1994:NMM,% Dongarra:1987:DMS,% Fike:1968:CEM,% Forsythe:1977:CMM,% Fox:1978:PMS,% Gal:1991:AEM,% Gardner:1961:MMP,% Glanz:1995:MLF,% Higham:1998:HWM,% Rall:1991:TMC,% Scarborough:1950:NMA,% Varga:1990:SCM,% Ziv:1991:FEE,% sylv04% }. \NAMECITE{Mathematics}{% Boyer:1989:HM,% Britton:1992:CWM,% Dunham:1990:JTG,% Edelman:1997:MPD,% Ewing:1991:PHC,% Ewing:1994:CMT,% Graham:1994:CM,% Hardy:1967:CPM,% Joseph:1991:CPN,% Kahan:1983:MWS,% Nelson:1998:PDM,% Todd:1977:BNM,% Young:1972:SNM,% Turing:1945:PDM% }. \NAMECITE{Mathematik}{% Stoer:1972:ENM% }. \NAMECITE{{MATLAB}}{% Higham:1995:TMT,% Higham:2000:MG,% Shampine:1997:MOS,% matlab% }. \NAMECITE{Matrices}{% Ahac:1988:SFM,% Anderson:1987:GRO,% Ando:1987:TPM,% Andrew:1990:ESV,% Asplund:1959:IMW,% Bai:1997:SDN,% Barlow:1992:RDM,% Barlow:1998:GGE,% Bauer:1963:OSMa,% Bauer:1963:OSMb,% Bauer:1969:ROS,% Bauer:1971:IPD,% Beam:1993:ASB,% Beckermann:2000:CNR,% Berman:1994:NMM,% Birkhoff:1975:THN,% Birkhoff:1979:IDT,% Bischof:1987:WRP,% Bischof:1990:ICEb,% Bukhberger:1973:MIT,% Bunch:1971:ESM,% Bunch:1974:PPS,% Bunch:1982:NSD,% Businger:1968:MWC,% Byers:1988:BMM,% Calvetti:1993:FIV,% Cao:1986:NIH,% Chatelin:1993:EM,% Cheng:1998:SIM,% Cho:1968:TDC,% Chu:1999:CMP,% Chu:2000:FRA,% Cryer:1973:FTP,% Cryer:1976:SPT,% Curtis:1972:ASM,% Danloy:1976:CSH,% Davies:2000:NSG,% Davis:1979:CM,% Demeure:1989:FFV,% Demeure:1990:FCV,% Demmel:1990:ASV,% Demmel:1999:ASV,% Dixon:1983:EEE,% Dongarra:1984:ILA,% Duff:1986:DMS,% Duff:1991:FSS,% Edelman:1988:ECN,% Edelman:1993:ERR,% Erisman:1987:EOU,% Fallat:2001:BFT,% Fan:1955:SMI,% Feingold:1962:BDD,% Fletcher:1976:FSI,% Forsythe:1955:BCM,% Frank:1958:CEC,% Funderlic:1982:DGD,% Gantmacher:1959:TMa,% Gantmacher:1959:TMb,% Gautschi:1953:ABP,% Gautschi:1962:IVC,% Gautschi:1975:NEI,% Gautschi:1978:IVC,% Gautschi:1983:CVL,% Geman:1986:SRL,% George:2002:GFG,% Gohberg:1994:FIC,% Goldberg:1983:MNM,% Goldstine:1951:NIM,% Gregory:1969:CMT,% Grimes:1981:CNE,% Hanson:1997:AML,% Henderson:1981:DIS,% Henrici:1962:BII,% Higham:1987:SCN,% Higham:1992:SMM,% Higham:1998:FCS,% Householder:1964:TMN,% Hyman:1957:EEG,% Ikebe:1979:IHM,% Ikramov:2000:BGF,% Jones:1993:BKF,% Jones:1994:FSI,% Kittaneh:1995:SVC,% Kosowski:2000:CUT,% Kostlan:1992:SGM,% Laderman:1976:NAM,% Lehoucq:1996:CEU,% Lemeire:1975:BCN,% Loizou:1969:NJC,% Malyshev:2000:NSG,% Mathias:1992:MPD,% Mathias:1996:AAO,% Mattheij:1984:SBD,% Mattheij:1984:SLD,% McCarthy:1974:OCM,% Mendelsohn:1956:SEP,% Meurant:1992:RIS,% Meyer:1957:MIL% }. \NAMECITE{Matrices}{% Neumaier:1986:CMM,% Neumann:1947:NIM,% Neumann:1984:BEA,% Pan:1999:NIS,% Pan:2001:SMP,% Polman:1987:IBF,% Reichel:1991:FQD,% Reichel:1992:EPE,% Reid:1987:SM,% Rohn:1989:NCN,% Rump:1998:SPS,% Rump:1999:ICM,% Rutishauser:1968:TM,% Schneider:1998:MWN,% Shapiro:1982:OSM,% Shapiro:1985:OBD,% Shapiro:1991:UBN,% Sluis:1969:CNE,% Stewart:1980:EGR,% Stewart:1997:CFS,% Stewart:1997:TMG,% Stoer:1962:TDM,% Sun:1995:BKR,% Sylvester:1884:EM,% Tao:1984:CSM,% Taussky:1962:EFM,% Toh:1994:PPP,% Trefethen:1992:PM,% Turnbull:1929:TDM,% Turnbull:1932:ITC,% Tyrtyshnikov:1991:CTM,% Vanderbei:1995:SQD,% Varah:1979:STM,% Viswanath:1998:CNR,% Wallis:1972:CRS,% Wallis:1993:HM,% Watson:1991:AOS,% Wedderburn:1934:LM,% Wilkinson:1955:UIM,% Wilkinson:1965:EAT,% Winograd:1971:MM,% Zielke:1986:RTM,% barl86% }. \NAMECITE{Matrix}{% Aasen:1971:RSM,% Bai:1997:TMC,% Bailey:1988:EHS,% Bailey:1988:SNA,% Baksalary:1979:ME,% Baksalary:1980:ME,% Balle:1993:STM,% Barnett:1968:SAL,% Bartels:1972:ASM,% Bartels:1991:TTM,% Bellman:1970:IMA,% Benschop:1971:MSE,% Bhatia:1994:VUP,% Bhatia:1997:MA,% Bini:1980:SFA,% Bini:1994:PMC,% Bjorstad:1992:EMM,% Bodewig:1949:RRE,% Boisvert:1997:MMW,% Brent:1970:AMM,% Brent:1970:EAA,% Bunch:1976:DSM,% Byers:1987:SAR,% Byers:1988:BMM,% Caffney:1963:ATM,% Chan:1983:AFS,% Chan:1983:DEE,% Cheng:2001:ALM,% Cheng:2001:ILB,% Cheng:2001:PIB,% Choi:1983:TTH,% Chu:1987:SME,% Cline:1979:ECN,% Codenotti:2001:RAF,% Cohen:1975:IPM,% Coppersmith:1987:MMA,% Croz:1992:SMM,% Csanky:1976:FPM,% Datta:1988:MEA,% Demmel:1983:CNE,% Demmel:1987:CSE,% Demmel:1989:TMG,% Dhillon:1998:RCC,% Dongarra:2000:RAS,% Douglas:1994:GPL,% Douglas:1994:VMM,% Doyle:1957:ISC,% Duff:1979:DSS,% Duff:1989:SMT,% Duff:1992:UGH,% Eckart:1936:AOM,% Edelman:1991:DMS,% Edelman:1994:HME,% Edelman:1995:CPC,% Edelman:1995:PRC,% Erisman:1974:MST,% Fischer:1974:FSC,% Friedland:1980:GPN,% Friedland:1991:RMS,% Garbow:1977:MER,% Gardiner:1992:AFS,% Gardiner:1992:SSM,% Givens:1954:NCC,% Golub:1974:CBS,% Golub:1996:MC,% Gudmundsson:1995:SSS,% Henderson:1981:VPM,% Higham:1986:EAC,% Higham:1987:CRS,% Higham:1988:CNS,% Higham:1988:FCE,% Higham:1989:MNP,% Higham:1990:ACD,% Higham:1990:EFM,% Higham:1990:EMN,% Higham:1992:EMN,% Higham:1992:SMM,% Higham:1993:ODS,% Higham:1994:MSD,% Higham:1995:MPF,% Higham:1995:TMT,% Higham:1997:SIM,% Higham:1999:SBF,% Higham:2000:BAM,% Higham:2000:NAQ,% Higham:2001:BEM,% Higham:2001:EPA,% Hochbruck:1995:PKS,% Horn:1985:MA,% Horn:1991:TMA,% Hotelling:1943:SNM,% Ikramov:1998:RNC,% Incertis:1985:FMC,% Jennings:1982:BSV,% Kaagstrom:1996:CES,% Kaagstrom:1996:LSA,% Kaporin:1999:PAF,% Kaufman:1983:MMQ,% Kenney:1992:MSA% }. \NAMECITE{Matrix}{% Kenney:1994:SSS,% Kerr:1990:FCT,% Knight:1995:FRM,% Laderman:1992:PAA,% Lancaster:1970:ESL,% Liu:1987:PPS,% Loan:1979:NEM,% Magnus:1979:CMS,% Magnus:1999:MDC,% Mathias:1995:IPP,% Merikoski:1997:BUB,% Meyer:1977:CPM,% Miller:1980:SRA,% Miller:1988:ISM,% Mitchell:1948:IMO,% Moler:1972:MCF,% Moler:1978:NDW,% Newman:1958:EMI,% Newman:1962:MC,% OLeary:1980:EMC,% Paige:1973:EAM,% Pan:1978:SAO,% Pan:1984:HCW,% Pan:1991:INI,% Pan:2001:CNC,% Parlett:1964:LMA,% Parlett:1965:MEP,% Pryce:1985:MEA,% Quintana:2001:NPM,% Savage:1954:TIF,% Smith:1976:MER,% Stewart:1973:IMC,% Stewart:1977:PBF,% Stewart:1990:MPT,% Stewart:1998:AM,% Stewart:2001:MAV,% Stone:1962:BPR,% Strang:1986:PTM,% Sun:1992:CPB,% Tang:1981:BDV,% Taussky:1949:RCC,% Taussky:1988:HBT,% Todd:1954:CFS,% Todd:1961:CPC,% Turing:1948:REM,% Varah:1975:LBS,% Wachpress:1988:ISL,% Wegert:1994:BNP,% Westlake:1968:HNM,% Wilkinson:1961:EAD,% Zha:1995:NCS,% Zielke:1988:SRM,% Zietak:1985:PCI,% Zlatev:1986:CNE,% demm92,% hous58,% Cybenko:1986:CME,% Dahlquist:1983:MMM,% Boisvert:1997:MMW,% Spiess:1976:UZD,% schu33% }. \NAMECITE{Matrix-Matrix}{% Douglas:1994:VMM% }. \NAMECITE{{Matrix-Multiplikation}}{% Spiess:1976:UZD% }. \NAMECITE{Matrix-Sign}{% Kenney:1992:MSA% }. \NAMECITE{Max}{% Bunch:1971:ESM% }. \NAMECITE{Max-Norm}{% Bunch:1971:ESM% }. \NAMECITE{Maximum}{% Bohlender:1977:FPC,% Tao:1984:SMC,% Tornheim:1965:MTP% }. \NAMECITE{{Mead}}{% Lagarias:1998:CPN,% McKinnon:1998:CNM% }. \NAMECITE{Mean}{% Benschop:1971:MSE% }. \NAMECITE{Meaningless}{% Fox:1971:HGM% }. \NAMECITE{Measure}{% Pryce:1984:NMR,% Ziv:1982:RDE% }. \NAMECITE{Measurements}{% Hunt:1997:ROA% }. \NAMECITE{Measures}{% Higham:1991:TMP,% Rheinboldt:1976:MIC% }. \NAMECITE{Measuring}{% Byers:1988:BMM% }. \NAMECITE{{Mechanical}}{% Ince:1992:CWM% }. \NAMECITE{Mechanically}{% Moore:1998:MCP,% Russinoff:1998:MCP% }. \NAMECITE{Memoir}{% Farebrother:1987:MLM% }. \NAMECITE{Memory}{% Bai:1997:SDN,% Kaagstrom:1992:DSM,% Kreczmar:1976:MRS% }. \NAMECITE{Method}{% Abdelmalek:1971:REA,% Arioli:2000:SCC,% Bartels:1991:TTM,% Bauer:1971:IPD,% Bjorck:1987:SAM,% Bjorck:1992:PSA,% Boyd:1974:PMN,% Bunch:1971:ADP,% Byers:1988:BMM,% Caprani:1971:ILR,% Cline:1973:EMS,% Concus:1985:BPC,% Cox:1999:ASN,% Crout:1941:SME,% Egecioglu:1990:PMF,% Foster:1991:MNE,% Francois:1991:SPM,% Gentleman:1969:EAG,% Golub:1962:BRE,% Golub:1979:HSM,% Gragg:1976:SVS,% Hanson:1997:AML,% Higham:1992:SMM,% Higham:1994:SPI,% Higham:1997:SDP,% Incertis:1985:FMC,% Lagarias:1998:CPN,% Lancaster:1966:EAN,% Laub:1979:SMS,% Loan:1985:MWE,% Lynn:1964:REM,% Malcolm:1974:FMS,% McKinnon:1998:CNM,% Meyer:1957:MIL,% Nelder:1965:SMF,% Oliver:1977:EAM,% Ortega:1963:EAH,% Paige:1973:EAM,% Parlett:1964:LMA,% Puglisi:1992:MHM,% Reddy:1992:SML,% Soderstrom:1974:NPI,% Tao:1984:CSM,% Tisseur:2001:NMF,% Vignes:1986:ESM,% Ward:1976:QAH,% Wozniakowski:1977:NSC,% Ypma:1995:HDN% }. \NAMECITE{m\'ethode}{% Benoit:1924:NMR% }. \NAMECITE{Methods}{% Acton:1970:NMW,% Arioli:1992:SCC,% Axelsson:1994:ISM,% Barlow:1988:IME,% Barlow:1992:RDM,% Barrett:1989:FMA,% Barrett:1994:TSL,% Berenbaum:1991:DSM,% Bjorck:1990:LSM,% Bjorck:1996:NML,% Bollen:1984:NSD,% Buchanan:1992:NMA,% Bukhberger:1973:MIT,% Bunch:1971:DMS,% Bunch:1977:SSM,% Butcher:1987:NAO,% Buzbee:1970:DMS,% Chan:1996:CGM,% Christiansen:1994:ECN,% Cox:1999:RWB,% Croz:1992:SMM,% Dahlquist:1974:NM,% Davis:1984:MNI,% Dembo:1982:INM,% Dennis:1983:NMU,% Dennis:1984:IQN,% Dennis:1991:DSM,% Dennis:1993:SLC,% Dubrulle:1983:CNM,% Duff:1986:DMS,% Epton:1980:MSA,% Faddeeva:1959:CML,% Ferng:1991:ALM,% Fike:1967:MEP,% Fletcher:1987:PMO,% Forsgren:1996:SSI,% Forsythe:1967:TCM,% Forsythe:1977:CMM,% Frank:1958:CEC,% Gill:1991:ICM,% Golub:1965:NMS,% Govaerts:2000:NMB,% Greenbaum:1997:EAA,% Greenbaum:1997:IMS,% Hammarling:1976:PBL,% Hamming:1973:NMS,% Heath:1984:NML,% Henrici:1962:DVM,% Henrici:1963:EPD,% Higham:1990:IRE,% Higham:1991:IRE,% Higham:1993:CEA,% Hochbruck:1995:PKS,% Hotelling:1943:SNM,% Hu:1992:KSM,% Isaacson:1966:ANM,% Kaagstrom:1989:GSM,% Kahaner:1989:NMS,% Kaufman:1983:MMQ,% Kelley:1995:IML,% Kelley:1999:IMO,% Lay-Yong:1989:MSL,% Lewis:2000:DSM,% Linnainmaa:1974:ASK,% Mathias:1995:AEC,% McCracken:1964:NMF,% Metropolis:1977:MSA,% Meyer:1977:CPM,% Moore:1979:MAI,% Powell:1970:SNM,% Quinlan:1994:REL,% Rienen:2001:NMC,% Rump:2001:SVM,% Swann:1972:DSM,% Tao:1984:SMC,% Traub:1966:APU,% Trefethen:1987:IPS,% Wilkinson:1955:UIM,% Wilkinson:1961:EAD,% Wright:1992:IMC,% Wright:1996:DSM,% Wright:1997:PDI,% Young:1989:HOI,% Ypma:1983:ERE,% Ypma:1983:FMZ% }. \NAMECITE{Metric}{% Fan:1955:SMI% }. \NAMECITE{{MGS}}{% Plemmons:1974:LLS% }. \NAMECITE{Might}{% Kahan:1990:HCA% }. \NAMECITE{Million}{% Quinn:1991:TMY% }. \NAMECITE{Minimal}{% Bauer:1963:OSMb% }. \NAMECITE{Minimization}{% Nelder:1965:SMF,% Powell:1975:VUM% }. \NAMECITE{Minimum}{% Cybenko:1986:CME% }. \NAMECITE{Minor}{% Sylvester:1851:RBM% }. \NAMECITE{minorants}{% Dahlquist:1983:MMM% }. \NAMECITE{Miscalculate}{% Markoff:1994:CFC% }. \NAMECITE{Miscalculating}{% Kahan:1997:MAA% }. \NAMECITE{Misdemeanours}{% Stoutemyer:1991:CMC% }. \NAMECITE{Missile}{% patriot92% }. \NAMECITE{Mixed}{% Gohberg:1993:MCS,% Li:2000:DIT% }. \NAMECITE{Model}{% Aggarwal:1979:REM,% Brown:1981:SRM,% Chatelin:1990:PRE,% Hammarling:1987:NSG,% Henrici:1980:MPR,% Roberts:1980:LMR,% Schryer:1984:DCF,% Tienari:1970:SMR,% Dongarra:19xx:AES,% Dongarra:19xx:ASL% }. \NAMECITE{Models}{% Henrici:1966:TPM,% Hull:1966:TPM,% McCullagh:1989:GLM% }. \NAMECITE{Modern}{% Birkhoff:1977:SMA,% Wilkinson:1971:MEA% }. \NAMECITE{Modification}{% Fletcher:1974:MF,% Puglisi:1992:MHM,% Yip:1986:NSS% }. \NAMECITE{Modifications}{% Foster:1991:MNE,% Hammarling:1974:NMG% }. \NAMECITE{Modified}{% Bjorck:1992:LRO,% Cheng:1998:MCA,% Cheng:1998:SIM,% Forsgren:1995:CMN,% Oliver:1977:EAM,% Routh:1977:PSM% }. \NAMECITE{Modifying}{% Gulliksson:1992:MQD,% Stewart:1974:MPE% }. \NAMECITE{Modular}{% Borwein:1989:RME% }. \NAMECITE{Module}{% Kearfott:1996:AIF% }. \NAMECITE{Modulo}{% Percival:2002:RMM% }. \NAMECITE{moindres}{% Benoit:1924:NMR% }. \NAMECITE{Moments}{% Edelman:1991:DMS% }. \NAMECITE{{Monde}}{% Lyness:1966:VMS% }. \NAMECITE{Monitoring}{% Businger:1971:MNS,% Erisman:1974:MST,% barl86% }. \NAMECITE{Monotone}{% Ferguson:1991:AMA% }. \NAMECITE{Monotonic}{% Bauer:1961:AMN% }. \NAMECITE{{Monthly}}{% Ewing:1994:CMT% }. \NAMECITE{{Moore}}{% Soderstrom:1974:NPI% }. \NAMECITE{Morrison}{% Yip:1986:NSS% }. \NAMECITE{Most}{% Boyle:1994:AFS% }. \NAMECITE{{MP}}{% Brent:19xx:AMF,% Carter:1991:MFP% }. \NAMECITE{Much}{% Kahan:1987:BCC% }. \NAMECITE{{Muir}}{% Bell:1931:RCH% }. \NAMECITE{Multi}{% Torczon:1989:MDS% }. \NAMECITE{Multi-Directional}{% Torczon:1989:MDS% }. \NAMECITE{Multicomputer}{% Edelman:1994:SDN% }. \NAMECITE{Multidigit}{% Karatsuba:1963:MMN% }. \NAMECITE{Multidirectional}{% Torczon:1991:CMS% }. \NAMECITE{Multiple}{% Bailey:1993:MPM,% Brent:1980:AIB,% Brent:19xx:AMF,% Brent:19xx:FMP,% Higham:1992:CPT,% Smith:1991:AFP,% Sun:1996:OBP,% Ypma:1983:FMZ,% Smith:1998:AMP% }. \NAMECITE{Multiple-Precision}{% Brent:19xx:AMF,% Brent:19xx:FMP,% Smith:1991:AFP,% Smith:1998:AMP% }. \NAMECITE{Multiplication}{% Bailey:1988:EHS,% Bini:1980:SFA,% Bjorstad:1992:EMM,% Brent:1970:AMM,% Brent:1970:EAA,% Coppersmith:1987:MMA,% Douglas:1994:VMM,% Goodman:1985:REF,% Higham:1990:EFM,% Kaporin:1999:PAF,% Karatsuba:1963:MMN,% Knight:1995:FRM,% Laderman:1992:PAA,% Mathias:1995:IPP,% Pan:1978:SAO,% Pan:1984:HCW,% Percival:2002:RMM,% Russinoff:1998:MCP,% Urabe:1968:RED,% Winograd:1971:MM% }. \NAMECITE{Multiplications}{% Gustafson:1996:MPS,% Higham:1992:SMM,% Laderman:1976:NAM,% Paterson:1973:NNM% }. \NAMECITE{Multiplicative}{% Pryce:1985:MEA% }. \NAMECITE{Multiplicativity}{% Goldberg:1983:MNM% }. \NAMECITE{{Multiplikation}}{% Spiess:1976:UZD% }. \NAMECITE{Multiply}{% Douglas:1994:GPL% }. \NAMECITE{Multiplying}{% Higham:1992:SMM,% Laderman:1976:NAM,% Vitenko:1968:OAA% }. \NAMECITE{Multiprecision}{% Bailey:1995:FBM,% Krishnan:2001:PEM,% Bailey:1993:AMT% }. \NAMECITE{Multishift}{% Dubrulle:1994:MQI% }. \NAMECITE{Multistep}{% Quinlan:1994:REL% }. \NAMECITE{Multivariate}{% Muirhead:1982:AMS% }. \NAMECITE{Mysteries}{% Trefethen:1985:TMG% }. \NAMECITE{nach}{% Lauchli:1961:JEA% }. \NAMECITE{National}{% Heath:1990:EEI,% Campbell-Kelly:1981:PPA,% Wilkinson:1948:ACE,% Wilkinson:1980:TWN,% wood58% }. \NAMECITE{Natural}{% Newcomb:1881:NFU% }. \NAMECITE{Nature}{% Lyness:1976:CNA% }. \NAMECITE{Near}{% Rump:1999:ICM,% gaze24% }. \NAMECITE{Nearest}{% Demmel:1987:CND,% Higham:1988:CNS,% demm92% }. \NAMECITE{Nearly}{% Griewank:1985:SNE,% Shapiro:1991:UBN% }. \NAMECITE{Nearness}{% Higham:1989:MNP% }. \NAMECITE{Necessary}{% Paterson:1973:NNM,% Shapiro:1982:OSM% }. \NAMECITE{Need}{% Kahan:1981:WDW% }. \NAMECITE{Needle}{% Kahan:1997:MAA,% Wegert:1994:BNP% }. \NAMECITE{Needle-Like}{% Kahan:1997:MAA% }. \NAMECITE{Negative}{% Hammarling:1982:NSS% }. \NAMECITE{{Nelder}}{% Lagarias:1998:CPN,% McKinnon:1998:CNM% }. \NAMECITE{Netlib}{% Browne:1994:NSR% }. \NAMECITE{neue}{% Spiess:1976:UZD% }. \NAMECITE{{Neumann}}{% Goldstine:1972:CPN,% Plemmons:1976:RSD,% Taub:1963:JNC% }. \NAMECITE{{Neville}}{% Alonso:1997:BEA,% Gasca:1992:TPN% }. \NAMECITE{Newton}{% Pan:1999:NIS,% Reichel:1990:NIL,% Tisseur:2001:NMF,% Bailey:1988:SNA,% Dembo:1982:INM,% Dennis:1984:IQN,% Egecioglu:1990:PMF,% Forsgren:1995:CMN,% Kahan:1963:ANIa,% Kahan:1963:ANIb,% Lancaster:1966:EAN,% Pan:1991:INI,% Werner:1984:PIL,% White:1997:INL,% Ypma:1983:ERE,% Ypma:1983:FMZ,% Ypma:1995:HDN% }. \NAMECITE{{Newton}-like}{% Ypma:1983:ERE,% Ypma:1983:FMZ% }. \NAMECITE{Nineteen}{% Moler:1978:NDW% }. \NAMECITE{Ninth}{% Granville:1992:ZBB% }. \NAMECITE{nombre}{% Benoit:1924:NMR% }. \NAMECITE{Non}{% Bai:1997:TMC,% Hammarling:1982:NSS,% Henrici:1962:BII,% Joseph:1991:CPN% }. \NAMECITE{{Non-European}}{% Joseph:1991:CPN% }. \NAMECITE{Non-{Hermitian}}{% Bai:1997:TMC% }. \NAMECITE{Non-Negative}{% Hammarling:1982:NSS% }. \NAMECITE{Non-Normal}{% Henrici:1962:BII% }. \NAMECITE{Noncommutative}{% Gillespie:1991:NVT,% Laderman:1976:NAM% }. \NAMECITE{Nonlinear}{% Bard:1974:NPE,% Conn:1992:LFP,% Dennis:1983:NMU,% Gill:1986:UGN,% Gragg:1976:SVS,% Griewank:1985:SNE,% Kelley:1995:IML,% Rheinboldt:1976:MIC,% Wozniakowski:1977:NSS% }. \NAMECITE{Nonnegative}{% Berman:1994:NMM,% Fallat:2001:BFT,% Friedland:1980:GPN% }. \NAMECITE{Nonnormality}{% Loizou:1969:NJC% }. \NAMECITE{Nonscalar}{% Paterson:1973:NNM% }. \NAMECITE{Nonsingular}{% Hearon:1977:NS% }. \NAMECITE{Nonsingularity}{% Poljak:1993:CRN,% Rohn:1990:NUD% }. \NAMECITE{Nonstandard}{% Crary:1979:VPN,% Yohe:1979:INA% }. \NAMECITE{Nonstationary}{% McKinnon:1998:CNM% }. \NAMECITE{Nonsymmetric}{% Bai:1993:CCN,% Bai:1997:IFP,% Bai:1997:SDN,% Li:1992:HDA,% hous58% }. \NAMECITE{Norm}{% Barlow:1998:GGE,% Bartels:1991:TTM,% Blue:1978:PFP,% Bunch:1971:ESM,% Cheng:2001:ILB,% Cheng:2001:PIB,% Gautschi:1975:NEI,% Higham:1990:EMN,% Higham:2000:BAM,% Merikoski:1997:BUB,% Schneider:1998:MWN,% Tao:1984:CSM,% Tao:1984:SMC,% Higham:1988:FCE,% Higham:1992:EMN% }. \NAMECITE{Normal}{% Foster:1991:MNE,% Henrici:1962:BII,% Laszlo:1994:ALB% }. \NAMECITE{normales}{% Benoit:1924:NMR% }. \NAMECITE{Normed}{% Stoer:1962:TDM% }. \NAMECITE{Norms}{% Bauer:1961:AMN,% Boyd:1974:PMN,% Goldberg:1983:MNM,% Gudmundsson:1995:SSS,% Schneider:1962:CTS,% Stone:1962:BPR,% Zielke:1988:SRM,% Rump:2002:OSN% }. \NAMECITE{Notation}{% Knuth:1992:TNN,% Scherer:1980:SNR% }. \NAMECITE{Note}{% Barlow:1992:NDC,% Benoit:1924:NMR,% Bunch:1982:NSD,% Cao:1986:NIH,% Chu:1985:NEE,% Clenshaw:1955:NSC,% Cohen:1974:NPS,% Demmel:2001:NAF,% Descloux:1963:NRE,% Forsythe:1959:RNR,% Golub:1966:NIR,% Hammarling:1974:NMG,% Horning:1979:NPR,% Ikramov:1998:RNC,% Jankowski:1983:NFP,% Kielbasinski:1987:NRE,% Loan:1979:NEM,% Malyshev:2000:NSG,% Moler:1990:TND,% Moller:1965:NQD,% Newcomb:1881:NFU,% Quintana:2001:NPM,% Reid:1971:NSG,% Smoktunowicz:1995:NSC,% Stewart:1985:NCD,% Stewart:1992:NGS,% Sun:1995:NBP,% Tsao:1975:NIH,% Wichmann:1992:NUF,% Yip:1986:NSS,% Zha:1995:NCS,% barl86,% edel91a,% vanVeldhuizen:1977:NPP% }. \NAMECITE{Notes}{% Fox:1948:NSA,% Higham:1999:NAS,% Kahan:1973:IAL,% Kahan:1996:LNS,% Knuth:1992:TNN% }. \NAMECITE{Nothing}{% Kahan:1987:BCC% }. \NAMECITE{{NP}}{% Poljak:1993:CRN,% Rohn:1995:NHR% }. \NAMECITE{{NP}-Hard}{% Poljak:1993:CRN% }. \NAMECITE{{NP}-Hardness}{% Rohn:1995:NHR% }. \NAMECITE{{NPSOL}}{% Gill:1986:UGN% }. \NAMECITE{Null}{% Cox:1999:ASN% }. \NAMECITE{Number}{% Barrett:1989:FMA,% Beckermann:2000:CNR,% Brent:1973:PAV,% Christiansen:1994:ECN,% Cline:1979:ECN,% Cline:1983:SCE,% Demmel:1983:CNE,% Dhillon:1998:RCC,% Edelman:1992:DSC,% Grimes:1981:CNE,% Guggenheimer:1995:SEC,% Hamada:1987:NRN,% Higham:1986:EAC,% Higham:1987:SCN,% Kuki:1973:SSA,% Matula:1985:FPR,% Merikoski:1997:BUB,% Paterson:1973:NNM,% Swartzlander:1975:SLN,% Weiss:1986:ACN,% Zlatev:1986:CNE% }. \NAMECITE{Numbers}{% Bai:1993:CCN,% Benford:1938:LAN,% Birkhoff:1975:THN,% Clinger:1990:HRF,% Coonen:1981:UDN,% Demmel:1987:CND,% Dixon:1983:EEE,% Edelman:1988:ECN,% Gohberg:1993:MCS,% Higham:1995:CNT,% Karatsuba:1963:MMN,% Lemeire:1975:BCN,% Leuprecht:1982:PAR,% Loizou:1969:NJC,% Matsui:1981:OUF,% Moler:1995:TTN,% Newcomb:1881:NFU,% OLeary:1980:EMC,% Percival:2002:RMM,% Rohn:1989:NCN,% Skeel:1989:SNB,% Sluis:1969:CNE,% Steele:1990:HPF,% Todd:1968:CN,% Turing:1936:CNA,% Viswanath:1998:CNR,% Zielke:1988:SRM% }. \NAMECITE{Numeric}{% Hauser:1996:HFP,% Matula:1970:FFP,% Moler:1990:TND% }. \NAMECITE{Numerical}{% Acton:1970:NMW,% Babuska:1969:NSM,% Bjorck:1996:NML,% Blackford:1997:PEN,% Blanch:1964:NEC,% Bleher:1985:AHA,% Bollen:1984:NSD,% Buchanan:1992:NMA,% Bunch:1987:WSS,% Butcher:1987:NAO,% Byers:1985:NCA,% Cody:1973:SDN,% Conte:1980:ENA,% Cox:1990:RNC,% Dahlquist:1974:NM,% Davis:1984:MNI,% Demmel:1984:URN,% Demmel:1992:DPH,% Demmel:1992:OPN,% Demmel:1993:TPN,% Demmel:1994:FNA,% Demmel:1997:ANL,% Dennis:1983:NMU,% Dongarra:1998:NLA,% Douglas:1959:REN,% Drkosova:1995:NSG,% Dubrulle:1983:CNM,% Edelman:1993:LDN,% Edelman:1994:SDN,% Eirola:1993:ABE,% Epton:1980:MSA,% Ford:1978:PET,% Fox:1964:INL,% Gastinel:1983:LNA,% Givens:1954:NCC,% Godunov:1993:GAN,% Goldstine:1951:NIM,% Goldstine:1977:HNA,% Golub:1965:NMS,% Govaerts:2000:NMB,% Hammarling:1982:NSS,% Hammarling:1987:NSG,% Hammer:1993:NTV,% Hamming:1973:NMS,% Heath:1984:NML,% Henrici:1964:ENA,% Higham:1987:NLA,% Higham:1994:SCP,% Higham:1999:NAS,% Higham:2000:NAQ,% Higham:2002:ASN,% Hildebrand:1974:INA,% Householder:1964:TMN,% Hull:1979:CNS,% Hull:1982:PCE,% Hull:1985:NT,% Isaacson:1966:ANM,% Jankowski:1977:IRI,% Jones:1974:NSE,% Jong:1977:TFD,% Kahan:1966:NLA,% Kahan:1996:IPE,% Kahaner:1989:NMS,% Kao:2000:LTA,% Lyness:1966:VMS,% McCracken:1964:NMF,% McCullough:1999:NRE,% Miller:1975:CCN,% Miller:1984:ENS,% Moler:1978:TRP,% Neumann:1947:NIM,% Nocedal:1999:NO,% Ortega:1972:NAS,% Overton:2001:NCI,% Pan:2001:CNC,% Parlett:1990:CJH,% Penzl:1998:NSG,% Powell:1970:SNM,% Press:1992:NRF,% Rienen:2001:NMC,% Rowan:1990:FSA,% Ruhe:1983:NAG,% Scarborough:1950:NMA,% Shampine:1994:NSO,% Skeel:1979:SNS,% Skeel:1980:IRI,% Skeel:1989:SNB,% Skeel:1993:ENC,% Smale:1990:SRF,% Soderstrom:1974:NPI,% Stoer:1980:INA,% Stummel:1980:REA,% Todd:1977:BNM,% 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\NAMECITE{Operator}{% Bhatia:1997:HWS,% Byers:1987:SVL,% Goodnight:1979:TSO,% Henderson:1981:VPM% }. \NAMECITE{Operators}{% Kato:1976:PTL% }. \NAMECITE{Optimal}{% Bauer:1963:OSMb,% Burdakov:1997:GAO,% Karlson:1997:EOB,% Malyshev:2001:OBP,% Malyshev:2002:COB,% McCarthy:1974:OCM,% Pan:1978:SAO,% Rump:2002:OSN,% Shapiro:1985:OBD,% Shapiro:1991:UBN,% Strassen:1969:GEO,% Stummel:1982:OEE,% Stummel:1985:SOE,% Sun:1996:OBP,% Sun:1997:OBPa,% Sun:1997:OBPb,% Walden:1995:OBP,% Watson:1991:AOS% }. \NAMECITE{{Optimale}}{% Samelson:1953:ORR% }. \NAMECITE{Optimality}{% Harter:1972:OWF% }. \NAMECITE{Optimally}{% Bauer:1963:OSMa,% Bauer:1969:ROS,% Businger:1968:MWC,% Shapiro:1982:OSM% }. \NAMECITE{Optimisation}{% Berenbaum:1991:DSM% }. \NAMECITE{Optimization}{% Conn:1992:LFP,% Dennis:1983:NMU,% Fletcher:1987:PMO,% Forsgren:1996:SSI,% Gill:1981:PO,% Gill:1992:PIS,% Higham:1993:ODS,% Kelley:1999:IMO,% Nocedal:1999:NO,% Powell:1970:SNM,% Powell:1998:DSA,% Swann:1974:COD,% Whaley:2001:AEO,% 