A Bibliography of Publications of Gilbert Wright 'Pete' Stewart

A Bibliography of Publications of Gilbert Wright ‘Pete’ Stewart III

Nelson H. F. Beebe University of Utah Department of Mathematics, 110 LCB 155 S 1400 E RM 233 Salt Lake City, UT 84112-0090 USA Tel: +1 801 581 5254 FAX: +1 801 581 4148 E-mail: [email protected], [email protected], [email protected] (Internet) WWW URL: http://www.math.utah.edu/~beebe/ 28 January 2019 Version 1.19

Abstract 1 [LS95]. 10-16 [BF90]. 13-17 [IEE02]. 15th [GW94]. 18th [BS86]. 1967 [DH69]. This bibliography records publications of 1974 [Mil75]. 1975 [BR76]. 1976 [HW76]. Gilbert Wright ‘Pete’ Stewart III. 1977 [Ric77]. 1978 [DS79, dBG78, Ple81]. 1982 [KR83]. 1983 [ICH84]. 1985 [All86]. 1986 [BS86, IP87]. 1988 [ER88]. 1991 Title word cross-reference [IEE91]. 1992 [MGD93]. 1993 [BCEP94, GW94].

AX + XB = C [BS72]. Ax = λBx 2002 [IEE02]. 2nd [Ste95g]. [MS71, Ste72, Ste75b]. B [Ste10b]. CS [Ste82]. LU [Ste93f, Ste97d]. n [Ste16a]. QR 384 [Ste70a, Ste70e]. [CPS97a, CPS97b, DGKS76, MS93a, MS93b, Ste77b, Ste84a, Ste87d, Ste92a, Ste93f, 432 [BS72]. Ste94d, Ste95c, Ste98d, Ste99b, Ste10a]. ULV [Ste93h]. URV 506 [Ste76a]. [AGS91a, AGS91b, GS91, GBS92, LOSW93, LOSW94, Ste91e, Ste94i]. UTV [Ste94a]. 776 [BS97].

-algorithm [Ste87d]. -Arnoldi [Ste10b].

1 2

844 [BPS05]. 879 [LS09]. 8th [ER88]. [GHS87, GHS88, Ste99c]. Approximations [Ste67b, Ste98d, BPS05, Ste99b, Ste01a]. 92 [IEE92]. April [HW76, IP87]. architectures [BCcC+88]. Argonne [BR76]. Arithmetic = [GS95]. [Ste09a]. Army [BF90]. Arnoldi [Ste00a, Ste09b, Ste10b]. ARPACK A. [Ste79d]. Academy [Mil75]. [Ste00a]. Arrays [OS87]. arrival Accelerating [Ste69a]. Accept [Ste67b]. [AGS91a, AGS91b]. Arrowhead [OS90]. Accuracy [Ste97a]. ACM [BS72, Ste70a]. Art [IP87]. Artiﬁcial [AMPS83]. Asilomar Acoustics [IEE91, IEE92, IEE02]. adaptive [Che91]. Aspects [DH69]. Assignment [LOSW93]. Addendum [Ste02a]. Adjugate [OS86]. Associated [Ste73b]. Asymptotic [Ste98b]. Adjustable [Ste09a]. Adjusting [Ste84a]. August [MGD93, Ros74]. [Ste02b]. Advanced [MGD93, Kin99, Ste98f]. Advances B [Cam81, Par81]. Backward [SGW+89, dBG78, GGL94, vH97]. after [Ste69e, Ste02c]. Band [RS98]. Bartels [Ste96]. Afternotes [SMC08]. based [AMPS83, LOSW93]. [Ste96, Ste98f, Kin97, Kin99, Ser97]. Bases [Ste88a, Ste12]. Basic [Ste98g]. Aggregated [Ste83a]. Alamos [TTB+88]. Basis [GMS+85]. Bau [Ste99a]. Bauer Algebra [DH69, HS87, MGD93, Ste88b, [FGH+06]. be [Ste81a]. Behavior MP93, Ste99a]. Algorithm [BS72, BS79, [Ste84a, Ste80a]. Behavioural [SMC08]. GOS15, HC03, MS93a, MS93b, MS73, MS78, Belgium [MGD93]. Below [TTB+88]. Ste70a, Ste70b, Ste71a, Ste79a, Ste85a, Bibliographical [Ste76b]. Bigradients Ste01b, Ste02a, Ste05, MS71, MS72, SSM89, [HS69b]. Biography [Duf10]. Birmingham SMC08, Ste87d, Ste90g, Ste91e, Ste92c, [IP87]. Bit [TTB+88]. Block [BS79, MS93a, BS97, BPS05, FW82, LS09, Ste70e, Ste76a]. MS93b, Ste08, vMS94, Ste95e, vS96]. Book Algorithms [Fra95, Kin97, Kin99, Par81, Ser97, Ste93b, [DGKS76, Ste86b, Ste98d, Ste01c, BCcC+88, Ste97a, Ste99a, Ste00a]. Bounds OS85, Ste98g, Ste99b, Vac91, Ste97a]. [O’L90, Ste71b, Ste73b, Ste77b, Ste79c, Alston [Ste93a]. Ambiguity [SSS89]. AMS Ste83a, Ste91g, