Bibliography of the Book Matrix Computations
Original authors:Gene H.Golub
(Stanford University)
Charles Van Loan
(Cornell University)
B ib T E X conversion by
Chris Paige
Clement Pellerin
(McGill University)
L a T E X wrapper and prettyprinting by
Nelson H.F.Beebe
Center for Scientific Computing
Department of Mathematics
University of Utah
Salt Lake City,UT84112
USA
Tel:+18015815254
E-mail:Beebe@math.utah.edu(Internet)
14March1995
Version1.06
Abstract
This bibliography is from the book Matrix Computations,Second Edition,by Gene H. Golub and Charles F.Van Loan,The Johns Hopkins University Press,Baltimore,Mary-land21218,1989.
The original bibliography was prepared by Charles Van Loan(Computer Science,Cornell University,Ithaca,NY14583).It was cor-rected,edited,and put in B ib T E X format in September1990by Chris Paige and Clement Pellerin(Computer Science,McGill Univer-
sity,Montreal,PQ,Canada H3A2A7).Send any corrections by e-mail to to Charles Van Loan at ll.edu.
This wrapper,and the prettyprinting of the bibliographyfile,were supplied by Nelson H.F.Beebe(University of Utah).
The master bibliography is available from the netlib service;to fetch a copy,send e-mail to v with the text send gvl.bib from bib.
This prettyprinted version is available from the tuglib service;send e-mail to tuglib@-math.utah.edu with the text send gvl.bib 1
Golub and Van Loan:gvl.bib2
from tex/bib.
Title word cross-reference (A−λB)x=0[Sch74].−1[KW87].
A[PW69,You72].
A−λB[K˚ag85,K˚ag86,TW70].
A=1+H[Buc74].{a ij}[Asp59].
a ij=0[Asp59].
AX+XB=C[BS72,GNL79].
AX−XB T=C[Bye84].
Ax=λBx[Erd67,GUW72,MW68c,PW69, PW70a,Rod73,Ste72,Ste75b].
Ay=λBy[TW72].B[PW69]. [Hoc83].
H[Buc74].ijk[OR88].j>i+p[Asp59].
k[NV83].L1[BCS78,BR73,CP76].
L2[GV74].L∞[BCC78].
M[Bar87,MdV77].N[JH88].
O(n2)[Dor73].R N[Bj¨o88].
f p(A)X
g p(A)[WZ72]. A−1 [Var76].
-[OS81].-Cube[JH88].
-Matrix[Bar87,MdV77].-Scaling[GV74]. -Solutions[CP76].-step[NV83].
100[LV75,NV75].10P[DD88].
2[CDH84].200/VF[DD88].
3090[DD88].3090-200[DD88].
3090-200/VF[DD88].
4[DH86].400[KL88].
Accelerating[Ste69].Acceleration[YJ80]. Accuracy[Don83,DMW83,Hig88a,Pai80, Rob77,Sco85,War77].Accurate[DK88]. ADI[CMdP84].Adjoint[GK69]. Advances[Wil77].after[Ruh69b].
Aid[LO83].
Algebra[CDH84,DJK+88,DCHH88a, DGK84,DH86,DS86,FF63,FF77,Fox64,GJM87,GJMS88,Gol74,Hag88,Hel78,
Hig85,Joh87a,Kah66,Kan66,Lau85,
LHKK79a,LHKK79b,Leo80,Mir55,ND77, Str88,Wil77,WR71,DCDH88,DCHH88b]. Algebraic[AL84,Bye83,FM67,Nas75, Rob77,Wil63,Wil65a,Wil68c,vdS70]. Algebraically[Cul78,CD74].
jessica cambensy
Algorithm[AC84,APP88,AL73,AL85,林俊杰的图片
AC76,Bai88a,BP75a,BR73,BS79,Bj¨o84, BB71,BG84b,BG69,Bye86,Cha82a,
Cha82b,CD87,CP77,CVD88,Cra86,CD74, CWL83,Cyb80,Cyb84,DT71,DCHH88a, DE84,DS87a,Dub70,DMW68,Eld84,
Eld88,FH72,GJMS88,GPS76a,Gol74, GUW72,Gra86,Gre81,HL69,Hel76,HP78, Hua81,HV88a,HV88b,HVH87,JP71,
K˚ag86,KR80a,KR80b,Kar74,Kau74,
Kau77,Ker82,LH69,LHKK79a,LPS87,
Loa75a,MPW70,MRW70,MW68b,MP82, MS73b,ML82,Nan85,O’L80a,Paa71,Pai76, Pai80,PD86,PS78,PS82a,PS82b,Par65, Par66,Par68,Par80a,PR81,PS79,PSS82, Ros69,Ruh69a,Saa82,SS86,Sco79b,SB79, Sim84,Ste70,Ste76a,Ste79a,Ste85,Sto73, Swa79,Swe74,Swe77,Tre64,War75,Wat73, Wat82,Wil68b,Wil79,Win68,Zoh69]. Algorithmic[CdB80].Algorithms[AL84, BG76,BS86,Bis88b,BE73,BMRW68,
Bre70,Bud64,Bun87,Bye83,Cal86,CDH84, CW77,CW85b,CW85a,Cyb78,DGKS76, DGK84,DH86,DSS86,Doo83,DGR79, EHHR88,Eld77a,FOH87,GR84,GPS76b, Hea78,Hel78,Hig86b,Hig87b,JH87a,JH88, KNP87,KNP88,KP74,Knu81,Kub61,
Lew77,Loa73,Mod88,MvdV87,O’L76,
OS85,Pai81,Par71,Pry85,Ris73,Ruh79, Sam71,SHW86,Wil65b,Woz80].未来的进击
Allowing[SS79].
Almost[Ruh75,Wed73a,Wil68a]. Alternating[CJZ83,JH87b].
Alternative[MC86].Among[Par76]. Analogue[Fra61].Analyses[Mei83]. Analysis[Abd71,APP88,AL85,Bel70, Bj¨o87,Bre70,Bun71a,CdB80,Cyb78,
Golub and Van Loan:gvl.bib3
Dem88,Eld77b,Elm86,FNO87,Gen73a,
GL80,Gre52,HN81,Hig87b,Hig89,Hoa77, Hoc65,Hot57,Hou74,Huf87,IP87,JO74, KP74,Kie87,Loa83,MS78,MM83,NV83, Ort72,Pai73,Pai76,Pai79a,Par71,Ple86, Pry85,Sco78,Sim84,Sor85,Sun83,Var62, Wil61,Wil68c,Wil71,Woz80,dBP77]. Analyst[Dem83b].Angles[BG73]. Application[ES86,FU69,JO71,Kau79, Loa77a,McC72,Ris73,Sch09,Ste80]. Applications[AG87,AG88,Bar87,BS68, Fox88,Fra64a,Fra64b,GLR86,GT81,HL69, Hig86a,Hig88d,Hig88e,LH69,Leo80,Loa73, Nas76,Opp78,RW72a,Str88,TG81,Van71, Var73].
Applied[Hag88,HY81,ND77,Ple86]. Applying[PR68].Approach[CdB80,
Doo81b,HV87,KP81,KM86a,McC72]. Approaching[DH86].
Approximate[AP86,KPJ82,OP64,Ste71]. Approximating[DGR79,Loa84]. Approximation[BR73,GHS88,Gre52,
Loa77a,Saa86].Approximations[FL70]. Arbitrary[HS88,Hua75,JH87a,Lot56, Ruh68,Sch79,Swe77].
Architectures[Bis87,Joh84,Joh85,Joh86, Joh87b,JH88,Kun82].Arguments[Var76]. Arising[Saa86,Var72].
Arithmetic[Gre81,KM86b,Ste81a,Yoh79]. Array[BL86,KB84,Luk86b,Sch86]. Arrays[AC84,BL85,ES86,GK82,ST86, SHW86].Art[IP87].Aspect[Nic74]. Aspects[Hel76,Lau85,Ruh79,Ruh83,
Rut69].Assignment[MP82,OS86]. Associated[HVH87,Ste73b,SW80]. Asymptotic[Ste84a].aufzul¨o sen[Jac46]. Augmented[Cox81].Automatic[KdV77]. Average[TS87].Axis[EY39].斜当
Backward[ADD88,dBP77].
Balancing[PR69,War81].