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\NAMECITE{Parallelizable}{% Bailey:1988:SNA% }. \NAMECITE{Parameter}{% Bard:1974:NPE% }. \NAMECITE{Parameterization}{% Ford:1978:PET% }. \NAMECITE{Parameters}{% Cody:1988:AMS,% Schryer:1984:DCF% }. \NAMECITE{Paranoia}{% Karpinski:1985:PFP% }. \NAMECITE{Part}{% Bhatia:1994:VUP,% Gauss:1995:TCO,% LIA94,% Mathias:1992:MPD,% Peitgen:1992:FCP,% Gauss:1995:TCO,% Stummel:1985:FEAa,% Stummel:1985:FEAb% }. \NAMECITE{Partial}{% Bunch:1974:PPS,% Dax:1982:PPS,% Forsgren:1995:CMN,% Foster:1994:GEP,% Higham:1997:SDP,% Liu:1987:PPS,% Macleod:1989:SSG,% Skeel:1981:EER,% Toledo:1997:LRL,% Vavasis:1989:GEP,% Wright:1993:CPW,% vanVeldhuizen:1977:NPP% }. \NAMECITE{Particular}{% Hammarling:1976:PBL,% Zietak:1985:PCI% }. \NAMECITE{Partitioned}{% Higham:1994:SPI% }. \NAMECITE{Parts}{% Ewing:1991:PHP,% Higham:1998:FCS% }. \NAMECITE{Pascal}{% Sylvester:1850:AAN,% Klatte:1992:PXL,% Cohen:1975:IPM,% Goldstine:1972:CPN,% Hammer:1993:NTV% }. \NAMECITE{{PASCAL-XSC}}{% Klatte:1992:PXL,% Hammer:1993:NTV% }. \NAMECITE{{Pascal's}}{% Granville:1992:ZBB% }. \NAMECITE{Patriot}{% patriot92% }. \NAMECITE{Pattern}{% Torczon:1997:CPS% }. \NAMECITE{{Paul}}{% Ewing:1991:PHC,% Ewing:1991:PHP% }. \NAMECITE{Peacock}{% Joseph:1991:CPN% }. \NAMECITE{Peculiar}{% Raimi:1969:PDF% }. \NAMECITE{Pencils}{% Demmel:1983:CNE,% Demmel:1987:CSE% }. \NAMECITE{Penguin}{% Nelson:1998:PDM% }. \NAMECITE{{Penrose}}{% Soderstrom:1974:NPI% }. \NAMECITE{{Pentium}}{% Edelman:1997:MPD,% Markoff:1994:CFC,% Sharangpani:1994:SAF% }. \NAMECITE{People}{% Lavington:1980:EBC% }. \NAMECITE{{Pereyra}}{% Higham:1987:EAB% }. \NAMECITE{Perfidious}{% Wilkinson:1984:PP% }. \NAMECITE{Performance}{% Bliss:1992:API,% Demmel:1992:DPH,% Dongarra:1998:NLA,% Dongarra:2001:PVC,% Jones:1994:FSI,% Routh:1977:PSM% }. \NAMECITE{Permutation}{% Henderson:1981:VPM% }. \NAMECITE{Perturbation}{% Barrlund:1991:PBD,% Barrlund:1994:PBG,% Bjorck:1991:CWP,% Chang:1996:NPA,% Chang:1997:PAQ,% Chang:2001:CPA,% Drmac:1994:PCF,% Elden:1980:PTL,% Francois:1991:SPM,% Gu:1998:BPB,% Higham:1992:CPT,% Higham:1993:PTB,% Higham:1994:SCP,% Kaagstrom:1994:PAG,% Karlson:1997:EOB,% Kato:1976:PTL,% Malyshev:2001:OBP,% Malyshev:2002:COB,% OCinneide:1993:EPT,% Stewart:1973:EPB,% Stewart:1977:PBF,% Stewart:1977:PPI,% Stewart:1990:MPT,% Stewart:1990:SPT,% Stewart:1993:PLC,% Stewart:1997:PCF,% Stummel:1981:PTE,% Sun:1991:PBC,% Sun:1992:CPB,% Sun:1992:REP,% Sun:1995:PBQ,% Sun:1996:OBP,% Sun:1997:OBPa,% Sun:1997:OBPb,% Walden:1995:OBP,% Wedin:1973:PTP,% Wei:1990:PLS,% Zha:1993:CPA% }. \NAMECITE{Perturbations}{% Rump:1998:SPS,% Sun:1995:NBP% }. \NAMECITE{Perturbed}{% Greenbaum:1989:BSP% }. \NAMECITE{Phenomenon}{% Trefethen:1987:IPS% }. \NAMECITE{Phys}{% Cauchy:1841:EAP% }. \NAMECITE{Physical}{% Campbell-Kelly:1981:PPA,% Wilkinson:1948:ACE,% Wilkinson:1980:TWN,% wood58% }. \NAMECITE{Physics}{% Rutherford:1947:SCD,% Rutherford:1952:SCD% }. \NAMECITE{{Pi}}{% Borwein:1989:RME% }. \NAMECITE{{Pilot}}{% Campbell-Kelly:1981:PPA,% Wilkinson:1954:LAP,% Wilkinson:1954:PA,% Wilkinson:1980:TWN% }. \NAMECITE{Pipeline}{% Dongarra:1984:ILA% }. \NAMECITE{Pitfalls}{% Forsythe:1970:PCW,% Stegun:1956:PC% }. \NAMECITE{Pivot}{% Cohen:1974:NPS,% Cryer:1968:PSG,% Stewart:1974:MPE,% Tornheim:1965:MTP% }. \NAMECITE{Pivoting}{% Bjorck:1992:PSA,% Bunch:1971:ADP,% Bunch:1974:PPS,% Chu:1985:NEE,% Dax:1977:PTS,% Dax:1982:PPS,% Edelman:1992:CPC,% Edelman:1995:CPC,% Forsythe:1960:ACP,% Foster:1994:GEP,% Foster:1997:GFE,% Gould:1991:GGE,% Higham:1989:LGF,% Higham:1997:SDP,% Higham:2000:QFC,% Li:1998:MSG,% Liu:1987:PPS,% Macleod:1989:SSG,% Mead:2001:SPS,% Pena:1996:PSL,% Pena:1998:PSL,% Peters:1975:SGJ,% Poole:2000:RPS,% Skeel:1981:EER,% Sluis:1970:CEP,% Sorensen:1985:APP,% Thacher:1961:ACP,% Toledo:1997:LRL,% Vavasis:1989:GEP,% Wright:1993:CPW,% Yeung:1997:PAG,% vanVeldhuizen:1977:NPP% }. \NAMECITE{Places}{% Lehmer:1943:TMP% }. \NAMECITE{Plane}{% Anda:1994:FPR,% Hammarling:1974:NMG,% Wilkinson:1963:PRF% }. \NAMECITE{Plane-Rotations}{% Wilkinson:1963:PRF% }. \NAMECITE{Planetary}{% Quinn:1990:REL% }. \NAMECITE{Please}{% Turner:1991:WRR% }. \NAMECITE{Pocket}{% Smith:1975:SAP% }. \NAMECITE{Point}{% Anderson:1999:DAF,% Arioli:1986:EAA,% Bailey:1989:FPA,% Barlow:1981:DAR,% Barlow:1981:PEA,% Barlow:1985:PEA,% Barlow:1985:RED,% Barrett:1989:FMA,% Boley:1994:FPF,% Brent:1973:PAV,% Brown:1981:SRM,% Carr:1959:EAF,% Carter:1991:MFP,% Clenshaw:1984:BFP,% Clinger:1990:HRF,% Cody:1973:SDN,% Cody:1984:PRW,% Cody:1988:FPS,% Cody:1993:AFS,% Cornea-Hasegan:1999:IFP,% Dekker:1971:FPT,% Demmel:1989:FPE,% Demmel:1992:SFP,% Demmel:1995:CSB,% Demmel:2001:NAF,% Espelid:1995:FPS,% Farnum:1988:CSF,% Fateman:1982:HLL,% Feldstein:1982:LSF,% Feldstein:1986:OUS,% Gal:1991:AEM,% Gentleman:1974:MAR,% Goldberg:1991:WEC,% Goodman:1985:REF,% Group:1981:PSB,% Hauser:1996:HFP,% Hida:2001:AQD,% Higham:1991:TMP,% Higham:1993:AFP,% Hough:1981:API,% Jankowski:1983:NFP,% Kahan:1979:PFP,% Kahan:1980:IAO,% Kahan:1981:WDW,% Kahan:1987:DPI,% Kahan:1996:LNS,% Karpinski:1985:PFP,% Kuki:1973:SSA,% LIA94,% Leuprecht:1982:PAR,% Linnainmaa:1974:ASK,% Linnainmaa:1975:TAS,% Linnainmaa:1981:SDP,% Linz:1970:AFP,% Longley:1967:ALS,% Malcolm:1971:AFP,% Malcolm:1972:ARP,% Matsui:1981:OUF,% Matula:1970:FFP,% McKinnon:1998:CNM,% Moler:1967:IRF,% Moller:1965:QDP,% Moore:1998:MCP,% Overton:2001:NCI,% Plauger:1988:PFP,% Priest:1991:AAP,% Priest:1992:PFP,% Reiser:1975:EDF,% Robertazzi:1988:BOF,% Russinoff:1998:MCP,% Schryer:1981:TCF,% Schryer:1984:DCF,% Severance:1998:IOM,% Sharangpani:1994:SAF,% Shewchuk:1997:APF,% Smith:1991:AFP,% Steele:1990:HPF,% Sterbenz:1974:FPC,% Stummel:1982:OEE,% Sweeney:1965:AFP,% Tang:1989:TDI,% Tang:1990:TDI,% Tang:1992:TDI,% Tienari:1970:SMR,% Tisseur:2001:NMF,% Urabe:1968:RED,% Verdonk:2001:PRIa,% Verdonk:2001:PRIb,% Vitenko:1968:OAA,% Wallis:1990:IFP,% Wichmann:1989:TFS,% Wichmann:1992:NUF,% Wilkinson:1960:EAF,% Wilkinson:1963:PRF,% Wright:1997:PDI,% fpv86,% ieee85,% ieee87,% Bohlender:1977:FPC% }. \NAMECITE{Points}{% Reichel:1990:NIL% }. \NAMECITE{{Poisson's}}{% Buzbee:1970:DMS% }. \NAMECITE{Polar}{% Higham:1986:CPD,% Higham:1994:MSD,% Higham:1994:PAC% }. \NAMECITE{Polynomial}{% Adams:1967:SCP,% Bini:1994:PMC,% Edelman:1995:PRC,% Fike:1967:MEP,% Newbery:1974:EAP,% Oliver:1979:REP,% Olver:1986:EBP,% Peters:1971:PPA,% Reichel:1991:FQD,% Schonfelder:1980:ECP,% Smith:1965:ASO,% Stewart:1971:EAA,% Werner:1984:PIL,% Wilkinson:1984:PP% }. \NAMECITE{Polynomials}{% Calvetti:1993:FIV,% Gautschi:1983:CVL,% Higham:1988:FSV,% Higham:2001:BEM,% Kittaneh:1995:SVC,% Loan:1979:NEM,% Pan:2001:SMP,% Paterson:1973:NNM,% Toh:1994:PPP,% Traub:1966:APU,% Knuth:1962:EPC% }. \NAMECITE{{Polynoms}}{% Hilbert:1894:BTL% }. \NAMECITE{{PORT}}{% Fox:1978:PMS% }. \NAMECITE{Portable}{% Blue:1978:PFP,% Cody:1993:ACP,% Demmel:1992:DPH,% Douglas:1994:GPL,% Yohe:1979:SIA,% Yohe:1980:PSI% }. \NAMECITE{Posed}{% Demmel:1987:CND,% Demmel:1988:ASI% }. \NAMECITE{Positive}{% Ando:1987:TPM,% Bauer:1971:IPD,% Beckermann:2000:CNR,% Boor:1977:BEA,% Cryer:1973:FTP,% Cryer:1976:SPT,% Cybenko:1986:CME,% Doyle:1957:ISC,% George:1981:CSL,% Golub:1979:UPD,% Higham:1988:CNS,% Higham:1998:FCS,% Kerr:1990:FCT,% Makhoul:1991:TDP,% Martin:1966:IRS,% Mathias:1992:MPD% }. \NAMECITE{Positive-Definite}{% Doyle:1957:ISC% }. \NAMECITE{Positivity}{% Gasca:1992:TPN,% Karlin:1968:TP% }. \NAMECITE{Possible}{% Stone:1962:BPR% }. \NAMECITE{posteriori\}}{% Olver:1982:PEB% }. \NAMECITE{Power}{% Boyd:1974:PMN,% Kuczynski:1992:ELE% }. \NAMECITE{{PowerPC}}{% Computer:1994:IMP% }. \NAMECITE{Powers}{% Friedland:1980:GPN,% Gautschi:1953:ABP,% Higham:1995:MPF,% Meyer:1977:CPM% }. \NAMECITE{Practical}{% Blackford:1997:PEN,% Egecioglu:1990:PMF,% Fletcher:1987:PMO,% Gill:1981:PO,% Hammarling:1976:PBL,% Kaporin:1999:PAF,% Laderman:1992:PAA,% Peters:1971:PPA,% Rienen:2001:NMC% }. \NAMECITE{Practice}{% Cody:1988:FPS,% Foster:1994:GEP,% Kulisch:1981:CAT% }. \NAMECITE{{PRECISE}}{% Krishnan:2001:PEM% }. \NAMECITE{Precision}{% Bailey:1993:MPM,% Brent:1973:PAV,% Brent:1980:AIB,% 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Samelson:1953:ORR% }. \NAMECITE{{Rechengenauigkeit}}{% Samelson:1953:ORR% }. \NAMECITE{Recipes}{% Press:1992:NRF% }. \NAMECITE{Recommendations}{% Chan:1983:ACS% }. \NAMECITE{Records}{% Hunt:1997:ROA% }. \NAMECITE{Rectangular}{% Knight:1995:FRM% }. \NAMECITE{Recurrences}{% Greenbaum:1989:BSP% }. \NAMECITE{Recursion}{% Gustavson:1997:RLA% }. \NAMECITE{Recursive}{% Chu:2000:FRA,% Dongarra:2000:RAS,% Ferng:1991:ALM% }. \NAMECITE{Recursively}{% Greenbaum:1997:EAA% }. \NAMECITE{Reducing}{% Kahan:1965:FRR,% Ross:1965:RTE,% Wolfe:1964:RTE% }. \NAMECITE{Reduction}{% Aasen:1971:RSM,% Althoen:1987:GJR,% Amodio:1994:BEA,% Bondeli:1994:CRS,% Ferguson:1995:ECS,% Roberts:1980:LMR,% Tornheim:1965:MTP% }. \NAMECITE{Reference}{% Char:1991:MVL,% Hammarling:1976:PBL,% IBM:1988:ESS,% Inc:1989:UMS,% Klatte:1992:PXL,% Toledo:1997:LRL% }. \NAMECITE{Refined}{% Meinguet:1983:REA% }. \NAMECITE{Refinement}{% Bjorck:1967:IRLa,% Bjorck:1967:IRLb,% Bjorck:1968:IRL,% Bjorck:1978:CIR,% Bjorck:1990:IRR,% Ghavimi:1995:BES,% Gulliksson:1994:IRC,% Higham:1990:IRE,% Higham:1991:IRE,% Higham:1997:IRL,% Jankowski:1977:IRI,% Kielbasinski:1981:IRL,% Martin:1966:IRS,% Moler:1967:IRF,% Skeel:1980:IRI,% Smoktunowicz:1984:BCI,% Tisseur:2001:NMF,% Golub:1966:NIR,% Govaerts:1990:BEO% }. \NAMECITE{Reflections}{% Parlett:1971:AAR% }. \NAMECITE{Reflectors}{% Schreiber:1988:BRT% }. \NAMECITE{Refutation}{% Kahan:1991:ARL% }. \NAMECITE{Regression}{% Beaton:1976:ARS,% Higham:1990:CEB% }. \NAMECITE{Regular}{% Kaagstrom:1996:CES,% Kaagstrom:1996:LSA,% Plemmons:1976:RSD% }. \NAMECITE{Rehabilitation}{% Dekker:1989:RGJ% }. \NAMECITE{Related}{% Stewart:1997:TMG% }. \NAMECITE{Relation}{% Higham:1994:MSD,% Puschmann:1983:CPR,% Sylvester:1851:RBM% }. \NAMECITE{Relative}{% Demmel:1987:EAA,% Demmel:1999:CSV,% Gluchowska:1990:SLL,% Goodman:1985:REF,% Larson:1980:ARE,% Larson:1983:ASR,% Pryce:1984:NMR,% Ziv:1982:RDE% }. \NAMECITE{Relatively}{% Parlett:2000:RRR% }. \NAMECITE{Relaxation}{% Forsythe:1951:GGR,% 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\NAMECITE{Reprint}{% Forsythe:1959:RNR% }. \NAMECITE{Require}{% Powell:1975:VUM% }. \NAMECITE{Requirements}{% Kreczmar:1976:MRS% }. \NAMECITE{Research}{% Moler:1978:TRP,% Stewart:1977:RDL% }. \NAMECITE{Residual}{% Ghavimi:1995:RBD,% Greenbaum:1997:EAA,% Skeel:1981:EER,% Stummel:1985:FEAa% }. \NAMECITE{r\'esolution}{% Benoit:1924:NMR% }. \NAMECITE{Resource}{% Boisvert:1997:MMW% }. \NAMECITE{Resources}{% Browne:1994:NSR,% Kearfott:1996:ICI% }. \NAMECITE{Respectable}{% Wright:1996:DSM% }. \NAMECITE{Result}{% Yuval:1978:SPS% }. \NAMECITE{{R}\'esultats}{% Porte:1974:ESE% }. \NAMECITE{Results}{% Rohn:1995:NHR% }. \NAMECITE{Reveal}{% Gentleman:1974:MAR,% Malcolm:1972:ARP% }. \NAMECITE{Revealing}{% Chan:1992:SAR,% Pan:2000:ECR% }. \NAMECITE{Revelations}{% Turner:1984:FRD% }. \NAMECITE{Review}{% Bell:1931:RCH,% Bodewig:1949:RRE,% Campbell-Kelly:1984:RAT,% Henderson:1981:VPM,% Meurant:1992:RIS% }. \NAMECITE{Revised}{% Thompson:1942:GFC% }. \NAMECITE{Revisited}{% Wilkinson:1986:EAR% }. \NAMECITE{Revisiting}{% Friedland:1991:RMS% }. \NAMECITE{Reziproken}{% schu33% }. \NAMECITE{{Riccati}}{% Arnold:1984:GEA,% Byers:1985:NCA,% Byers:1987:SAR,% Gardiner:1991:PAA,% Ghavimi:1995:BES,% Kenney:1990:SAD,% Kenney:1992:MSA,% Laub:1979:SMS,% Roberts:1980:LMR% }. \NAMECITE{{Richardson}}{% Golub:1962:BRE,% Zawilski:1991:NSC% }. \NAMECITE{Ridge}{% Heath:1990:EEI% }. \NAMECITE{{Riesz}}{% Gillespie:1991:NVT% }. \NAMECITE{Right}{% Higham:1992:CPT,% Oettli:1964:CAS,% Sun:1996:OBP% }. \NAMECITE{Right-Hand}{% Higham:1992:CPT,% Oettli:1964:CAS,% Sun:1996:OBP% }. \NAMECITE{Rigorous}{% Coomes:1995:RCS,% Tucker:2002:ROS% }. \NAMECITE{Robust}{% Anderson:1991:RTS,% Parlett:2000:RRR,% Poljak:1993:CRN,% Shewchuk:1997:APF% }. \NAMECITE{Robustness}{% Hoffmann:1989:PAR% }. \NAMECITE{Role}{% Codenotti:2001:RAF% }. \NAMECITE{Roll}{% Bailey:1993:MPM% }. \NAMECITE{Roll-Up}{% Bailey:1993:MPM% }. \NAMECITE{Rook}{% Foster:1997:GFE,% Poole:2000:RPS% }. \NAMECITE{{Room}}{% Wallis:1972:CRS% }. 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\NAMECITE{Sequence}{% harv46% }. \NAMECITE{Series}{% Anderson:1971:SAT,% Boyle:1994:AFS,% Clenshaw:1955:NSC,% Cooley:1965:AMC,% Newbery:1973:EAF,% Oliver:1977:EAM,% Smith:1965:ASO,% hp93% }. \NAMECITE{Services}{% Browne:1994:NSR% }. \NAMECITE{Set}{% Cline:1983:SCE,% Dongarra:19xx:AES,% Dongarra:19xx:ESF,% Dongarra:19xx:SLB,% Duff:1982:MSF,% Hartfiel:1980:CSS,% Oettli:1965:SSL,% Snyder:1955:ISS,% Blackford:2002:USB,% Dongarra:19xx:ASL% }. \NAMECITE{Sets}{% Duff:1979:DSS,% Duff:1982:MSF,% Wallis:1972:CRS% }. \NAMECITE{{Severance}}{% Severance:1998:IOM% }. \NAMECITE{Severe}{% Feldstein:1986:OUS% }. \NAMECITE{Shadowing}{% Coomes:1995:RCS% }. \NAMECITE{Shadows}{% Sanz-Serna:1993:SCS% }. \NAMECITE{Shared}{% Kaagstrom:1992:DSM% }. \NAMECITE{Sharply}{% Oettli:1965:ASL% }. \NAMECITE{Sheet}{% Bailey:1993:MPM% }. \NAMECITE{{Sherman}}{% Yip:1986:NSS% }. \NAMECITE{Shifting}{% Stewart:1971:EAA% }. \NAMECITE{Shifts}{% Dubrulle:1994:MQI% }. \NAMECITE{Short}{% Crout:1941:SME% }. \NAMECITE{Shorthand}{% Scherer:1980:SNR% }. \NAMECITE{Should}{% Goldberg:1991:WEC% }. \NAMECITE{Sides}{% Higham:1992:CPT,% Oettli:1964:CAS,% Sun:1996:OBP% }. \NAMECITE{Sign}{% Byers:1987:SAR,% Higham:1994:MSD,% Kahan:1987:BCC,% Kenney:1992:MSA,% Pan:2001:CNC,% Roberts:1980:LMR,% Swartzlander:1975:SLN% }. \NAMECITE{Sign/Logarithm}{% Swartzlander:1975:SLN% }. \NAMECITE{Significance}{% Feldstein:1982:LSF,% Feldstein:1986:OUS,% Meinguet:1969:ES,% Metropolis:1977:MSA% }. \NAMECITE{Significant}{% Boyle:1994:AFS,% Turner:1982:DLS% }. \NAMECITE{Signs}{% Danloy:1976:CSH% }. \NAMECITE{{SIMD}}{% Bjorstad:1992:EMM% }. \NAMECITE{Similarity}{% Rath:1982:FGR% }. \NAMECITE{Simple}{% Brown:1981:SRM,% Griewank:1985:SNE,% Guggenheimer:1995:SEC,% Tsao:1983:SAE,% Yuval:1978:SPS% }. \NAMECITE{Simplest}{% Moler:1990:CCW% }. \NAMECITE{Simplex}{% Gill:1973:NSF,% Lagarias:1998:CPN,% McKinnon:1998:CNM,% Nelder:1965:SMF,% Routh:1977:PSM% }. \NAMECITE{Simultaneous}{% Barron:1960:SSL,% Fox:1948:NSA,% Snyder:1955:ISS,% Verzuh:1949:SSL% }. \NAMECITE{Single}{% Jankowski:1985:ASC% }. \NAMECITE{Singular}{% Andrew:1990:ESV,% Bai:1993:CGS,% Byers:1987:SVL,% Chandrasekaran:1994:BEE,% Chu:1999:CMP,% Chu:2000:FRA,% Dax:1990:CLS,% Demmel:1990:ASV,% Demmel:1999:ASV,% Demmel:1999:CSV,% Griewank:1985:SNE,% Gu:1994:ECS,% Higham:1993:FPB,% Jennings:1982:BSV,% Karasalo:1974:CTD,% Keller:1965:SSS,% Kittaneh:1995:SVC,% Kosowski:2000:CUT,% Meyer:1977:CPM,% Moler:1983:SVA,% Stewart:1993:EHS,% Varah:1975:LBS,% demm92% }. \NAMECITE{Singularities}{% Griewank:1985:SNE% }. \NAMECITE{Singularity}{% Rump:1999:ICM,% Rump:2002:OSN% }. \NAMECITE{{Sir}}{% Bell:1931:RCH% }. \NAMECITE{Size}{% Cohen:1974:NPS,% Cryer:1968:PSG,% Skeel:1981:EER% }. \NAMECITE{Sizing}{% Dennis:1993:SLC% }. \NAMECITE{Skew}{% Bunch:1982:NSD% }. \NAMECITE{Skew-Symmetric}{% Bunch:1982:NSD% }. \NAMECITE{{Slash}}{% Matula:1985:FPR% }. \NAMECITE{Slightly}{% Greenbaum:1989:BSP% }. \NAMECITE{Sluggish}{% Stewart:1997:MCS% }. \NAMECITE{{Smale's}}{% Tucker:2002:ROS% }. \NAMECITE{Small}{% Gudmundsson:1995:SSS,% Kao:2000:LTA,% Kenney:1994:SSS,% Pena:1996:PSL% }. \NAMECITE{Small-Sample}{% Gudmundsson:1995:SSS,% Kenney:1994:SSS% }. \NAMECITE{Smallest}{% Edelman:1991:DMS,% Varah:1975:LBS% }. \NAMECITE{Snippet}{% Fox:1978:AAJ% }. \NAMECITE{Software}{% Arnold:1984:GEA,% Cody:1980:SME,% Cody:1982:ITF,% Demmel:1984:URN,% Dongarra:1987:DMS,% Dongarra:2001:PVC,% Ford:1978:PET,% Frigo:1998:FAS,% Gardiner:1992:AFS,% Hull:1979:CNS,% Jansen:1986:HAA,% Kaagstrom:1996:CES,% Kaagstrom:1996:LSA,% Kahaner:1989:NMS,% Linnainmaa:1981:SDP,% McCullough:1999:NRE,% Miller:1975:SRA,% Miller:1980:SRA,% Miller:1984:ENS,% Miller:19xx:SRA,% Patterson:1998:COD,% Whaley:2001:AEO,% Yohe:1979:SIA,% Yohe:1980:PSI,% Zlatev:1986:CNE,% Larson:1983:ASR,% Miller:19xx:ASR,% patriot92% }. \NAMECITE{Solution}{% Abdelmalek:1971:REA,% Alpert:1993:WLB,% Alvarado:1993:HPS,% Amodio:1994:BEA,% Arioli:1992:SCC,% Atanasoff:1940:CMS,% Axelsson:1994:ISM,% Bailey:1991:USA,% Bargmann:1946:SLS,% 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Bjorck:1968:IRL,% Bjorck:1978:CIR,% Bjorck:1991:CWP,% Businger:1965:LLS,% Cline:1976:SUL,% Cope:1979:BSL,% Demmel:1988:ASI,% Fraysse:1992:RCS,% Ghavimi:1995:BES,% Griewank:1985:SNE,% Hearon:1977:NS,% Higham:1989:AST,% Kovarik:1976:CAS,% Lancaster:1970:ESL,% Oettli:1965:ASL,% Sluis:1975:SSL,% Snyder:1955:ISS% }. \NAMECITE{Solve}{% Bhatia:1997:HWS,% Kahan:1986:SRC% }. \NAMECITE{Solver}{% Calvetti:1992:CVS,% Forsythe:1969:WSQ,% Moler:1972:ALE,% Tucker:2002:ROS% }. \NAMECITE{Solvers}{% Arioli:1992:SCI,% Ashcraft:1998:ASI,% Cheng:1998:SIM,% Demmel:1993:IEB,% Enright:1989:NEC,% Higham:1995:SPT,% Sleijpen:2000:DER% }. \NAMECITE{Solves}{% Anderson:1991:RTS,% Govaerts:1990:BEO% }. \NAMECITE{Solving}{% Arioli:1985:EAA,% Arioli:1989:SSL,% Barwell:1976:CAS,% Bjorck:1967:SLL,% Bollen:1984:NSD,% Boros:1994:FAS,% Bunch:1971:DMS,% Bunch:1977:SSM,% Bunch:1989:SSA,% Buzbee:1970:DMS,% Byers:1987:SAR,% Cox:1999:ASN,% Crout:1941:SME,% Dax:1990:CLS,% Demmel:1985:IAS,% Duff:1982:MSF,% Forsythe:1953:SLA,% Forsythe:1969:SQE,% Gardiner:1992:AFS,% Gluchowska:1990:SLL,% Golub:1965:NMS,% Gragg:1976:SVS,% Greenbaum:1997:IMS,% Griewank:1985:SNE,% Hairer:1991:SOD,% Higham:1987:EAB,% Higham:1990:IRE,% Higham:1990:SAA,% Higham:1991:IRE,% Higham:1993:FPB,% Hoffmann:1987:SLS,% Jansen:1986:HAA,% Kaagstrom:1989:GSM,% Kaagstrom:1996:LSA,% Laub:1979:SMS,% Lawson:1995:SLS,% Lay-Yong:1989:MSL,% Li:1992:HDA,% Malcolm:1974:FMS,% Paige:1973:EAM,% Sameh:1977:STS,% Smoktunowicz:1995:NSC,% Weiss:1986:ACN,% Wozniakowski:1977:NSS,% Yip:1986:NSS% }. \NAMECITE{Some}{% Barnett:1968:SAL,% Bunch:1977:SSM,% Chan:1992:SAR,% Cryer:1976:SPT,% Demmel:1995:CSB,% Fan:1955:SMI,% Ferguson:1991:AMA,% Garner:1976:SSR,% Hotelling:1943:SNM,% Jansen:1986:HAA,% Jordan:1968:EEG,% Linnainmaa:1974:ASK,% Macleod:1989:SSG,% Mendelsohn:1956:SEP,% Paige:1990:SAG,% Rohn:1995:NHR,% Rutherford:1947:SCD,% Rutherford:1952:SCD,% Smale:1990:SRF,% Sun:1992:CPB,% Tao:1984:SMC,% Tyrtyshnikov:1991:CTM,% Wilkinson:1971:SCN,% Zielke:1988:SRM,% Kielbasinski:1973:SAC,% Magnus:1979:CMS% }. \NAMECITE{Somme}{% Pichat:1972:CSA% }. \NAMECITE{{SOR}}{% Starke:1991:S% }. \NAMECITE{Sorcerer}{% White:1997:INL% }. \NAMECITE{Soviet}{% Wareeditor:1960:SCT% }. \NAMECITE{Space}{% Cox:1999:ASN,% Fan:1955:SMI,% Power:1986:CDH,% Stoer:1962:TDM% }. \NAMECITE{Spaces}{% Ostrowski:1973:SEE% }. \NAMECITE{{SPARCompiler}}{% sunM92,% sunM92a% }. \NAMECITE{Sparse}{% Alvarado:1993:HPS,% Arioli:1989:ASA,% Arioli:1989:SSL,% Barlow:1992:RDM,% Bischof:1990:ICEb,% Dongarra:2000:RAS,% Duff:1979:DSS,% Duff:1982:MSF,% Duff:1986:DMS,% Duff:1989:SMT,% Duff:1991:FSS,% Duff:1992:UGH,% Erisman:1974:MST,% Erisman:1987:EOU,% George:1981:CSL,% Grimes:1981:CNE,% Heath:1984:NML,% Higham:1994:SPI,% Li:1998:MSG,% Liu:1987:PPS,% Malyshev:2002:COB,% Reid:1987:SM,% Zlatev:1986:CNE,% barl86,% dure95% }. \NAMECITE{Special}{% Bondeli:1994:CRS,% Meyer:1957:MIL% }. \NAMECITE{Specification}{% Demmel:1992:SFP,% Wichmann:1989:TFS% }. \NAMECITE{Specified}{% Cheng:2001:ALM,% Ikramov:1998:RNC,% Kaagstrom:1996:CES,% Zha:1995:NCS% }. \NAMECITE{Spectra}{% Beam:1993:ASB,% Kostlan:1992:SGM,% Trefethen:1999:SP% }. \NAMECITE{Spectral}{% Bai:1997:IFP,% Bai:1997:SDN,% Geman:1986:SRL,% Henrici:1962:BII,% Trefethen:1987:IPS% }. \NAMECITE{Speed}{% Bailey:1988:EHS,% Bailey:1988:SNA,% Pan:1984:HCW% }. \NAMECITE{Spline}{% Ahlberg:1963:CPS% }. \NAMECITE{Splittings}{% Plemmons:1976:RSD% }. \NAMECITE{Square}{% Benschop:1971:MSE,% Gentleman:1973:LSC,% Higham:1987:CRS,% Higham:1997:SIM,% Karp:1997:HPD,% Moler:1983:RSR,% Russinoff:1998:MCP,% Verdonk:2001:PRIa% }. \NAMECITE{Squares}{% Abdelmalek:1971:REA,% Arioli:1989:ASA,% Barlow:1987:SGR,% Barlow:1988:EAI,% Barlow:1988:IME,% Barlow:1992:NDC,% Bjorck:1967:IRLa,% Bjorck:1967:IRLb,% Bjorck:1967:SLL,% Bjorck:1968:IRL,% Bjorck:1978:CIR,% Bjorck:1987:SAM,% Bjorck:1990:LSM,% Bjorck:1991:CWP,% Bjorck:1996:NML,% Businger:1965:LLS,% Cline:1973:EMS,% Cox:1998:SHQ,% Cox:1999:ASN,% Cox:1999:BEB,% Cox:1999:RWB,% Elden:1980:PTL,% Farebrother:1988:LLS,% Gentleman:1973:LSC,% Gluchowska:1990:SLL,% Golub:1965:NMS,% Gu:1994:ECS,% Gu:1998:BPB,% Gulliksson:1992:MQD,% Gulliksson:1994:IRC,% Gulliksson:1995:BEA,% Heath:1984:NML,% Hough:1997:COD,% Jang:1997:CLS,% Jennings:1974:DEA,% Jordan:1968:EEG,% Karasalo:1974:CTD,% Karlson:1997:EOB,% Kenney:1998:SCEb,% Lawson:1995:SLS,% Loan:1985:MWE,% Longley:1967:ALS,% Malyshev:2002:COB,% Manteuffel:1981:IAA,% Peters:1970:LSP,% Plemmons:1974:LLS,% Powell:1969:AHT,% Reichel:1991:FQD,% Reid:2000:ISL,% Sautter:1978:EAG,% Sluis:1975:SSL,% Stewart:1977:PPI,% Sun:1996:OBP,% Sun:1997:OBPa,% Walden:1995:OBP,% Wallis:1972:CRS,% Wei:1990:PLS,% Golub:1966:NIR% }. \NAMECITE{Squaring}{% Friedland:1991:RMS% }. \NAMECITE{Stability}{% Arioli:1992:SCC,% Babuska:1969:NSM,% Bini:1980:SFA,% Bjorck:1987:SAM,% Bjorck:1992:PSA,% Bollen:1984:NSD,% Bunch:1987:WSS,% Bunch:1989:SSA,% Cox:1998:SHQ,% Cox:1999:ASN,% Croz:1992:SMM,% Demmel:1992:SBA,% Demmel:1993:TPN,% Demmel:1995:SBF,% Diamond:1978:SRI,% 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