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Chandrasekaran:1991:RRF,% Chandrasekaran:1994:RRF,% Drineas:2019:LRM,% Ipsen:2011:RDN% }. \NAMECITE{Rank-Deficient}{% Ipsen:2011:RDN% }. \NAMECITE{Rank-Revealing}{% Chandrasekaran:1991:RRF,% Chandrasekaran:1994:RRF% }. \NAMECITE{Ranking}{% Wills:2009:ORG,% Wills:2008:ORG% }. \NAMECITE{Real}{% Hallman:2023:MCM% }. \NAMECITE{Recursive}{% Gropp:1988:RMR,% Gropp:1989:RMR% }. \NAMECITE{Refined}{% Ipsen:2009:RPB% }. \NAMECITE{Refinement}{% Gropp:1988:RMR,% Gropp:1989:GCS,% Gropp:1989:RMR% }. \NAMECITE{regions}{% Beattie:2003:IRM% }. \NAMECITE{regression}{% Chi:2021:MPB,% Chi:2022:PBA% }. \NAMECITE{Relative}{% Eisenstat:1993:RPT,% Eisenstat:1994:RPB,% Eisenstat:1995:RPT,% Eisenstat:1998:RPR,% Eisenstat:1998:TAP,% Ipsen:1998:RPR,% Eisenstat:1999:TAP,% Ipsen:2000:ARP,% Ipsen:2000:ORT,% Ipsen:2003:NUA% }. \NAMECITE{Remarks}{% Ipsen:1990:SRG,% Ipsen:1991:SRG% }. \NAMECITE{Research}{% Ipsen:2010:ERPa,% Ipsen:2010:ERPb,% Ipsen:2010:ERPc,% Ipsen:2010:ERPd,% Ipsen:2011:ERPa,% Ipsen:2011:ERPb,% Ipsen:2011:ERPc,% Ipsen:2011:ERPd,% Ipsen:2012:ERP,% Ipsen:2012:RS% }. \NAMECITE{residual}{% Ipsen:2000:EBG% }. \NAMECITE{Results}{% Drineas:2018:SCR,% Eisenstat:1998:RPR,% Ipsen:1998:RPR% }. \NAMECITE{Retrieval}{% Eriksson-Bique:2011:ISM% }. \NAMECITE{Revealing}{% Chandrasekaran:1991:RRF,% Chandrasekaran:1994:RRF% }. \NAMECITE{Right}{% Banoczi:1998:LIR% }. \NAMECITE{Right-Hand}{% Banoczi:1998:LIR% }. \NAMECITE{Ring}{% Ipsen:1984:CDL,% Ipsen:1986:CDL% }. \NAMECITE{Rotations}{% Barlow:1987:SGR,% Delosme:1986:PSS,% Ipsen:1984:PMU% }. \NAMECITE{Sampling}{% Eriksson-Bique:2011:ISM,% Ipsen:2014:ECS% }. \NAMECITE{scale}{% Cullum:1986:LSE% }. \NAMECITE{Scaled}{% Barlow:1987:SGR% }. \NAMECITE{{Schatten}}{% Chi:2021:MPB% }. \NAMECITE{Scheme}{% Gropp:1989:GCS% }. \NAMECITE{Scientific}{% Dongarra:1990:PPS,% Rodrigue:1989:PPS% }. \NAMECITE{Scores}{% Holodnak:2015:CLS% }. \NAMECITE{Selection}{% Ipsen:2011:RDN% }. \NAMECITE{Sensitivity}{% Chandrasekaran:1995:SSC% }. \NAMECITE{Shanghai}{% Ipsen:2009:PIC,% Ipsen:2009:SID,% Jiang:1994:NAP% }. \NAMECITE{{SIAM}}{% Dongarra:1990:PPS,% Lewis:1994:ALA,% Rodrigue:1989:PPS% }. \