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\ifx \NAMECITE \undefined % User can override this definition 
    \def \NAMECITE #1#2{{\bf #1} \cite{#2}}
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\NAMECITE{$ (A - \lambda M) x = 0 $}{%
		Natvig:1986:ECC%
		}.
\NAMECITE{$ (K - \lambda M)z = 0 $}{%
		Parlett:1980:HSK,%
		Parlett:1981:HSK%
		}.
\NAMECITE{$2$}{%
		Parlett:1991:IMR,%
		Parlett:1992:MMR,%
		Parlett:1994:MMR%
		}.
\NAMECITE{{\$24.80}}{%
		Parlett:1979:BRH%
		}.
\NAMECITE{$3$}{%
		Zheng:2005:TLT,%
		Zheng:2005:TST%
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\NAMECITE{$ A X = b $}{%
		Parlett:1981:ACT%
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\NAMECITE{$ d q d s $}{%
		Parlett:2000:IAP,%
		Parlett:2002:IDA%
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\NAMECITE{$ E i g 3 $}{%
		Forsythe:1964:TPA%
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\NAMECITE{$ \exp (B t) $}{%
		Parlett:1985:DAA%
		}.
\NAMECITE{$K$}{%
		Parlett:1980:HSK,%
		Parlett:1981:HSK%
		}.
\NAMECITE{$ L D L^t $}{%
		Parlett:2000:TR%
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\NAMECITE{$ L R $}{%
		Ferreira:2009:CAO,%
		Gutknecht:2011:HWA,%
		Parlett:1964:DUM%
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\NAMECITE{$ L U $}{%
		Parlett:1967:A,%
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\NAMECITE{$M$}{%
		Parlett:1980:HSK,%
		Parlett:1981:HSK%
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\NAMECITE{$ N \times N $}{%
		Parlett:1969:NNM%
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\NAMECITE{$ \operatorname {Eig} $}{%
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		Parlett:1997:NVP%
		}.
\NAMECITE{$ Q L $}{%
		Parlett:1978:NPG%
		}.
\NAMECITE{$ Q R $}{%
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		Parlett:1993:FIT,%
		Parlett:2000:A,%
		Parlett:1966:SIM,%
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		Parlett:2000:TR%
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\NAMECITE{$ \varphi $}{%
		Koikari:2009:ABS%
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\NAMECITE{-functions}{%
		Koikari:2009:ABS%
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		}.
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		Morrell:1969:IPP%
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		Bunch:1976:SMC%
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		Glowinski:1982:CMA,%
		Watson:1982:NAP%
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		Glowinski:1986:CMA%
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		Glowinski:1988:FIS%
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		Albrecht:1991:NTE%
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		Reichel:1993:NLA%
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		Brown:1994:PCL%
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		Iserles:1995:AN%
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\NAMECITE{{1996}}{%
		Buhmann:1997:ATO%
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\NAMECITE{19th}{%
		Parlett:1979:BRH%
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\NAMECITE{{205}}{%
		Natvig:1986:ECC,%
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\NAMECITE{25-March}{%
		Albrecht:1991:NTE%
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\NAMECITE{{26}}{%
		Hirsch:1992:ERS%
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\NAMECITE{2e}{%
		Absi:1980:NME%
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\NAMECITE{2nd}{%
		Absi:1980:NME%
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\NAMECITE{{517}}{%
		Chan:1977:APC%
		}.


\NAMECITE{68077a}{%
		Hirsch:1992:ERS%
		}.
\NAMECITE{68077b}{%
		Hirsch:1992:ERS%
		}.


\NAMECITE{{880}}{%
		Marques:2009:ATI%
		}.
\NAMECITE{{89}}{%
		Kaashoek:1990:PIS%
		}.
\NAMECITE{{894}}{%
		Koikari:2009:ABS%
		}.


\NAMECITE{94e}{%
		Hirsch:1992:ERS%
		}.
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		Watson:1982:NAP%
		}.


\NAMECITE{=}{%
		Absi:1980:NME,%
		Albrecht:1991:NTE%
		}.


\NAMECITE{Accuracy}{%
		Demmel:2007:PAL,%
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		Demmel:2008:PAL,%
		Parlett:2005:BMD%
		}.
\NAMECITE{Accurate}{%
		Barlow:2000:PIW,%
		Fernando:1992:ASVa,%
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		Fernando:1993:ASVc,%
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		McCurdy:1983:ACD,%
		McCurdy:1984:ACD,%
		Parlett:1986:ACM,%
		Barlow:2000:ASE,%
		Barlow:2003:SIA,%
		Barlow:2006:PSI,%
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\NAMECITE{ACM}{%
		Crane:1987:HAC%
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\NAMECITE{{Acta}}{%
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		}.
\NAMECITE{Algebra}{%
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		Shomron:2009:LAM,%
		Partlett:1972:BRB%
		}.
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		Parlett:1966:BRB%
		}.
\NAMECITE{{ALGOL}}{%
		Forsythe:1964:TPA,%
		Varah:1966:CPA%
		}.
\NAMECITE{Algorithm}{%
		Dhillon:2004:DIM,%
		Dhillon:2005:GMM,%
		Li:2014:IDA,%
		Marques:2005:SCM,%
		Parlett:1964:NBA,%
		Parlett:1968:GCB,%
		Parlett:1978:NPG,%
		Parlett:1979:LAS,%
		Parlett:1981:TPL,%
		Parlett:1982:ELE,%
		Parlett:1990:MLA,%
		Parlett:1994:DWF,%
		Parlett:2000:A,%
		Parlett:2002:QA,%
		Parlett:2004:HMA,%
		Schulman:2017:ACM,%
		Bakkaloglu:1997:PPA,%
		Davies:2003:SPA,%
		Dhillon:2006:DIM,%
		Ferreira:2009:CAO,%
		Ferreira:2022:RTD,%
		Hoffman:1977:NPG,%
		Hoffmann:1978:NPG,%
		Koikari:2009:ABS,%
		Marques:2006:CES,%
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		Parlett:1966:CQR,%
		Parlett:1969:CPA,%
		Parlett:1977:LAI,%
		Parlett:1980:NLL,%
		Parlett:1981:LAL,%
		Parlett:1982:AUE,%
		Parlett:1982:TMS,%
		Parlett:1984:LAL,%
		Parlett:1985:DAA,%
		Parlett:1985:LAL,%
		Parlett:1987:MLA,%
		Parlett:1990:LAI,%
		Parlett:2000:IAP,%
		Parlett:2002:IDA,%
		Rust:1966:SAC,%
		Chan:1977:APC,%
		Koikari:2009:ABS,%
		Marques:2009:ATI,%
		Parlett:1967:CCA%
		}.
\NAMECITE{Algorithms}{%
		Cullum:1985:LAL,%
		Fernando:1992:ASVa,%
		Kahan:1974:ALA,%
		Parlett:1971:AAR,%
		Parlett:1985:ILA,%
		Bathe:1977:FCA,%
		Fernando:1992:ASVb,%
		Fernando:1993:ASVc,%
		Fernando:1993:DA,%
		Fernando:1993:ICA,%
		Fernando:1994:ASV,%
		Fernando:1995:ICA,%
		Gutknecht:2011:HWA,%
		Parlett:1967:A,%
		Parlett:1995:NA%
		}.
\NAMECITE{allow}{%
		Liesen:2008:NSP%
		}.
\NAMECITE{Amer}{%
		Hirsch:1992:ERS%
		}.
\NAMECITE{Among}{%
		Parlett:1976:RAE,%
		Parlett:1988:HMS,%
		Parlett:1992:RMS%
		}.
\NAMECITE{AMS}{%
		Renegar:1996:MNA%
		}.
\NAMECITE{Analysis}{%
		Kahan:1974:ALA,%
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		Parlett:1974:BRH,%
		Parlett:1978:PNA,%
		Parlett:1990:CJH,%
		Schulman:2017:ACM,%
		Watson:1982:NAP,%
		Bathe:1977:FCA,%
		Gao:1990:NCA,%
		Natori:1994:MAP,%
		Parlett:1977:PNA,%
		Parlett:1979:BRH,%
		Parlett:1981:PNA,%
		Parlett:1987:CJH,%
		Renegar:1996:MNA,%
		Shub:1996:PDD,%
		Watson:1996:NA%
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\NAMECITE{Analytic}{%
		Parlett:1981:ACT%
		}.
\NAMECITE{anyone}{%
		Parlett:1967:EA%
		}.
\NAMECITE{Application}{%
		Parlett:1997:FSW%
		}.
\NAMECITE{Applications}{%
		Moonen:1993:LAL,%
		Parlett:1962:BML,%
		Numrich:1985:SA,%
		Schreiber:1986:BRC,%
		Parlett:1974:BRB%
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\NAMECITE{Applied}{%
		Glowinski:1984:CMA,%
		Lewis:1994:ALA,%
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		Glowinski:1982:CMA,%
		Glowinski:1986:CMA%
		}.
\NAMECITE{approaches}{%
		Parlett:1996:FRP%
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\NAMECITE{Approximate}{%
		Kahan:1982:RBA,%
		Paige:1993:ASEa,%
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		}.
\NAMECITE{Approximation}{%
		Buhmann:1997:ATO%
		}.
\NAMECITE{Argonne}{%
		Bunch:1976:SMC%
		}.
\NAMECITE{art}{%
		Parlett:1987:SAE%
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\NAMECITE{Assigned}{%
		Kandic:1997:ECH%
		}.
\NAMECITE{augmented}{%
		Bai:2005:GSO%
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\NAMECITE{August}{%
		Moonen:1993:LAL,%
		Morrell:1969:IPP,%
		Renegar:1996:MNA%
		}.
\NAMECITE{automated}{%
		Arden:1980:WCA%
		}.
\NAMECITE{Automatic}{%
		Partlett:1972:BRB%
		}.


