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\NAMECITE{Libraries}{% Duff:2012:EES,% Anonymous:1989:SPC% }. \NAMECITE{library}{% Duff:1979:SNN,% Duff:2007:SSS,% Duff:1988:EHS,% Duff:1996:CFS,% Duff:1998:CFS% }. \NAMECITE{Linear}{% Amestoy:1992:LACa,% Amestoy:1992:LACb,% Amestoy:1993:LAC,% Amestoy:1995:LAC,% Arioli:1988:SSL,% Arioli:2015:PLL,% Bjorck:1980:DMS,% Blackford:2001:USB,% Blackford:2002:USB,% Carvalho:1995:LAK,% Carvalho:1996:LAK,% Dayde:1997:UCK,% Dongarra:1988:SLB,% Dongarra:1989:PSL,% Dongarra:1990:ASL,% Dongarra:1990:SLB,% Dongarra:1991:SLS,% Dongarra:1998:NLA,% Dongarra:2000:TMH,% Duff:1979:PCC,% Duff:1981:MSU,% Duff:1982:SSLb,% Duff:1982:SSLc,% Duff:1984:SSL,% Duff:1986:PSS,% Duff:1986:UVPa,% Duff:1986:UVPb,% Duff:1991:SSL,% Duff:1995:MFC,% Duff:1995:SLB,% Duff:1996:FSS,% Duff:1997:DML,% Duff:1997:LBL,% Duff:1997:PWD,% Duff:1997:SNL,% Duff:1998:LLB,% Duff:1999:DTPa,% Duff:1999:IHP,% Duff:19xx:SLB,% Duff:2002:OSB,% Lewis:1994:PFS,% Alleon:2003:EPI,% Amestoy:1989:EUP,% Amestoy:1989:UCK,% Amestoy:1989:ULBa,% Amestoy:1989:ULBb,% Amestoy:1991:DPS,% Amestoy:1992:EUP,% Amestoy:1993:PSS,% Amestoy:1994:MPP,% Amestoy:1994:PAS,% Amestoy:1996:MPP,% Arioli:1989:SSL,% Arioli:1990:BCB,% Carpentieri:2001:SSP,% Carpentieri:2002:SSP,% Carpentieri:2004:SSP,% Dayde:1994:PIC,% Dayde:1995:PIC,% Dayde:1996:UCK,% Dongarra:1987:PSLa,% Duff:1976:CSM,% Duff:1977:MSF,% Duff:1979:DSS,% Duff:1979:SCA,% Duff:1980:MSF,% Duff:1980:RDS,% Duff:1982:MSF,% Duff:1982:SSLa,% Duff:1983:MAS,% Duff:1983:MSI,% Duff:1984:DFF,% Duff:1984:DMS,% Duff:1984:MSU,% Duff:1984:SNS,% Duff:1985:CSS,% Duff:1987:EAP,% Duff:1987:IVP,% Duff:1987:ULP,% Duff:1987:UVP,% Duff:1988:CSS,% Duff:1993:MFC,% Duff:1994:MFC,% Duff:1994:RFM,% Duff:1995:EZD,% Duff:1996:DMC,% Duff:1996:EZD,% Duff:1996:RFM,% Duff:1996:SNL,% Duff:1999:BBRa,% Duff:1999:BBRb,% Duff:1999:DTPb,% Duff:2000:IHP,% Duff:2002:PDS,% Duff:2004:PDS,% Duff:2012:CPS,% Reid:1995:DMC,% Spedicato:1991:CAS,% vanderVorst:1990:PAN% }. \NAMECITE{linearly}{% Arioli:1993:CSD% }. \NAMECITE{linearly-constrained}{% Arioli:1993:CSD% }. \NAMECITE{Liu}{% Duff:1984:BRB% }. \NAMECITE{London}{% Anonymous:1989:SPC% }. \NAMECITE{low}{% Duff:2003:USL,% Duff:2005:USL% }. \NAMECITE{{LU}}{% Amestoy:1998:PFL,% Davis:1993:UPM,% Dayde:1988:ULB,% Dayde:1989:LBL,% Dayde:1990:ULB% }. \NAMECITE{Lyngby}{% Dongarra:1994:PSC% }. \NAMECITE{Lyon}{% Bouge:1992:PPC% }. \NAMECITE{{M7}}{% Dongarra:2000:TMH% }. \NAMECITE{{MA27}}{% Duff:1982:MSF% }. \NAMECITE{{MA28}}{% Duff:1977:MSF,% Duff:1980:MSF% }. \NAMECITE{{MA32}}{% Duff:1981:MPSa,% Duff:1981:MPSb,% Duff:1983:EMP% }. \NAMECITE{{MA41}}{% Amestoy:1996:MPP% }. \NAMECITE{{MA42}}{% Duff:1993:MNF% }. \NAMECITE{{MA47}}{% Duff:1994:MFC,% Duff:1995:MFC% }. \NAMECITE{{MA48}}{% Duff:1993:MFC,% Duff:1996:DMC,% Reid:1995:DMC% }. \NAMECITE{{MA57}}{% Duff:2002:MNC,% Duff:2004:MCS% }. \NAMECITE{{MA62}}{% Duff:1997:MFC,% Duff:1999:MFC% }. \NAMECITE{Major}{% Jesshope:1987:MAP% }. \NAMECITE{management}{% Amestoy:1993:MMI% }. \NAMECITE{March}{% Anonymous:1999:PCC,% Delhaye:1989:HPC,% Dongarra:1992:PFS,% JAERI:1990:FIC% }. \NAMECITE{{Markowitz}}{% Davis:2020:DIP% }. \NAMECITE{Massively}{% Amestoy:1998:MMM% }. \NAMECITE{Mathematical}{% Cowell:1984:SDM% }. \NAMECITE{Mathematics}{% Ames:1994:IPI,% Duff:1981:SMT,% Fincham:1993:PCB,% Manley:1990:PTE,% Wyrzykowski:2004:PPA% }. \NAMECITE{Matrices}{% Arioli:1990:UAC,% Arioli:1992:BPM,% Duff:1981:SMT,% Duff:1986:DMS,% Duff:1993:CSE,% Duff:1995:CCS,% Duff:1997:LBL,% Duff:1999:DUA,% Duff:2010:BTF,% Duff:2017:DMS,% Amestoy:1998:PFL,% Arioli:1990:BPM,% Davis:1995:CUM,% Davis:1997:CUM,% Davis:1999:CUM,% Duff:1974:NNA,% Duff:1974:PSR,% Duff:1975:RSM,% Duff:1985:DSA,% Duff:1985:SRIa,% Duff:1985:SRIb,% Duff:1988:PSM,% Duff:1989:DMS,% Duff:1990:FSS,% Duff:1991:CSE,% Duff:1991:FSS,% Duff:1992:CSE,% Duff:1995:SLB,% Duff:1997:DMS,% Duff:1997:DUA,% Duff:1998:LLB,% Duff:19xx:SLB,% Duff:2000:INE,% Duff:2001:INE,% Duff:2002:INE,% Duff:2004:PPB,% Duff:2009:DUS% }. \NAMECITE{Matrix}{% Amestoy:1998:PIP,% Amestoy:1999:PIP,% Amestoy:2012:CIE,% Arioli:2015:PLL,% Dave:1987:SMC,% Duff:1977:SSM,% Duff:1978:ITA,% Duff:1979:SDF,% Duff:1979:SMP,% Duff:1982:ESM,% Duff:1984:SSM,% Duff:1987:MSM,% Duff:1989:SMT,% Duff:1992:UGH,% Duff:1997:RBS,% Duff:1999:MM,% Higham:1990:EFM,% Amestoy:1989:EUP,% Amestoy:1992:EUP,% Amestoy:2008:PMS,% Arbenz:1998:HPA,% Duff:1979:DSS,% Duff:1979:PEC,% Duff:1980:SMT,% Duff:1981:FMT,% Duff:1982:FMT,% Duff:1982:SMS,% Duff:1982:SMT,% Duff:1983:ENW,% Duff:1983:NWI,% Duff:1984:RDS,% Duff:1989:ECM,% Duff:1989:MSM,% Duff:1989:PAS,% Duff:1990:ECM,% Duff:1990:MSM,% Duff:1999:APL,% Duff:2001:APL,% Saad:2000:PTL,% Natori:1994:MAP% }. \NAMECITE{matrix-matrix}{% Amestoy:1989:EUP,% Amestoy:1992:EUP,% Duff:1989:ECM,% Duff:1990:ECM% }. \NAMECITE{Maximum}{% Duff:1981:AOM,% Duff:2011:DIA% }. \NAMECITE{{ME28}}{% Duff:1981:MSU% }. \NAMECITE{mechanics}{% Duff:2011:ATE,% Papadrakakis:1996:ACM,% Papadrakakis:1999:ICM% }. \NAMECITE{Meeting}{% Evans:1989:PCM,% DAlmeida:1995:VPP% }. \NAMECITE{m{\'e}moire}{% Amestoy:1998:PFL% }. \NAMECITE{Memory}{% Amestoy:1993:MMI,% Amestoy:1995:LAC,% Amestoy:2005:TSA,% Chatelin:1987:SVM,% Dongarra:1991:SLS,% Amestoy:1992:LACb,% Amestoy:1993:LAC,% Amestoy:1998:PFL,% Amestoy:2000:ATC,% Amestoy:2001:ACTa,% Amestoy:2001:ACTb,% Amestoy:2001:CST,% Amestoy:2001:MGP,% Amestoy:2001:PTTa,% Amestoy:2001:PTTb,% Amestoy:2002:TSA,% Amestoy:2004:TSA% }. \NAMECITE{Method}{% Arioli:1992:BPM,% Bjorck:1980:DMS,% Davis:1997:UPM,% Duff:1976:GND,% Duff:1987:MMP,% Duff:2015:ABC,% Alleon:2003:EPI,% Amestoy:1993:PSS,% Arioli:1990:BIM,% Arioli:1990:BPM,% Arioli:1991:TAB,% Arioli:1992:BLT,% Arioli:1992:TAB,% Arioli:1995:BLT,% Cardenal:1996:PMS,% Davis:1993:UPM,% Davis:1994:UPM,% Davis:1995:CUM,% Davis:1997:CUM,% Davis:1999:CUM,% Duff:1981:MPSa,% Duff:1981:MPSb,% Duff:1990:MMP,% Guo:2011:SGC% }. \NAMECITE{{M}{\'e}thodes}{% Absi:1980:NME% }. \NAMECITE{Methods}{% Bai:1999:CIO,% Duff:1986:DMS,% Duff:1997:DML,% Duff:1997:PWD,% Duff:1997:SNL,% Duff:2017:DMS,% Glowinski:1984:CMA,% Absi:1980:NME,% Amestoy:1993:MMI,% Bai:2001:CIO,% Bai:2012:IMT,% Bai:2015:PSI,% Carey:1989:PSM,% Carvalho:1995:LAK,% Carvalho:1996:LAK,% Davis:1992:UPM,% Duff:1976:CSM,% Duff:1979:CGM,% Duff:1984:DMS,% Duff:1987:IPN,% Duff:1989:DMS,% Duff:1989:FMM,% Duff:1994:RFM,% Duff:1996:RFM,% Duff:1996:SNL,% Duff:1997:DMS,% Duff:1998:DM,% Duff:1999:MM,% Duff:2002:DMS,% Duff:2004:CDI,% Evans:1989:PCM,% Glowinski:1980:CMA,% Papadopoulos:2002:IOF,% Papadopoulos:2005:CIO,% Papadrakakis:1996:ACM,% Papadrakakis:1999:ICM,% Pereyra:1983:NMP,% Trottenberg:1982:MMP,% Bai:2001:CIO% }. \NAMECITE{Mexico}{% Hennart:1982:NAP% }. \NAMECITE{{MIMD}}{% Dayde:1993:PBI,% Dayde:1994:PBI% }. \NAMECITE{minimization}{% Carpentieri:2000:SPS,% Carpentieri:2000:SSP% }. \NAMECITE{Minimum}{% Amestoy:1996:AMD,% Amestoy:1995:AMD,% Amestoy:2004:AAA% }. \NAMECITE{{Mitchell}}{% Duff:1991:MRB% }. \NAMECITE{Mito}{% JAERI:1990:FIC% }. \NAMECITE{Mixed}{% Duff:2007:TSM,% Arioli:2008:UFO,% Duff:2011:ATE% }. \NAMECITE{Mobility}{% Papadrakakis:1996:ACM% }. \NAMECITE{Model}