Band[All73,Boh75,CKS78,CS87,Cox81, Cra73,JO77,Joh86,MRW70,MW65,MW67, PW69,Rei67,Ruh79,Sch68,Sco84,Tre74].Banded[DS84,Eld84,Joh85,WAC+88]. Bandwidth[Cut72,GPS76a,GPS76b]. Based[Cal86,CW80,HN81].
Basic[DCHH88a,Joh87a,LHKK79a,
LHKK79b,Par68,DCDH88,DCHH88b]. Bauer[Rut69].be[Bus68].
Behavior[Gre81,Ste84a].
Best[BB71,GV74].
Between[AR85,BG73].
Bibliographical[Ste76b]. Bidiagonalization[OS81,Pai74a,PS78]. Biharmonic[BD74].Bilineari[Bel73]. Binary[Ste81a].
Biorthogonalization[Saa82].
Bisection[BMW67].Bisectors[Par71]. Bj¨o rck[Hig87b].Bj¨o rck-Pereyra[Hig87b]. BLAS[DD88,KL88].B
LAS3[GJM87]. Block[AP86,BS79,Bis87,Bun76,Cal86, CGM85,CD74,Dem83a,DHS87,ER88,
FV62,Geo74,GLO81,GT81,GU77,Hel76, KB84,Mer85,Meu84,O’L80a,Ple86,Ris73, RW84a,RW84b,Saa80,SP87,Sco79a,
SHW86,SS87,Swe77,TG81,Uhl73,Und75, Var72,Wat73].Block-Oriented[Cal86]. Block-Tridiagonal[Var72].
Boolean[JH87a,JH87b,JH88].
Both[Mad59].Bound[PNO85,Var75]. Boundary[FU69].
Bounding[Sco85,Var76].
Bounds[AK75,Boh75,Bro73,CR79,Des63, FL74,Hen62,K˚ag77a,KPJ82,Lem73,OP64, Ruh70a,Ste71,Ste73b,Ste77b,Ste79c,
SW80,Var68b,Wed72].
Calculating[BK77,GK65,Ste75c,Ste76a]. Calculation[BMW67,BS70,CGP76,GW69, KG83,LS78,MW
67,PR69,PW71,Var68a]. Calculations[FF77,Fos86,JMP83,TW72]. Calculus[Dav73].Can[Bus68,Pan84]. Canonical[Dem83b,Doo79,GW76,MW31, Par67,TA61,Uhl76,Wil78,Wil79].
Case[TS87,Wed73a].CDC[LV75].
CDC-STAR[LV75].Certain[All73,
Buc77,HZ68,JO77,Ste73b,Var72].
Golub and Van Loan:gvl.bib4
Chains[Bar87,GM86].Changes[SS79]. Characteristic[Hou68,Lot56,Sch09]. Characterization[GV74].
Characterizing[Hoc83].
Chebychev[BP75a,GO88,GV61]. Cholesky[BBDdH87,GH85,GHL86,
HHP88,Hig89,Kie87,Man79,Mei83,ST86, Ste79a].Choosing[GHW79].
Circle[FV62,Sco85].Circulant[Cha88]. Class[Eis84,MP74,Ros69,Ser80,WG78, Wid78,Woz80].Class
es[Bud64].
Cline[BCC78].Close[Wil68a].
Closed[Ste71].Closeness[Ruh75]. Closest[Pea01,Ruh87].
Clusters[CD87,Kah67].Coarse[Bis88b]. Codes[Hig88d].
Coefficient[Kog55,MdV77].
Coefficients[OP64,Ste77c].
Collection[DH84].
Collinearity[HV87,Ste87].
Column[Dav86,Fos86,Ste84b]. Combination[Cra86,CM83,War75]. Combinations[Bau65,Mah79]. Comments[Huf88].
Communication[GR84,Joh87a,SS85a]. Compact[Bun69].Comparison[BG76, DR76,GPS76b,GWM76].
Compatibility[OP64].
Complement[Cot74].Complete[Kub61]. Complex[AL73,AL76,BMPW66,BGG88, BG69,Ebe70,Ebe71,FH60,Fro65,Hig88d, KR80a,KR80b,MW68b,Mue66,Saa86, Sea69,Ser80,Var68a,Var68b].
Complexity[GR84,Mil75].