\NAMECITE{B}{%
		Hirsch:1992:ERS,%
		Parlett:1981:BRBb%
		}.
\NAMECITE{backward}{%
		Wang:2020:KPJ%
		}.
\NAMECITE{Balancing}{%
		Parlett:1969:BMC%
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\NAMECITE{Based}{%
		Parlett:1992:SBI,%
		Traub:1992:PIB,%
		Hirsch:1992:ERS,%
		Koikari:2009:ABS,%
		Parlett:1989:SBI%
		}.
\NAMECITE{Basic}{%
		Parlett:1968:GCB,%
		Parlett:1992:SBI,%
		Hirsch:1992:ERS,%
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		}.
\NAMECITE{be}{%
		Arden:1980:WCA,%
		Parlett:1972:CTM%
		}.
\NAMECITE{Behandlung}{%
		Albrecht:1991:NTE%
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		Moonen:1993:LAL%
		}.
\NAMECITE{{Beresford}}{%
		Bunch:1995:EDB%
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		Parlett:1979:BRH%
		}.
\NAMECITE{bidiagonal}{%
		Parlett:2005:BMD%
		}.
\NAMECITE{bidiagonals}{%
		Parlett:1997:NVP,%
		Parlett:1998:SSP%
		}.
\NAMECITE{Biennial}{%
		Watson:1982:NAP%
		}.
\NAMECITE{Bisectors}{%
		Parlett:1971:AAR%
		}.
\NAMECITE{black}{%
		Parlett:1989:TBB%
		}.
\NAMECITE{Block}{%
		Parlett:1987:BRT,%
		Schreiber:1986:BRC,%
		Schreiber:1988:BRT,%
		Koikari:2009:ABS%
		}.
\NAMECITE{blocks}{%
		Parlett:1977:PSD,%
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\NAMECITE{Book}{%
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		Parlett:1974:BRH,%
		Parlett:1979:BRH,%
		Parlett:1981:BRBa,%
		Parlett:1981:BRBb,%
		Parlett:2010:BRB,%
		Partlett:1972:BRB%
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\NAMECITE{Bound}{%
		Parlett:1985:URE,%
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		}.
\NAMECITE{Bounds}{%
		Kahan:1982:RBA,%
		Paige:1993:ASEa,%
		Paige:1995:ASE%
		}.
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\NAMECITE{Bunch}{%
		Parlett:1981:BRBb%
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\NAMECITE{Bundles}{%
		Parlett:1962:BML%
		}.


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		Parlett:1981:BRBb,%
		Partlett:1972:BRB%
		}.
\NAMECITE{CA}{%
		Bailey:1995:PSS%
		}.
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		Parlett:1973:PGM%
		}.
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		Parlett:1969:BMC,%
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		Parlett:1991:IMR,%
		Parlett:1992:MMR,%
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		}.
\NAMECITE{Calculator}{%
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		Buhmann:1997:ATO%
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		Kahan:1977:CYC,%
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		Parlett:1972:CTM,%
		Parlett:2004:HMA,%
		Arden:1980:WCA%
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\NAMECITE{Canonical}{%
		Parlett:1967:CDH%
		}.
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		Brown:1994:PCL%
		}.
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		Parlett:2000:IAP,%
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		}.
\NAMECITE{Centenary}{%
		Brown:1994:PCL%
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		Greville:1972:PDP%
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		}.
\NAMECITE{Certification}{%
		Varah:1966:CPA%
		}.
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		Glowinski:1988:FIS%
		}.
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		Parlett:1983:SPS%
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		Natvig:1986:ECC%
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		Edelman:1995:PMN,%
		Fernando:1993:ICA,%
		Fernando:1995:ICA,%
		Gao:1988:CCS,%
		Gao:1990:NCA%
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\NAMECITE{{Circle}}{%
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		}.
\NAMECITE{circulants}{%
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		Schulman:2017:ACM%
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		Parlett:1996:IST%
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		Parlett:2004:HMA,%
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\NAMECITE{{cm.}}{%
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		Gao:1988:CCS,%
		Gao:1990:NCA%
		}.
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		Nour-Omid:1988:CLC,%
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		}.
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		Hirsch:1992:ERS,%
		Parlett:1981:ACT,%
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\NAMECITE{Computation}{%
		Crane:1987:HAC,%
		Gear:1979:NCR,%
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		Partlett:1972:BRB,%
		Reichel:1993:NLA,%
		Schreiber:1986:BRC,%
		Schreiber:1988:BRT,%
		Cox:1990:RNC,%
		McCurdy:1983:ACD,%
		Parlett:1986:ACM,%
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		Rice:1979:NCN,%
		Shub:1996:PDD,%
		Parlett:2009:RFM%
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		Bathe:1977:FCA%
		}.
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		Bunch:1976:SMC,%
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		Parlett:1987:JHW%
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		Dhillon:2004:MRC,%
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		}.
\NAMECITE{Computers}{%
		Parlett:1985:ILA,%
		Ralston:1967:MMD%
		}.
\NAMECITE{Computing}{%
		Bailey:1995:PSS,%
		Berry:1994:CES,%
		Chan:1977:APC,%
		Glowinski:1982:CMA,%
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		Glowinski:1986:CMA,%
		Nash:1990:HSC,%
		Chan:1975:PCC,%
		Davies:2003:SPA,%
		Natori:1994:MAP,%
		Parlett:1984:ECM,%
		Parlett:1988:UII,%
		Parlett:1990:UIP,%
		Rust:1966:SAC,%
		Glowinski:1982:CMA,%
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\NAMECITE{Condition}{%
		Chan:1977:APC,%
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		Bailey:1995:PSS,%
		Brown:1994:PCL,%
		Crane:1987:HAC,%
		Lewis:1994:ALA,%
		Reichel:1993:NLA,%
		Watson:1982:NAP,%
		Buhmann:1997:ATO%
		}.
\NAMECITE{Congr{\`e}s}{%
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\NAMECITE{Congress}{%
		Absi:1980:NME,%
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\NAMECITE{Conjugate}{%
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		Liesen:2008:NSP,%
		Parlett:1987:CLC%
		}.
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		Kandic:1997:ECH,%
		Parlett:1996:COE%
		}.
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		}.
\NAMECITE{converge}{%
		Parlett:1991:QFI%
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\NAMECITE{Convergence}{%
		Ferreira:2009:CAO,%
		Parlett:1965:CA,%
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		Parlett:1968:GCB,%
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		Buchanan:1966:UCM,%
		Hoffman:1977:NPG,%
		Hoffmann:1978:NPG,%
		Parlett:1969:CPA,%
		Parlett:1967:CCA%
		}.
\NAMECITE{Cornelius}{%
		Brown:1994:PCL%
		}.
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		Parlett:1967:CCA%
		}.
\NAMECITE{{COSERS}}{%
		Arden:1980:WCA%
		}.
\NAMECITE{Cost}{%
		Parlett:1975:ICC,%
		Gao:1988:CCS,%
		Parlett:1977:ICC%
		}.
\NAMECITE{Count}{%
		Kahan:1977:CYC,%
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		}.
\NAMECITE{{CYBER}}{%
		Natvig:1986:ECC,%
		Parlett:1984:ECM%
		}.