{% Dongarra:1990:ASL,% Cayrols:2020:PSP,% Duff:2002:ARM,% Duff:2002:AXR% }. \NAMECITE{modern}{% Duff:1992:SLS% }. \NAMECITE{modules}{% Engquist:1984:PSM% }. \NAMECITE{Montpellier}{% Delhaye:1989:HPC% }. \NAMECITE{Mountain}{% Tuminaro:2010:SIC,% Tuminaro:2011:SSC,% vanderVorst:2001:CMC,% vanderVorst:2002:CMC,% vanderVorst:2003:CMC% }. \NAMECITE{{MPI}}{% Amestoy:2003:IIMa,% Amestoy:2003:IIMb% }. \NAMECITE{Multifrontal}{% Amestoy:1989:VMM,% Amestoy:1994:MFM,% Amestoy:1996:MFM,% Amestoy:1998:MPD,% Amestoy:1998:MSW,% Amestoy:2000:MPD,% Amestoy:2001:FAM,% Amestoy:2005:TSA,% Davis:1997:UPM,% Duff:1986:PIM,% Duff:1987:MMP,% Amestoy:1993:MMI,% Amestoy:1993:PSS,% Amestoy:1999:FAM,% Amestoy:2002:TSA,% Amestoy:2004:TSA,% Amestoy:2010:ASP,% Davis:1992:UPM,% Davis:1993:UPM,% Davis:1994:UPM,% Davis:1995:CUM,% Davis:1997:CUM,% Davis:1999:CUM,% Duff:1983:MAS,% Duff:1983:MSI,% Duff:1984:MSU,% Duff:1989:FMM,% Duff:1990:MMP,% Duff:2004:EPS,% Amestoy:1998:MMM% }. \NAMECITE{Multigrid}{% Duff:2007:MBP,% Trottenberg:1982:MMP% }. \NAMECITE{Multilevel}{% Scott:2004:MHS% }. \NAMECITE{multiple}{% Duff:1994:UMFa,% Duff:1994:UMFb,% Liu:2017:FSF% }. \NAMECITE{Multiplication}{% Higham:1990:EFM% }. \NAMECITE{Multipole}{% Carpentieri:2003:CFM,% Carpentieri:2005:CFM% }. \NAMECITE{Multiprocessing}{% Duff:1987:MSM,% Duff:1989:MSM,% Duff:1990:MSM,% Dayde:1990:ULB% }. \NAMECITE{Multiprocessor}{% Amestoy:1989:VMM,% Amestoy:1996:MFM,% Amestoy:1994:MFM% }. \NAMECITE{multiprocessors}{% Amestoy:1993:MMI,% Dayde:1990:ULB,% Dayde:1990:UPL,% Dayde:1991:ULB% }. \NAMECITE{multiscale}{% Duff:2011:ATE% }. \NAMECITE{multitasking}{% Dayde:1991:ULB% }. \NAMECITE{{MUMPS}}{% Amestoy:1998:MMM,% Amestoy:2001:MGP% }. \NAMECITE{{MUPS}}{% Amestoy:1994:MPP% }. \NAMECITE{NAA}{% Vulkov:2001:NAA% }. \NAMECITE{Nanjing}{% Bai:2011:PSI% }. \NAMECITE{NASC}{% Bai:2011:PSI% }. \NAMECITE{NATO}{% Kenway:1987:CPP,% Kowalik:1984:HSC% }. \NAMECITE{nearly}{% Duff:1984:SNS% }. \NAMECITE{Nested}{% Duff:1976:GND% }. \NAMECITE{Networking}{% ACM:2000:SHP% }. \NAMECITE{{Newton}}{% Guo:2011:SGC% }. \NAMECITE{no}{% Duff:1983:ENW,% Duff:1983:NWI,% Duff:1992:PUL% }. \NAMECITE{no-fill}{% Duff:1983:ENW,% Duff:1983:NWI% }. \NAMECITE{Node}{% Duff:1989:NOC% }. \NAMECITE{non}{% Amestoy:1998:PFL% }. \NAMECITE{nonlinear}{% Arioli:1993:CSD,% Duff:1987:ULP,% Guo:2011:SGC% }. \NAMECITE{nonsymmetric}{% Amestoy:1998:PFL% }. \NAMECITE{nonzeros}{% Duff:1974:NNA% }. \NAMECITE{norm}{% Carpentieri:2000:SPS,% Carpentieri:2000:SSP,% Duff:2000:INE,% Duff:2001:INE,% Duff:2002:INE% }. \NAMECITE{Norway}{% Sorevik:2001:APC% }. \NAMECITE{Note}{% Arioli:2007:NGP,% Duff:1983:ENW,% Duff:1983:NWI,% Duff:1992:PUL% }. \NAMECITE{notes}{% Duff:1979:SNN% }. \NAMECITE{notice}{% Dongarra:1989:UNL% }. \NAMECITE{November}{% ACM:2000:SHP,% Anonymous:1991:PIS,% Bai:2011:PSI,% Duff:1979:SMP,% IEEE:1990:PSN,% Trottenberg:1982:MMP% }. \NAMECITE{{Novotel}}{% Anonymous:1989:SPC% }. \NAMECITE{noyaux}{% Amestoy:1994:DNC% }. \NAMECITE{NSC}{% Bai:2011:PSI% }. \NAMECITE{Nuclear}{% JAERI:1990:FIC% }. \NAMECITE{number}{% Duff:1974:NNA% }. \NAMECITE{Numerical}{% Absi:1980:NME,% Bai:2009:NSI,% Dongarra:1998:NLA,% Dongarra:2000:TMH,% Duff:1981:SMT,% Duff:1986:IVP,% Duff:1997:SNL,% Duff:2002:NA,% Duff:2012:EES,% Duff:2012:TPN,% Golub:1984:SNA,% Iserles:1987:SAN,% Trefethen:2009:DHP,% vanderVorst:2001:TNA,% Bai:2012:IMT,% Bai:2015:PSI,% Cox:1990:RNC,% Duff:1979:SNN,% Duff:1987:ANT,% Duff:1987:IPN,% Duff:1996:SNL,% Duff:1997:SAN,% Duff:2007:MBP,% Fosdick:1979:PEN,% vanderVorst:1990:PAN,% Duff:1988:NAG,% Duff:1989:NAG,% Duff:1991:NAG,% Duff:1994:NAG,% Duff:1996:NAG,% Duff:1998:NAG,% Duff:2000:NAG,% Duff:2002:NAG,% Duff:2004:NAG,% Griffiths:1994:NAP,% Hennart:1982:NAP,% Pereyra:1983:NMP,% Vulkov:2001:NAA,% Watson:1982:NAP% }. \NAMECITE{numerically}{% Amestoy:1997:EPO,% Dayde:1992:EDV,% Dayde:1993:EDV% }. \NAMECITE{numerically-intensive}{% Amestoy:1997:EPO,% Dayde:1992:EDV,% Dayde:1993:EDV% }. 