Computation[BLL85,Cha85,Cul78,
CW79,Doo79,Eld85,FG86,Giv58,Gol69, GW76,Jen77b,JP71,K˚ag77b,KR80a,
KR80b,Mod88,Pai71,Par74a,Ruh79,
Rut69,SP87,War77,WG78,Wra73,Wra75]. Computational[FF63,Kan66,KF64,
Mil75].Computations[BR76,CL88,
CW85b,CW85a,DHS87,FMM77,Gen73b, GL89,Joh87a,Lau81,Lau85,Luk78,Mol86, OS85,Pai79b,Ple86,Ric81,Rod82a,Rod82b,Ste73c].Compute[GM86,ML78]. Computed[Don83,DMW83].
Computer[CMR88,FM67,FMM77,GL81a, KM86b,LV75,NV75,Pai79a,Sam71]. Computers[DKH86,DS86,Hoc83,HJ88, KB84,Meu84,Meu89,OV85,PO87,Sch87]. Computing[AK75,Bai88a,BS79,Bis88a, BL86,BB71,BG73,Cha82a,Cha82b,CP77, CVD88,CD74,CWL83,CL86,DK87,FH60, GMS75,GLO81,GU77,HLPW86,HS86, Hen58,Hig86a,Hig87a,Hig88b,HVH87,
K˚ag86,Loa78a,Loa85a,Luk80,Luk86a,
Luk86b,Pai81,Pai86,PD86,Sch87,Sco84, SB79,Ste76d,Ste83,Ste85,Var70a,Hig86b]. Concepts[AS83].Concerning[PT57]. Concurrent[AS83,DSS86,FJL+88]. Condensed[DHS87,DR75].
Condition[AR85,Bro73,Bye84,CP77, CCL82,CMSW79,CR83,Dem83a,FL74,
GL81b,Hag84,Hig87c,Hig88d,Lem73,
Loa87,Loi69,O’L80b,Ric66b,Saa86,Smi67, Ste80,vdS69,vdS70,Hig86b].
Conditioned[Eld77a,Eld84,Eld85,FH72, Gau75b,GW76,PW79,Ruh70b,Var73,
Wil72].Conditioning[MS73a].
Conditions[FM84].
Conference[Hea86,KR83].
Configured[JH87b,JH88].
Confluent[BE73,GP71].
Conjectures[Dem87a].Conjugate[Ada85, Ash87,AMS88,Axe80,Cli76b,CGM85, CGO76,CW77,CW80,JT87,Eis84,FM84, Gin71,Gre81,Hes80,HS52,JY83,Jen77a, JMP83,Jor84,Mel87,Meu84,O’L76,
O’L80a,Rei71b,Rei72,RW72b,Sea86,
Ste73a,Ste75a,Woz80,YJ80,vdSdV86]. Connected[BLL85].Connection[Wed72]. Conquer[Cup81,KM86a].
Considerations[AGG88,Wra73,Wra75]. Consistency[vdSV79].
Consistent[BV68,Nic74,You72]. Constrained[BNP88,Bj¨o84,Eld77b,Eld83, Hea78,KP81,Loa83,Loa85c,SS79,Dem87c]. Constraint[Gan81].
Golub and Van Loan:gvl.bib5
Constraints[Eld80,GU70,Mer85]. Construction[EN83,BPS86a,BPS86b]. Control[DJK+88,DK88,Lau85,Loa82]. Controllability[Pai81].
Convection[CMdP84].绝情歌
Convection-Diffusion[CMdP84]. Converge[Sco79b].
Convergence[AL73,AR85,Bai88a,BP75b, GO88,Har82,Hen58,HP78,Hua81,Jen77a, Loi72,PD86,Par65,Par68,Ruh67,Ruh68, Saa80,Sch64,SS87,Ste75a,Wil65b,Wil68b, You70,vK66,vdSdV86].
Coordinate[Sch74].
Corresponding[CD74,GLO81].
Cosine[SB79].Counter[CR83]. Counterexample[Dem87a].
Course[Ort72,Ort88].
Cray[Bai88b,Cal86,CDH84,DD88,DE84, DH86,Ker82,Sea86].Cray-1[Ker82].
Cray-2[Bai88b,Cal86,DD88].
Criterion[Kar74,Lev47].
Cross[Eld85,GHW79].
Cross-Validation[Eld85,GHW79].