\NAMECITE{D}{%
		Buhmann:1997:ATO,%
		Parlett:1991:IMR,%
		Parlett:1992:MMR,%
		Parlett:1994:MMR,%
		Zheng:2005:TLT,%
		Zheng:2005:TST%
		}.
\NAMECITE{damped}{%
		Parlett:1988:UII,%
		Parlett:1990:UIP%
		}.
\NAMECITE{dans}{%
		Absi:1980:NME%
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\NAMECITE{December}{%
		Brown:1994:PCL,%
		Glowinski:1982:CMA,%
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		Glowinski:1986:CMA%
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\NAMECITE{Decomposition}{%
		Bunch:1976:DSM,%
		Glowinski:1988:FIS,%
		Parlett:1967:CDH,%
		Edelman:1995:PMN%
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		Bunch:1995:EDB%
		}.
\NAMECITE{Dedication}{%
		Golub:1991:DJW%
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		Dhillon:2004:DIM,%
		Dhillon:2006:DIM%
		}.
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		Parlett:2008:RDE%
		}.
\NAMECITE{Detecting}{%
		Vomel:2011:DLI%
		}.
\NAMECITE{determinant}{%
		Parlett:2002:MDD%
		}.
\NAMECITE{determines}{%
		Parlett:2005:BMD%
		}.
\NAMECITE{Development}{%
		Parlett:1964:DUM,%
		Parlett:1985:DAA%
		}.
\NAMECITE{Diagonal}{%
		Berman:1981:DSO,%
		Parlett:1977:PSD,%
		Parlett:1987:PSD,%
		Parlett:2003:SDF%
		}.
\NAMECITE{diameter}{%
		Parlett:2003:SDF%
		}.
\NAMECITE{difference}{%
		Parlett:1966:ADD%
		}.
\NAMECITE{Differences}{%
		McCurdy:1984:ACD,%
		McCurdy:1983:ACD%
		}.
\NAMECITE{Differential}{%
		Fernando:1992:ASVa,%
		Fernando:1993:DA,%
		Glowinski:1988:FIS,%
		Fernando:1992:ASVb,%
		Fernando:1993:ASVc,%
		Fernando:1994:ASV,%
		Parlett:1994:PDQ,%
		Parlett:1994:SVD,%
		Parlett:1995:SVD%
		}.
\NAMECITE{Digital}{%
		Ralston:1967:MMD%
		}.
\NAMECITE{Direct}{%
		Bunch:1971:DMS%
		}.
\NAMECITE{directions}{%
		Rice:1979:NCN%
		}.
\NAMECITE{discovered}{%
		Gutknecht:2011:HWA%
		}.
\NAMECITE{Discriminant}{%
		Zheng:2005:TLT,%
		Parlett:2002:MDD%
		}.
\NAMECITE{discussion}{%
		Parlett:1969:CPA,%
		Shub:1996:PDD%
		}.
\NAMECITE{dissipation}{%
		Parlett:1966:ADD%
		}.
\NAMECITE{Divided}{%
		McCurdy:1984:ACD,%
		McCurdy:1983:ACD%
		}.
\NAMECITE{Do}{%
		Parlett:1994:DWF%
		}.
\NAMECITE{{Does}}{%
		Shub:1996:PDD%
		}.
\NAMECITE{Domain}{%
		Glowinski:1988:FIS%
		}.
\NAMECITE{Donald}{%
		Parlett:1974:BRB%
		}.
\NAMECITE{Dongarra}{%
		Parlett:1981:BRBb%
		}.
\NAMECITE{Double}{%
		Parlett:1997:FSW%
		}.
\NAMECITE{Doubly}{%
		Parlett:1982:MSD,%
		Parlett:1981:MSD%
		}.
\NAMECITE{dqds}{%
		Ferreira:2022:RTD,%
		Li:2014:IDA%
		}.
\NAMECITE{Dundee}{%
		Watson:1982:NAP%
		}.
\NAMECITE{dynamics}{%
		Greville:1972:PDP%
		}.


\NAMECITE{Ecole}{%
		Glowinski:1988:FIS%
		}.
\NAMECITE{ed}{%
		Parlett:1974:BRB%
		}.
\NAMECITE{Edinburgh}{%
		Morrell:1969:IPP%
		}.
\NAMECITE{Editor}{%
		Parlett:1967:LEF%
		}.
\NAMECITE{Editorial}{%
		Bunch:1995:EDB%
		}.
\NAMECITE{{Editors}}{%
		Hirsch:1992:ERS%
		}.
\NAMECITE{Effect}{%
		Natvig:1986:ECC,%
		Parlett:1984:ECM%
		}.
\NAMECITE{Efroymson}{%
		Parlett:1981:BRBa%
		}.
\NAMECITE{eigenpair}{%
		Marques:2006:CES%
		}.
\NAMECITE{Eigenpairs}{%
		Ferreira:2020:EWM,%
		Parlett:2003:PEF%
		}.
\NAMECITE{Eigenproblems}{%
		Parlett:1981:TPL,%
		Parlett:1984:LAL%
		}.
\NAMECITE{Eigensolvers}{%
		Demmel:2007:PAL,%
		Demmel:2007:TIL,%
		Demmel:2008:PAL,%
		Marques:2009:ATI%
		}.
\NAMECITE{Eigensystems}{%
		Kahan:1982:RBA%
		}.
\NAMECITE{Eigenvalue}{%
		Barlow:2000:PIW,%
		Cullum:1985:LAL,%
		Forsythe:1964:TPA,%
		Parlett:1964:LMA,%
		Parlett:1965:MEP,%
		Parlett:1966:BRB,%
		Parlett:1980:SEP,%
		Parlett:1981:BRBa,%
		Parlett:1982:ELE,%
		Parlett:1998:SEP,%
		Parlett:2002:LEP,%
		Parlett:2004:HMA,%
		Varah:1966:CPA,%
		Albrecht:1991:NTE,%
		Barlow:2000:ASE,%
		Barlow:2003:SIA,%
		Barlow:2006:PSI,%
		Ferreira:2022:RTD,%
		Natvig:1986:ECC,%
		Nour-Omid:1980:LVS,%
		Nour-Omid:1983:LVS,%
		Paige:1993:ASEa,%
		Paige:1995:ASE,%
		Parlett:1962:BML,%
		Parlett:1983:SPS,%
		Parlett:1992:MES,%
		Parlett:2010:BRB%
		}.
\NAMECITE{Eigenvalues}{%
		Chan:1977:APC,%
		Parlett:1967:EA,%
		Parlett:1984:SSE,%
		Parlett:1985:URE,%
		Chan:1975:PCC,%
		Ferreira:2012:SEU,%
		Parlett:1967:LEF,%
		Parlett:1969:BMC,%
		Parlett:1973:PGM,%
		Parlett:1982:AUE,%
		Parlett:1983:SSE,%
		Parlett:1983:URE,%
		Parlett:1987:SAE,%
		Parlett:1996:IST%
		}.
\NAMECITE{Eigenvector}{%
		Parlett:1983:EMS,%
		Parlett:1984:EMS,%
		Parlett:2016:IEP%
		}.
\NAMECITE{Eigenvectors}{%
		Chan:1977:APC,%
		Dhillon:2002:OER,%
		Dhillon:2003:OER,%
		Dhillon:2004:OER,%
		Chan:1975:PCC,%
		Dhillon:2004:MRC,%
		Parlett:1969:BMC,%
		Parlett:1987:SAE,%
		Parlett:1996:COE,%
		Parlett:1996:OEG%
		}.
\NAMECITE{Eigenwertaufgaben}{%
		Albrecht:1991:NTE%
		}.
\NAMECITE{Element}{%
		Nour-Omid:1985:EPU,%
		Nour-Omid:1988:CLC,%
		Parlett:1982:EP,%
		Bathe:1977:FCA,%
		Li:1982:FSF,%
		Nour-Omid:1983:NLM,%
		Parlett:1976:RES,%
		Parlett:1977:RES,%
		Parlett:1981:FSF,%
		Parlett:1987:CLC%
		}.
\NAMECITE{Elements}{%
		Parlett:1976:RAE%
		}.
\NAMECITE{Engineering}{%
		Glowinski:1984:CMA,%
		Absi:1980:NME,%
		Arden:1980:WCA,%
		Glowinski:1982:CMA,%
		Glowinski:1986:CMA%
		}.
\NAMECITE{Englewood}{%
		Parlett:1974:BRH%
		}.
\NAMECITE{enlighten}{%
		Parlett:2008:RDE%
		}.
\NAMECITE{entertain}{%
		Parlett:2008:RDE%
		}.
\NAMECITE{entries}{%
		Parlett:2003:SDF%
		}.
\NAMECITE{equation}{%
		Fernando:1995:WFM%
		}.
\NAMECITE{Equations}{%
		Bunch:1971:DMS,%
		Glowinski:1988:FIS,%
		Morzfeld:2011:TSO,%
		Parlett:1970:SSL,%
		Parlett:1974:BRB,%
		Nour-Omid:1983:NLM,%
		Parlett:1980:NLL%
		}.
\NAMECITE{Ergodic}{%
		Parlett:1970:EPP%
		}.
\NAMECITE{Error}{%
		Parlett:1985:URE,%
		Parlett:1976:RES,%
		Parlett:1977:RES,%
		Parlett:1983:URE,%
		Wang:2020:KPJ%
		}.
\NAMECITE{estimate}{%
		Koikari:2009:ABS%
		}.
\NAMECITE{Estimating}{%
		Parlett:1982:ELE%
		}.
\NAMECITE{Explicit}{%
		Kandic:1997:ECH%
		}.
\NAMECITE{Exponential}{%
		McCurdy:1984:ACD,%
		McCurdy:1983:ACD,%
		Parlett:1986:ACM%
		}.
\NAMECITE{extracting}{%
		Parlett:1987:SAE%
		}.
\NAMECITE{Extraction}{%
		Parlett:1984:SSE,%
		Parlett:1983:SSE%
		}.
\NAMECITE{Extremal}{%
		Berry:1994:CES%
		}.