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Duff:1984:DFF% }. \NAMECITE{overdetermined}{% Duff:1976:CSM% }. \NAMECITE{overview}{% Duff:2002:OSB% }. \NAMECITE{Oxford}{% Duff:1985:PIC,% Duff:1985:VPP,% Fincham:1993:PCB% }. \NAMECITE{package}{% Amestoy:1994:MPP,% Amestoy:1996:MPP,% Duff:1981:MPSa,% Duff:1981:MPSb,% Duff:1983:EMP% }. \NAMECITE{{Papers}}{% Dongarra:1997:VPP,% Vulkov:2001:NAA,% Wyrzykowski:2004:PPA% }. \NAMECITE{{Par'99}}{% Amestoy:1999:EPP% }. \NAMECITE{PARA}{% Dongarra:1994:PSC,% Sorevik:2001:APC% }. \NAMECITE{paradigms}{% Sorevik:2001:APC% }. \NAMECITE{Parallel}{% Amestoy:1993:PSS,% Amestoy:1994:PAS,% Amestoy:1998:MMM,% Amestoy:1998:PIP,% Amestoy:1999:PIP,% Amestoy:2015:PCE,% Anonymous:2001:PTS,% Arioli:1995:PBI,% Arioli:1995:PSBb,% Bailey:1995:PSS,% Bouge:1992:PPC,% Carey:1989:PSM,% Cosnard:1989:PDA,% Davis:2020:DIP,% Dayde:1994:PBI,% Dongarra:1989:VPC,% Dongarra:1990:PPS,% Dongarra:1992:PFS,% Duff:1985:PIC,% Duff:1985:VPP,% Duff:1986:IVP,% Duff:1986:PIM,% Duff:1986:PSS,% Duff:1986:UVPa,% Duff:1986:UVPb,% 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Duff:2018:SDS,% Fincham:1993:PCB,% Jesshope:1987:MAP,% Liu:2016:SFA,% Liu:2017:FSF,% Moonen:1995:APV,% Natori:1994:MAP,% Perrott:1992:SPC,% Sorevik:2001:APC,% Bouge:1992:PPC,% Cosnard:1989:PDA,% Dongarra:1990:PPS,% Dongarra:1994:PSC,% Evans:1989:PCM,% Evans:1990:PCP,% Fincham:1993:PCB,% Paul:1988:PSC,% Wyrzykowski:2004:PPA% }. \NAMECITE{parall{\`e}les}{% Amestoy:1994:DNC,% Dayde:1992:EDV,% Dayde:1993:EDV% }. \NAMECITE{Parall{\`e}lisation}{% Amestoy:1998:PFL% }. \NAMECITE{Parallelism}{% Duff:1988:PSM,% Anonymous:1989:SPC,% Duff:1987:IPN,% Duff:1993:EPD% }. \NAMECITE{Parallelization}{% Cayrols:2020:PSP,% Duff:1986:EOP,% Amestoy:1998:PFL% }. \NAMECITE{parametrized}{% Duff:2018:ESCb% }. \NAMECITE{{PARASOL}}{% Amestoy:1998:MSW,% Amestoy:1998:PIP,% Amestoy:1999:PIP% }. \NAMECITE{part}{% Duff:1997:PWD% }. \NAMECITE{Partitioning}{% Drummond:2015:PSB,% Duff:2004:PPB% }. \NAMECITE{Pattern}{% Davis:1997:UPM,% Carpentieri:2000:SPS,% Carpentieri:2000:SSP,% Davis:1992:UPM,% Davis:1993:UPM,% Davis:1994:UPM% }. \NAMECITE{PDE}{% Engquist:1984:PSM,% Duff:1982:SMS,% Engquist:1984:PSM% }. \NAMECITE{Performance}{% ACM:2000:SHP,% Amestoy:2001:PTTa,% Amestoy:2001:PTTb,% Cliffe:1997:PIF,% Cliffe:1998:PIF,% Dayde:1997:UCK,% Dongarra:1986:PVC,% Dongarra:1998:NLA,% Duff:1979:PEC,% Duff:1989:CEC,% Duff:1999:IHP,% Fosdick:1979:PEN,% Trefethen:2009:DHP,% Amestoy:1997:EPO,% Amestoy:2003:IIMa,% Amestoy:2003:IIMb,% Arbenz:1998:HPA,% Dayde:1996:UCK,% Delhaye:1989:HPC,% Duff:1994:SSE,% Duff:2000:IHP,% Amestoy:1997:EPO,% Fosdick:1979:PEN,% Allan:1999:HPC% }. \NAMECITE{performed}{% Duff:1974:NNA% }. \NAMECITE{Permutations}{% Duff:1978:APB,% Duff:1981:APZ,% Duff:1977:PBT% }. \NAMECITE{Permuting}{% Duff:1999:DUA,% Duff:1997:DUA,% Duff:1999:APL,% Duff:2001:APL% }. \NAMECITE{Perturbed}{% Arioli:2007:NGP% }. \NAMECITE{phase}{% Amestoy:2010:ASP,% Cayrols:2020:PSP% }. \NAMECITE{physics}{% Kenway:1987:CPP% }. \NAMECITE{Pivot}{% Duff:1974:PSR% }. \NAMECITE{pivotal}{% Duff:1974:CSO% }. \NAMECITE{Pivoting}{% Arioli:2007:NGP,% Duff:2005:SSP,% Duff:2007:TSM,% Duff:2020:NSS,% Duff:2004:SSP,% Duff:2005:TSS% }. \NAMECITE{point}{% Amestoy:2003:IIMa,% Amestoy:2003:IIMb% }. \NAMECITE{point-to-point}{% Amestoy:2003:IIMa,% Amestoy:2003:IIMb% }. \NAMECITE{Poland}{% Wyrzykowski:2004:PPA% }. \NAMECITE{{POLISH}}{% Duff:1982:UPA% }. \NAMECITE{port}{% Dayde:1992:EDV% }. \NAMECITE{portable}{% Amestoy:1991:DPS% }. \NAMECITE{portage}{% Amestoy:1994:DNC,% Dayde:1992:EDV% }. \NAMECITE{Porting}{% Dayde:1994:PIC,% Dayde:1995:PIC,% Amestoy:1994:DNC% }. \NAMECITE{Porto}{% DAlmeida:1995:VPP,% Dongarra:1997:VPP% }. \NAMECITE{Portugal}{% Dongarra:1997:VPP,% DAlmeida:1995:VPP% }. \NAMECITE{Porz}{% Trottenberg:1982:MMP% }. \NAMECITE{Positive}{% Duff:1984:BRB,% Duff:1997:MFC,% Duff:1999:FCS,% Duff:1999:MFC% }. \NAMECITE{positive-definite}{% Duff:1997:MFC,% Duff:1999:FCS,% Duff:1999:MFC% }. \NAMECITE{Posteriori}{% Duff:2020:NSS% }. \NAMECITE{pour}{% Amestoy:1998:PFL% }. \NAMECITE{PPAM}{% Wyrzykowski:2004:PPA% }. \NAMECITE{Practical}{% Duff:1979:PCC,% Duff:1987:PUH,% Bai:2015:PSI% }. \NAMECITE{precision}{% Arioli:2008:UFO,% Chaitin-Chatelin:1996:LFP,% Duff:1987:EAP% }. \NAMECITE{Preconditioned}{% Arioli:2007:NGP,% Duff:1989:EOP% }. \NAMECITE{Preconditioner}{% Carpentieri:2003:CFM,% Carpentieri:2005:CFM% }. \NAMECITE{Preconditioners}{% Duff:2013:PBS,% Bai:2009:NSI,% Carpentieri:2000:SPS,% Carpentieri:2000:SSP,% Carpentieri:2001:SSP,% Carpentieri:2002:CST,% Carpentieri:2002:SSP,% Carpentieri:2003:CST,% Carpentieri:2004:SSP,% Duff:2003:USL,% Duff:2004:PPB,% Duff:2005:USL,% Duff:2007:MBP% }. \NAMECITE{Preconditioning}{% Arioli:2015:PLL,% Duff:1997:SNL,% Duff:1998:PPP,% Saad:2000:PTL,% Carpentieri:2000:ESP,% Carpentieri:2000:RPD,% Carpentieri:2001:RPD,% Duff:1996:SNL% }. \NAMECITE{Preface}{% Bai:2011:PSI,% Bai:2015:PSI,% Duff:1985:PIC,% Duff:1997:DML% }. \NAMECITE{preprocessing}{% Duff:2004:EPS% }. \NAMECITE{present}{% Duff:1990:PSS% }. \NAMECITE{primal}{% Duff:2011:ATE% }. \NAMECITE{primal-mixed}{% Duff:2011:ATE% }. \NAMECITE{Problems}{% Arioli:1989:ASA,% Arioli:2015:PLL,% Bjorck:1980:DMS,% Duff:1989:SMT,% Duff:1999:IHP,% Duff:2005:SSP,% Arbenz:1998:HPA,% Carpentieri:2000:ESP,% Carpentieri:2000:RPD,% Carpentieri:2001:RPD,% Duff:1979:PEC,% Duff:1982:SMT,% Duff:1989:NOC,% Duff:1990:SLS,% Duff:2000:IHP,% Duff:2004:EPS,% Duff:2004:SSP,% Duff:2007:MBP,% Duff:2012:CPS,% Saad:2000:PTL% }. \NAMECITE{Procedures}{% Papadrakakis:1996:ACM% }. \NAMECITE{Proceedings}{% Anonymous:1999:PCC,% CRI:1982:SEC,% Dongarra:1990:PPS,% Duff:1979:SMP,% Duff:1981:SMT,% Duff:1985:VPP,% Duff:1997:DML,% Evans:1990:PCP,% Glowinski:1984:CMA,% Iserles:1987:SAN,% Kowalik:1984:HSC,% Watson:1982:NAP,% Ames:1994:IPI,% Cosnard:1989:PDA,% Delhaye:1989:HPC,% Engquist:1984:PSM,% Evans:1989:PCM,% Fincham:1993:PCB,% Fosdick:1979:PEN,% Glowinski:1980:CMA,% Griffiths:1994:NAP,% Hennart:1982:NAP,% Kenway:1987:CPP,% Moonen:1995:APV,% Paul:1988:PSC,% Pereyra:1983:NMP,% Trottenberg:1982:MMP,% Amestoy:1999:EPP,% Anonymous:1991:PIS,% Anonymous:2001:PTS,% Bailey:1995:PSS,% Depeyre:1992:PES,% Dongarra:1992:PFS,% Duff:1985:PIC,% Duff:1997:PWD,% IEEE:1990:PSN,% Lewis:1994:PFS,% Manley:1990:PTE,% Sorevik:2001:APC,% Bouge:1992:PPC,% Dongarra:1994:PSC,% Handler:1986:CCA,% Houstis:1988:SIC,% JAERI:1990:FIC% }. \NAMECITE{processes}{% Bell:1999:SCP% }. \NAMECITE{Processing}{% Anonymous:2001:PTS,% Bailey:1995:PSS,% Dongarra:1990:PPS,% Dongarra:1992:PFS,% Handler:1986:CCA,% Wyrzykowski:2004:PPA,% Amestoy:1999:EPP,% Bouge:1992:PPC,% DAlmeida:1995:VPP,% Dongarra:1997:VPP,% Jesshope:1987:MAP,% Rodrigue:1989:PPS% }. \NAMECITE{Processing-Systems}{% Dongarra:1997:VPP% }. \NAMECITE{Processors}{% Dayde:1994:PBI,% Dayde:1997:BIL,% Dayde:1997:UCK,% Dayde:1999:RBB,% Duff:1985:PIC,% Duff:1985:VPP,% Duff:1986:IVP,% Dayde:1993:PBI,% Dayde:1996:BIL,% Dayde:1996:UCK,% Duff:1982:SSLa% }. \NAMECITE{profile}{% Duff:1989:UPR% }. \NAMECITE{programmes}{% Dayde:1992:EDV,% Dayde:1993:EDV% }. 