Crout[For60,McK62].
Cryptograms[MM83].CS[Loa85a,Pai84]. Cube[JH87a,JH87b,JH88].
Cyclic[BP75b,DF76,EHHR88,FH60,
Han63,Hel76,Hen58,Joh84,RW84a,
RW84b,Swe74,Swe77,vK66,HZ68].
D[Enr79].DAP[MP85].
Data[AC76,CR79,FG86,GH84,Hoa77, OS85,SS85a,SS79].
Decomposition[AG87,AG88,Bai88a,
Bis88a,Bre70,BLL85,Bun82,BKP76,BG69, Cha82a,Cha82b,Cha84,CM88,CVD88, CMR86,Cup83,Eld88,Fos86,GR70,GT81, Ham85,HN81,Hig86a,Hig89,HS88,K˚ag85, Kar74,Loa76,Loa82,Loa85a,Luk80,
MPW65,MW65,Meu89,Nas75,Pai85,
Pai86,PD86,PL81,PS81,Par67,Phi71,
Ris73,Ste83,Ste85,TG81,WAC+88,Wed72]. Decompositions[BS86,BGG88,Gen73a, Gol69,HI83,Pai84,Ste84a].Deficient[Wed73a].
Definite[AR85,BR70,Cra86,CM83,CL86, DI86,GL81a,GL79,MPW65,MPW66,
MW65,Nic74,PR70,Ste79c,Sun82,Hig89]. Definitions[Rin55,Doo83].
Deflated[Cha84].
Deflation[Bus71b,Ste81b].
Degeneracy[GKS76,Ste84c].
Degree[FG65].Denelcor[DH84].
Dense[BS86,DGK84,DH86,ISS86,Kau79]. Descent[Cli76a].
Design[GJMS88,GR84,Lau85,Lev47]. Determination[Ruh69a].
Determined[DR76,Var70a].
Developing[DS87b].
Diagonal[Bun71a,Var76,Wil68a]. Diagonalization[BS79,Ebe71,GH59,
Kog55,MP85,PT57,Sea69,Uhl73]. Diagonalize[Dem83a].
Diagonalizes[AL73].
Diagonally[FV62,FNP82].
Diagonals[MRK76].dif[KW87].
Difference[She55,Var72].
Differentiable[BCS78].
Differential[CGO76,DNT83,Lan50,
Meu89,Nan85,OV85,Var61,Wil78].
Differentiate[GM86].
Differentiation[GP70,GP73,GP76].
Difficult[Dem88].Diffusion[CMdP84]. Digital[KM86b,Opp78].
Dimension[Swe77].
Dimensional[Fro65,Hal58].
Direct[BCC78,BP71,BD74,BDGG71, BGN70,CG73,Dor70,Dor73,DER86,
Hoc65,JO74,SS73,Wil61].
Direction[CJZ83,Hes80,JH87b,Ste73a]. Directions[JT87].Discrete[BR73, BDGG71,Dor70,Dor73,ES86,SS73]. Discretizations[OS81].Disk[SS73]. Dissection[Geo73].Distance[Dem87b]. Distributed[Bis88a,Bis88b,EHHR88,
HR88,LC88,Mol86,PJV87].
Distributed-Memory[LC88].
Divide[Cup81,KM86a].Divisors[Wil84].
Golub and Van Loan:gvl.bib6
Domain[Meu89].Dominance[Var76]. Dominant[FV62,FNP82].
Downdating[BBDdH87,HHP88,Ste79a]. Dubious[ML78].Durbin[Cyb80].
华晨宇爸爸
E.[Enr79].Eberlein[Har82].
Eckart[GHS88].
Eckart-Young-Mirsky[GHS88]. Economical[Ste76c].Effect[Ske81].
Effectiveness[Pai80].
Effects[LS78,Ste77c,Ste79a].
Efficient[CVD88,CG73,Eis84,Enr79,
Hig86b,HVH87,Joh87a,LS78,Lau81,
MP85,Ruh78,SL89,Ste80,Sto73,Mel87]. Eigendecompositions[DK87]. Eigenproblem[AL84,BE68,BNS78,
Cup81,Ebe70,MW68c,Nas75,Pai80,
PW70a,Ruh70b,Wil72].