\NAMECITE{F}{%
		Hirsch:1992:ERS%
		}.
\NAMECITE{{F2}}{%
		Chan:1977:APC%
		}.
\NAMECITE{factored}{%
		Parlett:2003:PEF%
		}.
\NAMECITE{Factorization}{%
		Parlett:1975:ICC,%
		Parlett:1997:FSW,%
		Zheng:2005:TLT,%
		Gao:1988:CCS,%
		Gao:1990:NCA,%
		Parlett:1977:ICC%
		}.
\NAMECITE{Fail}{%
		Parlett:2004:HMA%
		}.
\NAMECITE{failure}{%
		Parlett:1991:QFI%
		}.
\NAMECITE{far}{%
		Kahan:1976:HFS,%
		Kahan:1978:HFS%
		}.
\NAMECITE{Fast}{%
		Li:1982:FSF,%
		Parlett:1981:FSF%
		}.
\NAMECITE{Februar}{%
		Albrecht:1991:NTE%
		}.
\NAMECITE{February}{%
		Albrecht:1991:NTE,%
		Bailey:1995:PSS%
		}.
\NAMECITE{Federation}{%
		Morrell:1969:IPP%
		}.
\NAMECITE{{Fernando}}{%
		Parlett:1997:FSW%
		}.
\NAMECITE{Fields}{%
		Zheng:2005:TLT,%
		Zheng:2005:TST%
		}.
\NAMECITE{Fifth}{%
		Glowinski:1982:CMA,%
		Lewis:1994:ALA%
		}.
\NAMECITE{Fill}{%
		Li:1982:FSF,%
		Parlett:1981:FSF%
		}.
\NAMECITE{Fill-in}{%
		Li:1982:FSF,%
		Parlett:1981:FSF%
		}.
\NAMECITE{find}{%
		Fernando:1995:WFM%
		}.
\NAMECITE{finding}{%
		Parlett:1967:LEF%
		}.
\NAMECITE{Finite}{%
		Li:1982:FSF,%
		Bathe:1977:FCA,%
		Nour-Omid:1983:NLM,%
		Parlett:1976:RES,%
		Parlett:1977:RES,%
		Parlett:1981:FSF%
		}.
\NAMECITE{Finite-element}{%
		Li:1982:FSF%
		}.
\NAMECITE{First}{%
		Glowinski:1988:FIS,%
		Glowinski:1988:FIS%
		}.
\NAMECITE{Form}{%
		Parlett:1975:PCR,%
		Parlett:1982:MSD,%
		Parlett:1992:RTF,%
		Parlett:1969:NNM,%
		Parlett:1981:MSD,%
		Parlett:1990:RTF%
		}.
\NAMECITE{{Formulations}}{%
		Bathe:1977:FCA%
		}.
\NAMECITE{Forward}{%
		Parlett:1993:FIT,%
		Le:1988:FIT,%
		Parlett:1991:QFI%
		}.
\NAMECITE{{Fourier}}{%
		Parlett:1982:WFT%
		}.
\NAMECITE{France}{%
		Glowinski:1982:CMA,%
		Glowinski:1984:CMA,%
		Glowinski:1986:CMA,%
		Glowinski:1988:FIS%
		}.
\NAMECITE{Francisco}{%
		Bailey:1995:PSS%
		}.
\NAMECITE{Free}{%
		Li:1982:FSF,%
		Parlett:1981:FSF%
		}.
\NAMECITE{{French}}{%
		Parlett:1973:PGM%
		}.
\NAMECITE{frequencies}{%
		Parlett:1984:ECM%
		}.
\NAMECITE{Frequency}{%
		Parlett:1996:FRP%
		}.
\NAMECITE{Fully}{%
		Parlett:1994:DWF%
		}.
\NAMECITE{Function}{%
		McCurdy:1984:ACD,%
		McCurdy:1983:ACD,%
		Parlett:1972:CTM,%
		Parlett:2003:SDF%
		}.
\NAMECITE{Functions}{%
		Parlett:1974:CFT,%
		Parlett:1976:RAE,%
		Parlett:2009:RFM,%
		Bakkaloglu:1997:PPA,%
		Davies:2003:SPA,%
		Koikari:2009:ABS%
		}.
\NAMECITE{Future}{%
		Gear:1979:NCR,%
		Gear:1980:NCR%
		}.


\NAMECITE{G}{%
		Parlett:1981:BRBa,%
		Parlett:1981:BRBb%
		}.
\NAMECITE{Gaps}{%
		Dhillon:2002:OER,%
		Dhillon:2003:OER,%
		Dhillon:2004:OER%
		}.
\NAMECITE{general}{%
		Parlett:2010:BRB%
		}.
\NAMECITE{Generalizations}{%
		Parlett:1974:RQI%
		}.
\NAMECITE{generalized}{%
		Bai:2005:GSO,%
		Rust:1966:SAC%
		}.
\NAMECITE{Geometric}{%
		Parlett:1973:GTP,%
		Parlett:1973:PGM%
		}.
\NAMECITE{g{\'e}om{\'e}trique}{%
		Parlett:1973:PGM%
		}.
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		}.
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		Bathe:1977:FCA%
		}.
\NAMECITE{{Gersgorin}}{%
		Parlett:2009:RCG%
		}.
\NAMECITE{{Givens}}{%
		Golub:1991:DJW%
		}.
\NAMECITE{Global}{%
		Parlett:1968:GCB,%
		Parlett:1978:NPG,%
		Hoffman:1977:NPG,%
		Hoffmann:1978:NPG%
		}.
\NAMECITE{globally}{%
		Wang:2020:KPJ%
		}.
\NAMECITE{Glued}{%
		Dhillon:2005:GMM,%
		Parlett:2009:SGM%
		}.
\NAMECITE{go}{%
		Kahan:1976:HFS,%
		Kahan:1978:HFS%
		}.
\NAMECITE{Goldstine}{%
		Parlett:1979:BRH%
		}.
\NAMECITE{GR}{%
		Parlett:2010:BRB%
		}.
\NAMECITE{Gradient}{%
		Nour-Omid:1988:CLC,%
		Liesen:2008:NSP,%
		Parlett:1987:CLC%
		}.
\NAMECITE{{Gram}}{%
		Parlett:1996:OEG%
		}.
\NAMECITE{growing}{%
		Parlett:1982:AUE%
		}.
\NAMECITE{{{Guide}}}{%
		Parlett:1981:BRBb%
		}.