NAMECITE{Side}{% Banoczi:1998:LIR% }. \NAMECITE{Signal}{% Golub:1988:NAS% }. \NAMECITE{Singular}{% Chandrasekaran:1994:BEE,% Chandrasekaran:1994:DCA,% Chandrasekaran:1994:SVD,% Chandrasekaran:1995:AQA,% Drineas:2019:LRM,% Eisenstat:1993:RPT,% Eisenstat:1994:RPB,% Eisenstat:1995:RPT,% Ipsen:1984:SVD,% Chandrasekaran:1995:AAC,% Ipsen:1998:RPR% }. \NAMECITE{sketched}{% Chi:2022:PBA% }. \NAMECITE{Snowbird}{% Lewis:1994:ALA% }. \NAMECITE{Society}{% Ipsen:2009:SID% }. \NAMECITE{Solution}{% Banoczi:1998:LIR,% Barlow:1987:SGR,% Campbell:1995:CES,% Chandrasekaran:1995:SSC,% Delosme:1986:PSS,% Delosme:1987:ESA,% Ipsen:1984:CDL,% Ipsen:1985:IPA,% Ipsen:1986:CDL,% Ipsen:1986:IPA,% Ipsen:1987:SAP,% Ipsen:1988:SAP,% Ipsen:1996:HWC,% Campbell:1996:CES,% Ipsen:2006:SIA,% Ipsen:2006:SIP,% Ipsen:2009:SIA% }. \NAMECITE{solvers}{% Bartels:2019:PLS% }. \NAMECITE{Solving}{% Ipsen:1987:SST,% Ipsen:1990:SST,% Ipsen:1987:TMS% }. \NAMECITE{Some}{% Ipsen:1990:SRG,% Ipsen:1991:SRG% }. \NAMECITE{Spaces}{% Drineas:2018:SCR% }. \NAMECITE{Special}{% Ipsen:2006:SIA,% Ipsen:2006:SIP,% Ipsen:2008:PCS,% Ipsen:2009:SIA,% Ipsen:2009:SID,% Girolami:2019:ESE,% Ipsen:2007:PCS% }. \NAMECITE{Spotlights}{% Ipsen:2012:RS% }. \NAMECITE{Squares}{% Barlow:1987:SGR,% Ipsen:2011:RDN,% Ipsen:2014:ECS% }. \NAMECITE{Stability}{% Ipsen:1994:USM% }. \NAMECITE{Stable}{% Delosme:1989:BAS,% Ipsen:1983:SMC% }. \NAMECITE{Statistical}{% Reid:2023:SPB% }. \NAMECITE{Structural}{% Drineas:2018:SCR% }. \NAMECITE{Study}{% Golub:1988:NAS% }. \NAMECITE{Subset}{% Ipsen:2011:RDN% }. \NAMECITE{Subspace}{% Holodnak:2018:PSB% }. \NAMECITE{Subspaces}{% Drineas:2018:SCR,% Eisenstat:1994:RPB,% Holodnak:2018:PSB,% Ipsen:1995:ABC,% Ipsen:2000:ARP,% Ipsen:2000:ORT,% Ipsen:2010:EIS% }. \NAMECITE{summation}{% Hallman:2023:PAD% }. \NAMECITE{Symmetric}{% Delosme:1986:PSS,% Hallman:2023:MCM,% Ipsen:1987:SAP,% Ipsen:1987:SST,% Ipsen:1988:SAP,% Ipsen:1990:SST,% Ipsen:1987:TMS% }. \NAMECITE{synthesis}{% Delosme:1986:SAS% }. \NAMECITE{System}{% Banoczi:1998:LIR,% Ipsen:1984:CDL,% Ipsen:1986:CDL% }. \NAMECITE{Systems}{% Chandrasekaran:1995:SSC,% Cockayne:2021:PIM,% Delosme:1986:PSS,% Delosme:1987:ESA,% Ipsen:1987:SAP,% Ipsen:1988:SAP% }. \NAMECITE{Systolic}{% Barlow:1987:SGR,% Delosme:1986:SAS,% Delosme:1987:ESA,% Heller:1982:SNO,% Heller:1983:SNO,% Ipsen:1984:SVD,% Ipsen:1987:SAP,% Ipsen:1988:SAP% }. \NAMECITE{Techniques}{% Eisenstat:1993:RPT,% Eisenstat:1995:RPT,% Ipsen:2005:PT,% Ipsen:2006:PTa,% Ipsen:2006:PTb,% Ipsen:2006:PTc,% Ipsen:2006:PTd,% Ipsen:2007:PTa,% Ipsen:2007:PTb,% Ipsen:2007:PTc,% Ipsen:2007:PTd,% Ipsen:2008:PTa,% Ipsen:2008:PTd,% Ipsen:2009:PTI,% Ipsen:2009:PTa,% Ipsen:2009:PTb,% Ipsen:2009:PTc,% Ipsen:2007:PT,% Ipsen:2008:PTIa,% Ipsen:2008:PTIb% }. \NAMECITE{Their}{% Heller:1982:SNO% }. \NAMECITE{theorems}{% Ipsen:2000:ORT% }. \NAMECITE{theory}{% Ipsen:2010:EIS% }. \NAMECITE{Third}{% Rodrigue:1989:PPS% }. \NAMECITE{Three}{% Eisenstat:1998:TAP,% Eisenstat:1999:TAP% }. \NAMECITE{time}{% Delosme:1986:SAS% }. \NAMECITE{{Toeplitz}}{% Delosme:1987:ESA,% Ipsen:1987:SAP,% Ipsen:1988:SAP% }. \NAMECITE{total}{% Chi:2022:PBA% }. \NAMECITE{trace}{% Saibaba:2017:RMF% }. \NAMECITE{Transformations}{% Heller:1982:SNO% }. \NAMECITE{Trees}{% Bhatt:1985:HET% }. \NAMECITE{Triangular}{% Chandrasekaran:1994:SVD% }. \NAMECITE{Tridiagonal}{% Ipsen:1987:SST,% Ipsen:1990:SST,% Ipsen:1987:TMS% }. \NAMECITE{Two}{% Ipsen:1987:TMS% }. \NAMECITE{uncertainties}{% Chi:2022:PBA% }. \NAMECITE{Uniform}{% Delosme:1990:PCA,% Gropp:1989:GCS,% Ipsen:1994:USM% }. \NAMECITE{unifying}{% Bartels:2019:PLS,% Ipsen:2003:NUA% }. \NAMECITE{Untitled}{% Ipsen:2007:U,% Ipsen:2012:U% }. \NAMECITE{Updates}{% Beckermann:2018:LRU% }. \NAMECITE{Updating}{% Ipsen:2005:CAP,% Ipsen:2006:CAP% }. \NAMECITE{Using}{% Ipsen:1984:PMU% }. \NAMECITE{Utah}{% Lewis:1994:ALA% }. \NAMECITE{Value}{% Chandrasekaran:1994:BEE,% Chandrasekaran:1994:SVD,% Drineas:2019:LRM,% Eisenstat:1993:RPT,% Eisenstat:1995:RPT,% Ipsen:1984:SVD% }. \NAMECITE{Values}{% Chandrasekaran:1994:DCA,% Chandrasekaran:1995:AQA,% Chandrasekaran:1995:AAC,% Ipsen:1998:RPR% }. \NAMECITE{Vector}{% Eisenstat:1994:RPB,% Ipsen:2011:ECD% }. \NAMECITE{view}{% Bartels:2019:PLS% }. \NAMECITE{{VLSI}}{% Delosme:1987:ESA,% Ipsen:1983:SMC% }. \NAMECITE{{Wielandt}}{% Ipsen:1996:HWC% }. \NAMECITE{Workshop}{% Cullum:1986:LSE,% Ipsen:2006:SIP% }.