Eigenproblems[Jen72,PR81,Und75]. Eigensolution[JS75].Eigenspace[CD74]. Eigenstructure[Doo81a].
Eigensystem[GBDM72,SBI+70,Var68b, Var70a,WG78].
Eigensystems[GW76,KPJ82]. Eigenvalue[AGG88,Arn51,BW73,BS70, BS86,BG78,BL85,BG84b,CJ71,Cra73, Cra76,CW85b,CW85a,CW86,CL86,
DNT83,DHS87,DKH86,DS87a,Doo81b, ES82,ER80,FH72,Fri75,Fri77,FNO87, Gol73,Gup72,Jen77a,JO77,KdV77,Kau74, Kau77,Kub61,KF64,Lan50,Lew77,LPS87, Loa75a,McC72,MS73b,Paa71,Par80b, PSS82,PW69,Rod73,Ruh74,Rut58,Sch86, Sco79a,SHW86,Smi67,Ste72,Ste73b,Ste74, Ste75b,Ste76b,Ste78,Ste79c,SW80,War81, Wil65a].Eigenvalues[BMW67,Bud64,
CP77,CJ70,Cul78,CD74,DMW83,
GWDF88,GU77,Hen58,Kah67,KM86a, Loa84,Loa87,MW67,Pai71,Pai74b,PNO85, PR69,Ruh70a,Ruh75,Ruh79,SLN75,
Sco84,Ste76a,Van71,Wil68a,vdS75a]. Eigenvector[BS70,SW80].
Eigenvectors[Bud64,CP77,CJ70,DK70, DMW83,GWDF88,Loa87,Pai71,PR69,PW71,Sco84,Ste69,Ste75c,Var68a]. Eigenwerteinschliessungen[Leh63]. EISPACK[GBDM72,SBI+70].
Element[Geo73].
Elementary[CdB80,Gou70,Wil84]. Elements[Par76].
Elimination[Bau65,Boh75,Bro73,Bus71a, Cli73,Coh74,CMR88,Cry68,DK77,DP88, Geo74,HH89,Ple74,Rei71a,Ske79,Ske80, Sor85,Str69,TS87].Elliptic[BPS86a,
BPS86b,CG73,CGO76,She55,Wac66]. Engineers[Jen77b].Ensemble[Joh84,
Joh85,Joh86,Joh87b,JH88].
Environment[DS87b].
Equality[BNP88,Eld80,Loa83,Loa85c]. Equality-Constrained[Loa83].
Equation[BS68,BS72,BD74,BDGG71, Bye83,Bye84,Cal86,CMdP84,DF76,DH84, Dor70,Dor73,Erd67,Hoc65,KNP87,
KNP88,KW87,Sto75a,Sto75b,SS73,WZ72]. Equations[AL84,Axe77,Axe80,Axe85, BG76,BP75a,Bau65,Bj¨o87,Bj¨o88,BP70, BMPW66,Bun85,BP71,BGN70,Cli76a, CG73,CGO76,Cox81,Cyb80,DNT83,
DS83,Doo81b,DR76,ED83,Joh84,Kog55, Lan70,MP74,MPW66,MW67,MdV77, Meu89,Nan85,OP64,OV85,Pai73,Pai74a, PS75,PS78,PS82a,PS82b,Par80a,PR70, PW79,Rei67,Rei71b,Rei72,Rob77,RO88, Ros69,Sch09,She55,Smi70,Ste73a,Ste81b, Sto73,Swa79,Var61,Var72,Vet75,Wid78, Wil78,dV77].Equilibration[Bun71b,
McK62,Ske81,vdS69,vdS70].
Equivalence[CW77,Dem83a,Rin55]. Ergodic[Bar87].
Error[Abd71,ADD88,AL85,Bre70,Cyb78, Gen73a,Hig87b,JO74,Kie87,Lev47,Mad59, Mei83,OP64,Pai73,Pai76,PNO85,Pry84, Pry85,Rob77,Ste71,Ste73b,Ste79a,SW80, Wil61,Wil68c,Wil71,Woz80,dBP77]. Errors[Boh75,Coc68,HV87,HS66,LS78, Ste77c,Wil63].Estimate[BB71,CMSW79, HZ68,War77,GM86].Estimates[Dem87d, Gau75a,Hag84,Kan66,Rob77].