\NAMECITE{H}{%
		Hirsch:1992:ERS,%
		Parlett:1966:BRB,%
		Parlett:1974:BRH,%
		Parlett:1979:BRH,%
		Parlett:1987:CJH,%
		Parlett:1987:JHW,%
		Parlett:1990:CJH,%
		Partlett:1972:BRB%
		}.
\NAMECITE{{H.}}{%
		Parlett:1974:BRH%
		}.
\NAMECITE{{Hadamard}}{%
		Parlett:1996:WHM,%
		Parlett:2007:WHM%
		}.
\NAMECITE{Hall}{%
		Parlett:1974:BRH%
		}.
\NAMECITE{{{{Handbook}}}}{%
		Partlett:1972:BRB%
		}.
\NAMECITE{Heidelberg}{%
		Parlett:1979:BRH%
		}.
\NAMECITE{held}{%
		Watson:1982:NAP%
		}.
\NAMECITE{{Herman}}{%
		Parlett:1979:BRH%
		}.
\NAMECITE{Hertelendy}{%
		Parlett:1974:BRH%
		}.
\NAMECITE{{Hessenberg}}{%
		Parlett:1966:CQR,%
		Parlett:1967:CDH,%
		Parlett:1968:GCB,%
		Parlett:1973:NHM%
		}.
\NAMECITE{{Hessian}}{%
		Zheng:2005:TLT%
		}.
\NAMECITE{Higham}{%
		Parlett:2009:RFM%
		}.
\NAMECITE{History}{%
		Crane:1987:HAC,%
		Nash:1990:HSC,%
		Parlett:1979:BRH%
		}.
\NAMECITE{{HSNC'87}}{%
		Crane:1987:HAC%
		}.
\NAMECITE{hyperbolic}{%
		Parlett:2005:BMD%
		}.
\NAMECITE{hypercube}{%
		Gao:1988:CCS,%
		Gao:1990:NCA%
		}.
\NAMECITE{Hyperdominant}{%
		Kandic:1997:ECH%
		}.


\NAMECITE{IFIP}{%
		Morrell:1969:IPP%
		}.
\NAMECITE{Ihren}{%
		Kahan:1978:KSI%
		}.
\NAMECITE{II}{%
		Partlett:1972:BRB,%
		Parlett:1962:BML%
		}.
\NAMECITE{Implement}{%
		Nour-Omid:1987:HIS,%
		Nour-Omid:1984:HIS%
		}.
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		Dhillon:2004:DIM,%
		Parlett:1985:ILA,%
		Parlett:1991:IMR,%
		Dhillon:2006:DIM,%
		Parlett:2000:IAP,%
		Parlett:2002:IDA%
		}.
\NAMECITE{Implicit}{%
		Fernando:1993:ICA,%
		Fernando:1995:ICA,%
		Parlett:1977:LAI%
		}.
\NAMECITE{Improved}{%
		Li:2014:IDA%
		}.
\NAMECITE{Indefinite}{%
		Bunch:1971:DMS,%
		Parlett:1988:UII,%
		Parlett:1990:LAI,%
		Parlett:1990:UIP%
		}.
\NAMECITE{independence}{%
		Parlett:1962:BML%
		}.
\NAMECITE{Independent}{%
		Morzfeld:2011:TSO%
		}.
\NAMECITE{inequality}{%
		Edelman:1995:PMN%
		}.
\NAMECITE{Influence}{%
		Parlett:1975:ICC,%
		Parlett:1977:ICC,%
		Parlett:1987:JHW%
		}.
\NAMECITE{Information}{%
		Morrell:1969:IPP,%
		Parlett:1992:SBI,%
		Traub:1992:PIB,%
		Hirsch:1992:ERS,%
		Parlett:1989:SBI,%
		Morrell:1969:IPP%
		}.
\NAMECITE{Information-Based}{%
		Parlett:1992:SBI,%
		Traub:1992:PIB,%
		Hirsch:1992:ERS,%
		Parlett:1989:SBI%
		}.
\NAMECITE{Infrastructure}{%
		Demmel:2007:TIL,%
		Marques:2009:ATI%
		}.
\NAMECITE{ing{\'e}nieur}{%
		Absi:1980:NME%
		}.
\NAMECITE{inner}{%
		Parlett:1988:UII,%
		Parlett:1990:LAI%
		}.
\NAMECITE{Instability}{%
		Parlett:1993:FIT,%
		Le:1988:FIT,%
		Parlett:1991:QFI%
		}.
\NAMECITE{Institute}{%
		Moonen:1993:LAL%
		}.
\NAMECITE{Interlacing}{%
		Hill:1992:RIP,%
		Hill:1991:RIP%
		}.
\NAMECITE{International}{%
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		Barlow:2000:PIW,%
		Brown:1994:PCL,%
		Glowinski:1982:CMA,%
		Glowinski:1984:CMA,%
		Glowinski:1986:CMA,%
		Glowinski:1988:FIS,%
		Kaashoek:1990:PIS,%
		Morrell:1969:IPP,%
		Absi:1980:NME%
		}.
\NAMECITE{Invariant}{%
		Parlett:1966:SIM,%
		Parlett:1996:IST,%
		Vomel:2011:DLI,%
		Wang:2020:KPJ%
		}.
\NAMECITE{Inverse}{%
		Parlett:2016:IEP,%
		Koikari:2009:ABS,%
		Rust:1966:SAC%
		}.
\NAMECITE{Invert}{%
		Parlett:1987:CSI,%
		Parlett:1985:CSI%
		}.
\NAMECITE{{Ising}}{%
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		Parlett:1992:MMR,%
		Parlett:1994:MMR%
		}.
\NAMECITE{issue}{%
		Barlow:2003:SIA,%
		Barlow:2006:PSI%
		}.
\NAMECITE{Iteration}{%
		Parlett:1974:RQI,%
		Nour-Omid:1980:LVS,%
		Nour-Omid:1983:LVS%
		}.
\NAMECITE{Iterations}{%
		Parlett:1973:GTP,%
		Liesen:2008:NSP%
		}.


\NAMECITE{J}{%
		Buhmann:1997:ATO,%
		Hirsch:1992:ERS,%
		Parlett:1966:BRB,%
		Parlett:1974:BRB,%
		Parlett:1974:BRH,%
		Parlett:1981:BRBb,%
		Parlett:2009:RFM,%
		Partlett:1972:BRB%
		}.
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		Golub:1991:DJW,%
		Parlett:1987:CJH,%
		Parlett:1987:JHW,%
		Parlett:1990:CJH%
		}.
\NAMECITE{January}{%
		Glowinski:1988:FIS%
		}.
\NAMECITE{Jersey}{%
		Crane:1987:HAC%
		}.
\NAMECITE{{Jiang}}{%
		Wang:2020:KPJ%
		}.
\NAMECITE{July}{%
		Buhmann:1997:ATO,%
		Renegar:1996:MNA%
		}.
\NAMECITE{June}{%
		Greville:1972:PDP,%
		Lewis:1994:ALA,%
		Watson:1982:NAP%
		}.


\NAMECITE{{Kahan}}{%
		Bunch:1995:EDB,%
		Wang:2020:KPJ%
		}.
\NAMECITE{Kent}{%
		Reichel:1993:NLA%
		}.
\NAMECITE{{K{\"o}nnen}}{%
		Kahan:1978:KSI%
		}.
\NAMECITE{{Kostant}}{%
		Shomron:2009:LAM%
		}.
\NAMECITE{Krylov}{%
		Parlett:2010:BRB,%
		Paige:1993:ASEa,%
		Paige:1995:ASE%
		}.