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Cardenal:1998:SSQ% }. \NAMECITE{reduction}{% Duff:1974:PSR,% Duff:1975:RSM,% Duff:1989:UPR% }. \NAMECITE{reference}{% Duff:2002:ARM,% Duff:2002:AXR% }. \NAMECITE{Regency}{% Duff:1979:SMP% }. \NAMECITE{{Release}}{% Duff:1992:UGH% }. \NAMECITE{Reliable}{% Cox:1990:RNC% }. \NAMECITE{Remarks}{% Duff:1988:RIA,% Duff:1985:SRIa,% Duff:1985:SRIb% }. \NAMECITE{Replicated}{% Duff:2023:RRB% }. \NAMECITE{Report}{% Dayde:1992:EDV,% Dayde:1993:EDV,% Duff:1988:NAG,% Duff:1989:NAG,% Duff:1991:NAG,% Duff:1994:NAG,% Duff:1996:NAG,% Duff:1998:NAG,% Duff:2000:NAG,% Duff:2002:NAG,% Duff:2004:NAG% }. \NAMECITE{repr{\'e}sentatifs}{% Dayde:1992:EDV,% Dayde:1993:EDV% }. \NAMECITE{representative}{% Dayde:1992:EDV,% Dayde:1993:EDV% }. \NAMECITE{Republic}{% Kowalik:1984:HSC% }. \NAMECITE{Research}{% CRI:1982:SEC,% Dongarra:1989:VPC,% Dongarra:2000:TMH,% Duff:1977:SSM,% Duff:1984:RDS,% Kowalik:1984:HSC,% Duff:1990:PAR,% Duff:1999:BBRa,% Duff:1999:BBRb% }. \NAMECITE{results}{% Papadopoulos:2002:IOF,% 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Duff:1982:SMS,% Duff:1984:RDS,% Duff:1985:DSA,% Duff:1996:CFS,% Duff:1997:CFS,% Duff:1998:CFS,% Duff:1999:BBRa,% Duff:1999:BBRb,% Engquist:1984:PSM,% Fosdick:1979:PEN,% Fosdick:1979:PEN% }. \NAMECITE{solid}{% Duff:2011:ATE% }. \NAMECITE{Solution}{% Bjorck:1980:DMS,% Cardenal:1996:SSQ,% Cardenal:1998:SSQ,% Duff:1979:PCC,% Duff:1982:SSLb,% Duff:1982:SSLc,% Duff:1984:BRB,% Duff:1984:SSL,% Duff:1986:PSS,% Duff:1986:UVPa,% Duff:1986:UVPb,% Duff:1991:SSL,% Duff:1995:MFC,% Duff:1996:FSS,% Duff:1999:DTPa,% Duff:1999:IHP,% Duff:2007:TSM,% Papadrakakis:1996:ACM,% Alleon:2003:EPI,% Amestoy:1989:UCK,% Amestoy:1989:ULBa,% Amestoy:1989:ULBb,% Amestoy:1993:PSS,% Amestoy:2001:CST,% Amestoy:2010:ASP,% Cardenal:1996:PMS,% Duff:1976:CSM,% Duff:1979:DSS,% Duff:1979:SCA,% Duff:1980:RDS,% Duff:1982:SSLa,% Duff:1983:MSI,% Duff:1984:MSU,% Duff:1984:SNS,% Duff:1985:CSS,% Duff:1987:IVP,% Duff:1987:ULP,% Duff:1987:UVP,% Duff:1988:CSS,% Duff:1989:PAS,% Duff:1990:SLS,% Duff:1992:SLS,% Duff:1993:EPD,% 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Amestoy:2001:ACTb,% Amestoy:2001:PTTa,% Amestoy:2001:PTTb,% Amestoy:2003:IIMa,% Amestoy:2003:IIMb,% Arioli:1991:SCI,% Arioli:1995:PBI,% Arioli:1995:PSBa,% Dayde:1994:PIC,% Dayde:1995:PIC,% Dayde:1996:UCK,% Duff:1987:SSS,% Duff:1989:DS,% Duff:1996:CFS,% Duff:1997:CFS,% Duff:1998:CFS,% Duff:2004:SBB,% Duff:2005:SBB% }. \NAMECITE{solves}{% Liu:2016:SFA,% Liu:2017:FSF% }. \NAMECITE{Solving}{% Arioli:1988:SSL,% Arioli:1989:SSL,% Dongarra:1991:SLS,% Amestoy:1994:MPP,% Amestoy:1996:MPP,% Arioli:1990:BCB,% Bouaricha:1994:ESA,% Duff:1981:DUF,% Duff:1981:MPSa,% Duff:1981:MPSb,% Duff:1982:MSF,% Duff:1983:EMP,% Duff:1983:MAS,% Duff:1984:DFF,% Duff:1984:DMS,% Duff:1993:MNF,% Duff:1994:RFM,% Duff:1996:DNF,% Duff:1996:RFM,% Duff:2012:CPS,% Spedicato:1991:CAS% }. \NAMECITE{Some}{% Carpentieri:2000:SSP,% Duff:1979:SCA,% Duff:1979:SDF,% Duff:1979:SNN,% Duff:1985:SRIa,% Duff:1985:SRIb,% Duff:1976:CSM% }. \NAMECITE{Sources}{% Cowell:1984:SDM% }. \NAMECITE{{Sparker}}{% Duff:1992:PUL% }. \NAMECITE{Sparse}{% Amestoy:1998:PIP,% Amestoy:1999:PIP,% Amestoy:2012:CIE,% Arioli:1988:SSL,% Arioli:1989:ASA,% Arioli:1990:UAC,% Arioli:1992:BPM,% Bjorck:1980:DMS,% Carpentieri:2000:SPS,% Carpentieri:2001:SSP,% Carpentieri:2002:SSP,% Carpentieri:2004:SSP,% Dave:1987:SMC,% Davis:1997:UPM,% Dayde:1997:UCK,% Duff:1972:ASS,% Duff:1977:SSM,% Duff:1979:PCC,% Duff:1979:SDF,% Duff:1980:SMT,% Duff:1981:MSU,% Duff:1981:SMT,% Duff:1982:ESM,% Duff:1982:SMS,% Duff:1982:SMT,% Duff:1982:SSLb,% Duff:1982:SSLc,% Duff:1984:BRB,% Duff:1984:SSL,% Duff:1984:SSM,% Duff:1986:DMS,% Duff:1986:EOP,% Duff:1986:PSS,% Duff:1986:UVPa,% Duff:1986:UVPb,% Duff:1987:MSM,% Duff:1989:SMT,% Duff:1991:SSL,% Duff:1992:UGH,% Duff:1993:CSE,% Duff:1995:CCS,% Duff:1995:MFC,% Duff:1996:FSS,% Duff:1996:SNL,% Duff:1997:LBL,% Duff:1997:RBS,% Duff:1997:SNL,% Duff:1999:DUA,% Duff:2005:SSP,% Duff:2007:SSS,% Duff:2007:TSM,% Duff:2017:DMS,% Duff:2018:SDS,% Duff:2020:NSS,% Amestoy:1989:UCK,% Amestoy:1989:ULBa,% Amestoy:1989:ULBb,% Amestoy:1993:MMI,% Amestoy:1993:PSS,% Amestoy:1994:MPP,% Amestoy:1996:MPP,% Amestoy:1998:PFL,% Amestoy:2000:ATC,% Amestoy:2001:ACTa,% Amestoy:2001:ACTb,% Amestoy:2001:CST,% Amestoy:2001:MGP,% Amestoy:2001:PTTa,% Amestoy:2001:PTTb,% Amestoy:2003:APSa,% Amestoy:2003:APSb,% Amestoy:2003:IIMa,% Amestoy:2003:IIMb,% Arioli:1989:SSL,% Arioli:1990:BIM,% Arioli:1990:BPM,% Arioli:1990:ETL,% Cardenal:1996:SSQ,% Cardenal:1998:SSQ,% Carpentieri:2000:ESP,% Carpentieri:2000:SSP,% Davis:1992:UPM,% Davis:1993:UPM,% Davis:1994:UPM,% Davis:1995:CUM,% Davis:1997:CUM,% Davis:1999:CUM,% Dayde:1994:PIC,% Dayde:1995:PIC,% Dayde:1996:UCK,% Duff:1974:NNA,% Duff:1974:PSR,% Duff:1975:RSM,% Duff:1976:CSM,% Duff:1977:MSF,% Duff:1979:DSS,% Duff:1979:PEC,% Duff:1979:SCA,% Duff:1980:MSF,% Duff:1980:RDS,% Duff:1981:DUF,% Duff:1981:FMT,% Duff:1981:MPSa% }. \NAMECITE{sparse}{% Duff:1981:MPSb,% Duff:1981:SF,% Duff:1982:FMT,% Duff:1982:MSF,% Duff:1982:SSLa,% Duff:1983:EMP,% Duff:1983:ENW,% Duff:1983:MAS,% Duff:1983:MSI,% Duff:1983:NWI,% Duff:1984:DFF,% Duff:1984:DMS,% Duff:1984:RDS,% Duff:1984:SNS,% Duff:1985:CSS,% Duff:1985:DSA,% Duff:1985:SRIa,% Duff:1985:SRIb,% Duff:1987:IVP,% Duff:1987:SSS,% Duff:1987:ULP,% Duff:1987:UVP,% Duff:1988:CSS,% Duff:1988:PSM,% Duff:1989:DMS,% Duff:1989:MSM,% Duff:1989:NOC,% Duff:1989:PAS,% Duff:1990:FSS,% Duff:1990:MSM,% Duff:1991:CSE,% Duff:1991:FSS,% Duff:1991:PAG,% Duff:1992:CSE,% Duff:1992:PUL,% Duff:1992:SLS,% Duff:1993:EPD,% Duff:1993:MFC,% Duff:1993:MNF,% Duff:1994:MFC,% Duff:1994:SSE,% Duff:1995:EZD,% Duff:1995:SLB,% Duff:1996:CFS,% Duff:1996:DMC,% Duff:1996:DNF,% Duff:1996:EZD,% Duff:1997:CFS,% Duff:1997:DMS,% Duff:1997:DUA,% Duff:1997:MFC,% Duff:1998:CFS,% Duff:1998:LLB,% Duff:1999:APL,% Duff:1999:BBRa,% Duff:1999:BBRb,% Duff:1999:FCS,% Duff:1999:MFC,% Duff:19xx:SLB,% Duff:2000:INE,% Duff:2001:APL,% Duff:2001:INE,% Duff:2002:DMS,% Duff:2002:INE,% Duff:2002:MNC,% Duff:2004:MCS,% Duff:2004:PDS,% Duff:2004:PPB,% Duff:2004:SBB,% Duff:2004:SSP,% Duff:2005:SBB,% Duff:2005:TSS,% Duff:2009:DUS,% Duff:2018:ESC,% Duff:2018:ESCb,% Liu:2016:SFA,% Liu:2017:FSF,% Reid:1995:DMC,% Saad:2000:PTL,% Duff:1979:SMP,% Duff:2000:ISB,% Duff:2001:ISB,% Duff:2001:SB,% Duff:2002:ARM,% Duff:2002:AXR,% Duff:2002:OSB% }. \NAMECITE{Sparsity}{% Duff:1988:SSG,% Evans:1985:SA,% Duff:1974:CSO% }. \NAMECITE{Special}{% Chatelin:1987:SVM,% Colbrook:1997:EES,% Colbrook:1997:ESI,% Tuminaro:2010:SIC,% Tuminaro:2011:SSC,% Bai:2015:PSI,% Bai:2011:PSI% }. \NAMECITE{spectral}{% Carpentieri:2002:CST,% Carpentieri:2003:CST,% Duff:2003:USL,% Duff:2005:USL,% Scott:2004:MHS% }. \NAMECITE{Speed}{% Dongarra:2000:TMH,% Kowalik:1984:HSC,% Kowalik:1984:HSC% }. \NAMECITE{square}{% Cardenal:1996:SSQ,% Cardenal:1998:SSQ% }. \NAMECITE{Squares}{% Arioli:1989:ASA,% Arioli:2015:PLL,% Bjorck:1980:DMS,% Duff:1990:SLS% }. \NAMECITE{{SSOR}}{% Arioli:1990:BCB% }. \NAMECITE{St}{% Fincham:1993:PCB,% Kenway:1987:CPP% }. \NAMECITE{Stability}{% Demmel:1992:SBA,% Arioli:2008:UFO% }. \NAMECITE{Stabilized}{% Duff:2004:SBB,% Duff:2005:SBB% }. \NAMECITE{Stable}{% Duff:2007:TSM,% Duff:2005:TSS% }. \NAMECITE{standard}{% Duff:2002:OSB% }. \NAMECITE{state}{% Dayde:1992:EDV,% Duff:1997:SAN,% Spedicato:1991:CAS,% Iserles:1987:SAN% }. \NAMECITE{Static}{% Arioli:2007:NGP,% Duff:2005:TSS% }. \NAMECITE{status}{% Duff:1990:CSS,% Duff:1990:PSS% }. \NAMECITE{{Stewart}}{% Duff:2010:BGW% }. \NAMECITE{stiff}{% Duff:1987:SSS% }. \NAMECITE{Stopping}{% Arioli:1991:SCI,% Arioli:1992:SCI% }. \NAMECITE{Strategies}{% Duff:2004:SSP,% Duff:2005:SSP,% Duff:2007:TSM,% Carpentieri:2000:SPS,% Carpentieri:2000:SSP,% Drummond:2015:PSB% }. \NAMECITE{strategy}{% Duff:2005:TSS% }. \NAMECITE{strong}{% Duff:2013:PBS% }. \NAMECITE{structural}{% Duff:1985:CSIa,% Duff:1985:CSIb,% Duff:1986:CSI,% Papadrakakis:1996:ACM,% Papadrakakis:1999:ICM% }. \NAMECITE{structurally}{% Duff:1989:NOC% }. \NAMECITE{structurally-symmetric}{% Duff:1989:NOC% }. \NAMECITE{Structure}{% Duff:1988:SSG% }. \NAMECITE{structured}{% Amestoy:1994:PAS,% Arbenz:1998:HPA,% Duff:1994:MFC% }. \NAMECITE{structures}{% Duff:1985:DSA% }. \NAMECITE{Studies}{% Golub:1984:SNA% }. \NAMECITE{Study}{% Kenway:1987:CPP,% Amestoy:2001:CST,% Bai:2009:NSI% }. \NAMECITE{subgraphs}{% Duff:2013:PBS% }. \NAMECITE{Subprograms}{% Blackford:2002:USB,% Dongarra:1987:PSLa,% Blackford:2001:USB,% Dongarra:1988:SLB,% Dongarra:1989:PSL,% Dongarra:1990:ASL,% Dongarra:1990:SLB,% Duff:1995:SLB,% Duff:1997:LBL,% Duff:1998:LLB,% Duff:19xx:SLB,% Duff:2002:OSB% }. \NAMECITE{Subroutine}{% Duff:1988:EHS,% Duff:1996:CFS,% Duff:1998:CFS% }. \NAMECITE{subroutines}{% Duff:1977:MSF,% Duff:1980:MSF,% Duff:1982:MSF% }. \NAMECITE{Subspace}{% Duff:1993:CSE,% Duff:1995:CCS,% Duff:1991:CSE% }. \NAMECITE{Summer}{% Kenway:1987:CPP% }. \NAMECITE{Super}{% Duff:1985:SCE% }. \NAMECITE{Super-Calculators}{% Duff:1985:SCE% }. \NAMECITE{Supercomputers}{% Duff:1984:SE,% Duff:1990:S,% Duff:1991:SSL,% Duff:1985:USE,% Duff:1990:SLS% }. \NAMECITE{Supercomputing}{% Adeli:1992:SEA,% Anonymous:1991:PIS,% Bell:1999:SCP,% 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\NAMECITE{synchronization}{% Liu:2016:SFA,% Liu:2017:FSF% }. \NAMECITE{synchronization-free}{% Liu:2016:SFA,% Liu:2017:FSF% }. \NAMECITE{System}{% Arioli:1989:ASA,% Duff:1994:RFM,% Duff:2007:SSS% }. \NAMECITE{Systems}{% Arioli:1988:SSL,% Dongarra:1991:SLS,% Dongarra:1997:VPP,% Duff:1972:ASS,% Duff:1979:PCC,% Duff:1995:MFC,% Duff:1999:DTPa,% Duff:1999:IHP,% Duff:2007:TSM,% Alleon:2003:EPI,% Amestoy:1993:PSS,% Amestoy:1994:PAS,% Arioli:1989:SSL,% Arioli:1990:BCB,% Arioli:1990:ETL,% Bouaricha:1994:ESA,% Cardenal:1996:PMS,% Cardenal:1996:SSQ,% Cardenal:1998:SSQ,% Carpentieri:2001:SSP,% Carpentieri:2002:SSP,% Carpentieri:2004:SSP,% Duff:1976:CSM,% Duff:1979:SCA,% Duff:1981:MPSa,% Duff:1981:MPSb,% Duff:1983:MSI,% Duff:1984:DFF,% Duff:1984:DMS,% Duff:1984:SNS,% Duff:1989:AS,% Duff:1991:PAG,% Duff:1992:SLS,% Duff:1993:EPD,% Duff:1993:MFC,% Duff:1993:MNF,% Duff:1993:SAS,% Duff:1994:ESA,% Duff:1994:MFC,% Duff:1994:SAS,% Duff:1995:EZD,% Duff:1996:DMC,% Duff:1996:DNF,% Duff:1996:EZD,% 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