\NAMECITE{Laboratory}{%
		Bunch:1976:SMC%
		}.
\NAMECITE{{Laguerre}}{%
		Parlett:1962:BML,%
		Parlett:1964:LMA%
		}.
\NAMECITE{Lanczos}{%
		Brown:1994:PCL,%
		Cullum:1985:LAL,%
		Kahan:1974:ALA,%
		Kahan:1976:HFS,%
		Kahan:1978:HFS,%
		Nour-Omid:1980:LVS,%
		Nour-Omid:1983:LVS,%
		Nour-Omid:1983:NLM,%
		Nour-Omid:1988:CLC,%
		Parlett:1977:LAI,%
		Parlett:1980:NLL,%
		Parlett:1981:LAL,%
		Parlett:1981:TPL,%
		Parlett:1982:TMS,%
		Parlett:1985:ILA,%
		Parlett:1987:CLC,%
		Parlett:1987:MLA,%
		Parlett:1988:HMS,%
		Parlett:1989:TBB,%
		Parlett:1990:LAI,%
		Parlett:1990:MLA,%
		Parlett:1992:RMS,%
		Parlett:1994:DWF,%
		Parlett:1979:LAS,%
		Parlett:1982:ELE,%
		Parlett:1984:LAL,%
		Parlett:1985:LAL%
		}.
\NAMECITE{{LAPACK}}{%
		Demmel:2007:PAL,%
		Demmel:2007:PNL,%
		Demmel:2007:TIL,%
		Demmel:2008:PAL%
		}.
\NAMECITE{Large}{%
		Cullum:1985:LAL,%
		Moonen:1993:LAL,%
		Parlett:1981:TPL,%
		Parlett:1980:HSK,%
		Parlett:1981:HSK,%
		Parlett:1984:LAL,%
		Parlett:1974:BRB%
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\NAMECITE{Largest}{%
		Parlett:1982:ELE,%
		Parlett:2002:LEP%
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\NAMECITE{Letter}{%
		Parlett:1967:LEF%
		}.
\NAMECITE{Leuven}{%
		Moonen:1993:LAL%
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\NAMECITE{Libraries}{%
		Demmel:2007:PNL%
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\NAMECITE{{Lie}}{%
		Shomron:2009:LAM%
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\NAMECITE{Linear}{%
		Bunch:1971:DMS,%
		Lewis:1994:ALA,%
		Morzfeld:2011:TSO,%
		Parlett:1970:SSL,%
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		Partlett:1972:BRB,%
		Shomron:2009:LAM,%
		Wilkinson:1971:LA,%
		Bai:2005:GSO,%
		Parlett:1962:BML,%
		Parlett:1980:NLL,%
		Reichel:1993:NLA,%
		Moonen:1993:LAL%
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\NAMECITE{Lines}{%
		Zheng:2005:TLT%
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\NAMECITE{{{{{LINPACK}}}}}{%
		Parlett:1981:BRBb%
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\NAMECITE{Localization}{%
		Vomel:2011:DLI%
		}.
\NAMECITE{look}{%
		Parlett:1980:NLL,%
		Parlett:1981:LAL,%
		Parlett:1984:LAL,%
		Parlett:1985:LAL%
		}.
\NAMECITE{look-ahead}{%
		Parlett:1981:LAL,%
		Parlett:1985:LAL%
		}.


\NAMECITE{{M.}}{%
		Buhmann:1997:ATO%
		}.
\NAMECITE{Madison}{%
		Greville:1972:PDP%
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\NAMECITE{maintain}{%
		Parlett:1988:HMS%
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\NAMECITE{maintaining}{%
		Parlett:1992:RMS%
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\NAMECITE{March}{%
		Albrecht:1991:NTE,%
		Reichel:1993:NLA%
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\NAMECITE{marriage}{%
		Parlett:1972:CTM%
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\NAMECITE{M{\"a}rz}{%
		Albrecht:1991:NTE%
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\NAMECITE{Math}{%
		Hirsch:1992:ERS%
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\NAMECITE{Mathematical}{%
		Parlett:1975:ICC,%
		Ralston:1967:MMD,%
		Parlett:1977:ICC%
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\NAMECITE{Mathematics}{%
		Buhmann:1997:ATO,%
		Greville:1972:PDP,%
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\NAMECITE{Matrices}{%
		Berry:1994:CES,%
		Dhillon:2005:GMM,%
		Ferreira:2020:EWM,%
		Kahan:1974:ALA,%
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		Kandic:1997:ECH,%
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		Parlett:1974:CFT,%
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		Parlett:1976:RAE,%
		Parlett:1984:SSE,%
		Parlett:1987:CSI,%
		Parlett:2008:MPR,%
		Parlett:2009:RFM,%
		Parlett:2016:IEP,%
		Bakkaloglu:1997:PPA,%
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		Parlett:1983:EMS,%
		Parlett:1983:SSE,%
		Parlett:1984:EMS,%
		Parlett:1985:CSI,%
		Parlett:1985:LAL,%
		Parlett:2003:PEF,%
		Parlett:1974:BRH%
		}.
\NAMECITE{Matrix}{%
		Bunch:1976:DSM,%
		Bunch:1976:SMC,%
		Chan:1977:APC,%
		Natori:1994:MAP,%
		Parlett:1964:LMA,%
		Parlett:1965:MEP,%
		Parlett:1970:SSL,%
		Parlett:1981:BRBa,%
		Parlett:2002:LEP,%
		Schulman:2017:ACM,%
		Berman:1981:DSO,%
		Buchanan:1966:UCM,%
		Chan:1975:PCC,%
		Davies:2003:SPA,%
		Dubrulle:2010:RTM,%
		Edelman:1995:PMN,%
		Ferreira:2009:CAO,%
		Ferreira:2012:SEU,%
		Parlett:1962:BML,%
		Parlett:1969:BMC,%
		Parlett:1975:PCR,%
		Parlett:1982:AUE,%
		Parlett:1986:ACM,%
		Parlett:1987:JHW,%
		Parlett:1991:SMP,%
		Parlett:2002:MDD,%
		Parlett:2005:BMD,%
		Parlett:2006:AOM,%
		Parlett:2009:SGM,%
		Parlett:2010:BRB,%
		Rust:1966:SAC%
		}.
\NAMECITE{May}{%
		Crane:1987:HAC%
		}.
\NAMECITE{mechanics}{%
		Parlett:1987:SAE%
		}.
\NAMECITE{meets}{%
		Shomron:2009:LAM%
		}.
\NAMECITE{Memory}{%
		Berry:1994:CES%
		}.
\NAMECITE{Method}{%
		Parlett:1964:LMA,%
		Natvig:1986:ECC,%
		Nour-Omid:1983:NLM,%
		Parlett:1962:BML,%
		Parlett:1992:MMR,%
		Parlett:1994:MMR%
		}.
\NAMECITE{m{\'e}thodes}{%
		Parlett:1973:PGM,%
		Absi:1980:NME%
		}.
\NAMECITE{Methods}{%
		Bunch:1971:DMS,%
		Glowinski:1984:CMA,%
		Glowinski:1988:FIS,%
		Parlett:1964:DUM,%
		Parlett:1981:MSD,%
		Parlett:1982:MSD,%
		Ralston:1967:MMD,%
		Absi:1980:NME,%
		Bai:2005:GSO,%
		Glowinski:1982:CMA,%
		Glowinski:1986:CMA,%
		Parlett:1973:PGM,%
		Parlett:1983:SPS,%
		Parlett:1984:ECM,%
		Parlett:2010:BRB,%
		Parlett:2010:BRB%
		}.
\NAMECITE{metody}{%
		Parlett:1983:SPS%
		}.
\NAMECITE{Minimal}{%
		Parlett:1992:RTF,%
		Parlett:1990:RTF,%
		Parlett:1991:IMR,%
		Parlett:1992:MMR,%
		Parlett:1994:MMR,%
		Parlett:1997:NMR%
		}.
\NAMECITE{Minimum}{%
		Parlett:1992:MES%
		}.
\NAMECITE{minors}{%
		Parlett:1962:BML%
		}.
\NAMECITE{Misconvergence}{%
		Parlett:1987:MLA,%
		Parlett:1990:MLA%
		}.
\NAMECITE{missed}{%
		Parlett:1996:WHM,%
		Parlett:2007:WHM%
		}.
\NAMECITE{model}{%
		Parlett:1970:EPP,%
		Parlett:1991:IMR,%
		Parlett:1992:MMR,%
		Parlett:1994:MMR,%
		Shub:1996:PDD%
		}.
\NAMECITE{modes}{%
		Parlett:1988:UII,%
		Parlett:1990:UIP%
		}.
\NAMECITE{Moler}{%
		Parlett:1981:BRBb%
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\NAMECITE{moment}{%
		Parlett:1973:NHM%
		}.
\NAMECITE{monitoring}{%
		Parlett:1982:TMS%
		}.
\NAMECITE{most}{%
		Fernando:1995:WFM%
		}.
\NAMECITE{MR1102755}{%
		Hirsch:1992:ERS%
		}.
\NAMECITE{MR1102756}{%
		Hirsch:1992:ERS%
		}.
\NAMECITE{MR2164298}{%
		Parlett:2010:BRB%
		}.
\NAMECITE{MR2383888}{%
		Parlett:2010:BRB%
		}.
\NAMECITE{{MRRR}}{%
		Dhillon:2004:DIM,%
		Dhillon:2005:GMM,%
		Dhillon:2006:DIM,%
		Marques:2005:SCM,%
		Marques:2006:CES,%
		Parlett:2004:HMA%
		}.
\NAMECITE{{MTNS}}{%
		Kaashoek:1990:PIS%
		}.
\NAMECITE{{MTNS-89}}{%
		Kaashoek:1990:PIS%
		}.
\NAMECITE{Multiple}{%
		Dhillon:2004:MRC%
		}.
\NAMECITE{multiplications}{%
		Parlett:1969:NNM%
		}.
\NAMECITE{Multiprocessor}{%
		Berry:1994:CES%
		}.


\NAMECITE{N}{%
		Hirsch:1992:ERS,%
		Parlett:1974:BRH%
		}.
\NAMECITE{N.S}{%
		Hirsch:1992:ERS%
		}.
\NAMECITE{National}{%
		Bunch:1976:SMC%
		}.
\NAMECITE{Nationale}{%
		Glowinski:1988:FIS%
		}.
\NAMECITE{NATO}{%
		Moonen:1993:LAL%
		}.
\NAMECITE{natural}{%
		Parlett:1984:ECM,%
		Parlett:1988:UII,%
		Parlett:1990:UIP%
		}.
\NAMECITE{nature}{%
		Rice:1979:NCN%
		}.
\NAMECITE{Nearly}{%
		Parlett:1997:NMR%
		}.
\NAMECITE{need}{%
		Shub:1996:PDD%
		}.
\NAMECITE{{Newton}}{%
		Nour-Omid:1983:NLM%
		}.
\NAMECITE{Next}{%
		Demmel:2007:PNL%
		}.
\NAMECITE{Nicholas}{%
		Parlett:2009:RFM%
		}.
\NAMECITE{no}{%
		Hirsch:1992:ERS%
		}.
\NAMECITE{nonlinear}{%
		Nour-Omid:1983:NLM%
		}.
\NAMECITE{Nonnormal}{%
		Kahan:1982:RBA,%
		Parlett:1974:RQI%
		}.
\NAMECITE{nonsymmetric}{%
		Ferreira:2022:RTD,%
		Liesen:2008:NSP%
		}.
\NAMECITE{norm}{%
		Edelman:1995:PMN%
		}.
\NAMECITE{Normal}{%
		Parlett:1973:NHM%
		}.
\NAMECITE{North}{%
		Brown:1994:PCL%
		}.
\NAMECITE{Note}{%
		Parlett:1964:NBA,%
		Gao:1990:NCA%
		}.
\NAMECITE{Notes}{%
		Forsythe:1964:TPA,%
		Parlett:1964:NBA,%
		Parlett:1966:SIM,%
		Parlett:1967:CDH,%
		Parlett:1969:NNM,%
		Varah:1966:CPA%
		}.
\NAMECITE{number}{%
		Parlett:1969:NNM%
		}.
\NAMECITE{Numbers}{%
		Chan:1977:APC,%
		Chan:1975:PCC%
		}.
\NAMECITE{Numeric}{%
		Crane:1987:HAC%
		}.
\NAMECITE{Numerica}{%
		Iserles:1995:AN%
		}.
\NAMECITE{Numerical}{%
		Absi:1980:NME,%
		Buhmann:1997:ATO,%
		Gear:1979:NCR,%
		Gear:1980:NCR,%
		Parlett:1978:PNA,%
		Parlett:1983:SPS,%
		Parlett:1990:CJH,%
		Reichel:1993:NLA,%
		Rice:1979:NCN,%
		Watson:1996:NA,%
		Cox:1990:RNC,%
		Parlett:1977:PNA,%
		Parlett:1979:BRH,%
		Parlett:1981:PNA,%
		Parlett:1987:CJH,%
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		Shub:1996:PDD,%
		Albrecht:1991:NTE,%
		Parlett:1974:BRH,%
		Parlett:2010:BRB,%
		Reichel:1993:NLA,%
		Watson:1982:NAP%
		}.
\NAMECITE{num{\'e}riques}{%
		Absi:1980:NME%
		}.
\NAMECITE{Numerische}{%
		Albrecht:1991:NTE%
		}.


\NAMECITE{Oberwolfach}{%
		Albrecht:1991:NTE%
		}.
\NAMECITE{Ohio}{%
		Reichel:1993:NLA%
		}.
\NAMECITE{one}{%
		Ferreira:2009:CAO,%
		Parlett:1970:EPP%
		}.
\NAMECITE{one-point}{%
		Ferreira:2009:CAO%
		}.
\NAMECITE{optimal}{%
		Wang:2020:KPJ%
		}.
\NAMECITE{Optimization}{%
		Buhmann:1997:ATO%
		}.
\NAMECITE{Order}{%
		Morzfeld:2011:TSO,%
		Parlett:1997:NMR%
		}.
\NAMECITE{organized}{%
		Morrell:1969:IPP%
		}.
\NAMECITE{Orthogonal}{%
		Dhillon:2002:OER,%
		Dhillon:2003:OER,%
		Dhillon:2004:OER,%
		Parlett:1996:OEG,%
		Berman:1981:DSO,%
		Dhillon:2004:MRC,%
		Parlett:1996:COE,%
		Parlett:2006:AOM%
		}.
\NAMECITE{orthogonality}{%
		Parlett:1988:HMS,%
		Parlett:1992:RMS%
		}.
\NAMECITE{Orthogonalization}{%
		Parlett:1979:LAS%
		}.
\NAMECITE{overrelaxation}{%
		Bai:2005:GSO%
		}.


\NAMECITE{P}{%
		Parlett:1974:BRH%
		}.
\NAMECITE{PA}{%
		Parlett:2009:RFM%
		}.
\NAMECITE{Panel}{%
		Shub:1996:PDD%
		}.
\NAMECITE{papers}{%
		Crane:1987:HAC,%
		Forsythe:1964:TPA,%
		Parlett:1964:NBA,%
		Parlett:1966:SIM,%
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		Varah:1966:CPA%
		}.
\NAMECITE{Parallel}{%
		Bailey:1995:PSS,%
		Parlett:1994:PDQ,%
		Gao:1990:NCA,%
		Natori:1994:MAP%
		}.
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		Bakkaloglu:1997:PPA%
		}.
\NAMECITE{Paris}{%
		Glowinski:1988:FIS%
		}.
\NAMECITE{Park}{%
		Renegar:1996:MNA%
		}.
\NAMECITE{Parlett}{%
		Hirsch:1992:ERS,%
		Wang:2020:KPJ,%
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		Bunch:1995:EDB,%
		Davies:2003:SPA,%
		Edelman:1995:PMN,%
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		Koikari:2009:ABS,%
		Varah:1966:CPA%
		}.
\NAMECITE{Partial}{%
		Glowinski:1988:FIS%
		}.
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		Parlett:1975:ICC,%
		Parlett:1977:ICC%
		}.
\NAMECITE{Past}{%
		Gear:1979:NCR,%
		Gear:1980:NCR%
		}.
\NAMECITE{pencils}{%
		Parlett:1990:UIP,%
		Parlett:1991:SMP%
		}.
\NAMECITE{Performance}{%
		Demmel:2007:PAL,%
		Demmel:2008:PAL%
		}.
\NAMECITE{Perspectives}{%
		Hirsch:1992:ERS,%
		Traub:1992:PIB%
		}.
\NAMECITE{Perturbation}{%
		Parlett:2003:PEF,%
		Wang:2020:KPJ%
		}.
\NAMECITE{Philadelphia}{%
		Parlett:2009:RFM%
		}.
\NAMECITE{Physical}{%
		Parlett:1979:BRH%
		}.
\NAMECITE{plots}{%
		Parlett:1996:FRP%
		}.
\NAMECITE{point}{%
		Ferreira:2009:CAO,%
		Liesen:2008:NSP%
		}.
\NAMECITE{Ponts}{%
		Glowinski:1988:FIS%
		}.
\NAMECITE{{Population}}{%
		Greville:1972:PDP%
		}.
\NAMECITE{populations}{%
		Parlett:1970:EPP%
		}.
\NAMECITE{Positive}{%
		Parlett:2002:LEP,%
		Parlett:2000:IAP,%
		Parlett:2002:IDA%
		}.
\NAMECITE{{Powell}}{%
		Buhmann:1997:ATO%
		}.
\NAMECITE{Power}{%
		Parlett:1973:GTP%
		}.
\NAMECITE{powers}{%
		Buchanan:1966:UCM%
		}.
\NAMECITE{pp}{%
		Parlett:1974:BRH,%
		Parlett:1979:BRH,%
		Parlett:2009:RFM%
		}.
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		Parlett:1969:CPA%
		}.
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		Nour-Omid:1988:CLC,%
		Schulman:2017:ACM,%
		Nour-Omid:1985:EPU,%
		Parlett:1982:EP,%
		Parlett:1987:CLC%
		}.
\NAMECITE{Preface}{%
		Barlow:2006:PSI%
		}.
\NAMECITE{Prentice}{%
		Parlett:1974:BRH%
		}.
\NAMECITE{Prentice-Hall}{%
		Parlett:1974:BRH%
		}.
\NAMECITE{prescribed}{%
		Parlett:2008:MPR%
		}.
\NAMECITE{Present}{%
		Gear:1979:NCR,%
		Gear:1980:NCR%
		}.
\NAMECITE{Pr{\'e}sentation}{%
		Parlett:1973:PGM,%
		Parlett:1973:PGM%
		}.
\NAMECITE{presented}{%
		Crane:1987:HAC%
		}.
\NAMECITE{Princeton}{%
		Crane:1987:HAC%
		}.
\NAMECITE{Problem}{%
		Parlett:1964:LMA,%
		Parlett:1980:SEP,%
		Parlett:1997:FSW,%
		Parlett:1998:SEP,%
		Parlett:2016:IEP,%
		Ferreira:2022:RTD,%
		Natvig:1986:ECC,%
		Parlett:1962:BML,%
		Parlett:1983:SPS,%
		Parlett:2010:BRB,%
		Parlett:1966:BRB,%
		Parlett:1981:BRBa%
		}.
\NAMECITE{problema}{%
		Parlett:1983:SPS%
		}.
\NAMECITE{Problems}{%
		Li:1982:FSF,%
		Parlett:1965:MEP,%
		Parlett:2000:PSP,%
		Albrecht:1991:NTE,%
		Barlow:2000:ASE,%
		Barlow:2003:SIA,%
		Barlow:2006:PSI,%
		Nour-Omid:1980:LVS,%
		Nour-Omid:1983:LVS,%
		Parlett:1981:FSF,%
		Barlow:2000:PIW,%
		Parlett:2000:PSP,%
		Parlett:2010:BRB%
		}.
\NAMECITE{Procedure}{%
		Forsythe:1964:TPA,%
		Varah:1966:CPA%
		}.
\NAMECITE{Proceedings}{%
		Bunch:1976:SMC,%
		Glowinski:1984:CMA,%
		Glowinski:1988:FIS,%
		Lewis:1994:ALA,%
		Moonen:1993:LAL,%
		Watson:1982:NAP,%
		Crane:1987:HAC,%
		Glowinski:1982:CMA,%
		Glowinski:1986:CMA,%
		Greville:1972:PDP,%
		Morrell:1969:IPP,%
		Reichel:1993:NLA,%
		Bailey:1995:PSS,%
		Barlow:2000:PIW,%
		Brown:1994:PCL,%
		Kaashoek:1990:PIS%
		}.
\NAMECITE{process}{%
		Kahan:1976:HFS,%
		Kahan:1978:HFS%
		}.
\NAMECITE{Processing}{%
		Bailey:1995:PSS,%
		Morrell:1969:IPP%
		}.
\NAMECITE{product}{%
		Parlett:1969:NNM,%
		Parlett:1988:UII,%
		Parlett:1990:LAI%
		}.
\NAMECITE{products}{%
		Parlett:1997:NVP,%
		Parlett:1998:SSP%
		}.
\NAMECITE{Program}{%
		Chan:1977:APC,%
		Chan:1975:PCC,%
		Parlett:1975:PCR,%
		Parlett:1977:PSD,%
		Parlett:1989:TBB%
		}.
\NAMECITE{Programs}{%
		Parlett:1987:PSD%
		}.
\NAMECITE{Progress}{%
		Parlett:1977:PNA,%
		Parlett:1978:PNA,%
		Parlett:1981:PNA,%
		Parlett:1981:TPL%
		}.
\NAMECITE{Proof}{%
		Parlett:1978:NPG,%
		Hoffman:1977:NPG,%
		Hoffmann:1978:NPG%
		}.
\NAMECITE{Properties}{%
		Hill:1992:RIP,%
		Hill:1991:RIP,%
		Parlett:1970:EPP%
		}.
\NAMECITE{propres}{%
		Parlett:1973:PGM%
		}.
\NAMECITE{Prospectus}{%
		Demmel:2007:PNL%
		}.


\NAMECITE{{Q}}{%
		Parlett:1966:CQR%
		}.
\NAMECITE{{Q-R}}{%
		Parlett:1966:CQR%
		}.
\NAMECITE{qd}{%
		Fernando:1992:ASVa,%
		Fernando:1992:ASVb,%
		Fernando:1993:ASVc,%
		Fernando:1993:DA,%
		Fernando:1994:ASV,%
		Gutknecht:2011:HWA,%
		Parlett:1994:PDQ,%
		Parlett:1994:SVD,%
		Parlett:1995:SVD,%
		Parlett:1995:NA%
		}.
\NAMECITE{{QL}}{%
		Hoffman:1977:NPG,%
		Hoffmann:1978:NPG%
		}.
\NAMECITE{{QR}}{%
		Parlett:1968:GCB,%
		Parlett:1991:QFI,%
		Parlett:2002:QA%
		}.
\NAMECITE{Quotient}{%
		Parlett:1974:RQI%
		}.


\NAMECITE{R}{%
		Parlett:1974:BRH,%
		Parlett:1981:BRBb,%
		Parlett:1966:CQR%
		}.
\NAMECITE{Raleigh}{%
		Brown:1994:PCL%
		}.
\NAMECITE{Ralph}{%
		Parlett:1974:BRB%
		}.
\NAMECITE{{Rayleigh}}{%
		Parlett:1974:RQI%
		}.
\NAMECITE{Real}{%
		Moonen:1993:LAL,%
		Parlett:1987:CSI,%
		Parlett:2016:IEP,%
		Ferreira:2022:RTD,%
		Parlett:1967:LEF,%
		Parlett:1975:PCR,%
		Parlett:1985:CSI%
		}.
\NAMECITE{Real-Time}{%
		Moonen:1993:LAL%
		}.
\NAMECITE{Realizations}{%
		Parlett:1992:RTF,%
		Parlett:1990:RTF%
		}.
\NAMECITE{Rechner}{%
		Kahan:1978:KSI%
		}.
\NAMECITE{Recollections}{%
		Parlett:2008:RDE%
		}.
\NAMECITE{Recurrence}{%
		Parlett:1976:RAE%
		}.
\NAMECITE{reduced}{%
		Parlett:1997:NMR%
		}.
\NAMECITE{Reduction}{%
		Parlett:1990:RTF,%
		Parlett:1992:RTF%
		}.
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		}.
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		Reichel:1993:NLA%
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		Watson:1982:NAP%
		}.
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		Morzfeld:2011:TSO%
		}.
\NAMECITE{Second-Order}{%
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		}.
\NAMECITE{Selective}{%
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		}.
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		Parlett:1992:RMS%
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		}.
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		}.
\NAMECITE{Shift}{%
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		}.
\NAMECITE{Short}{%
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		}.
\NAMECITE{sich}{%
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\NAMECITE{sided}{%
		Wang:2020:KPJ%
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\NAMECITE{Simmetrichnaya}{%
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\NAMECITE{simple}{%
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\NAMECITE{Singular}{%
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		Fernando:1992:ASVa,%
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		}.


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		}.
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		}.
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		}.
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		}.
\NAMECITE{Volume}{%
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		}.
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		Parlett:1997:FSW%
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		}.
\NAMECITE{{Wo{\'z}niakowski}}{%
		Hirsch:1992:ERS%
		}.


\NAMECITE{xi}{%
		Parlett:1974:BRH%
		}.
\NAMECITE{xiv}{%
		Parlett:1979:BRH%
		}.
\NAMECITE{xx}{%
		Parlett:2009:RFM%
		}.


\NAMECITE{York}{%
		Parlett:1979:BRH%
		}.


\NAMECITE{znachenii}{%
		Parlett:1983:SPS%
		}.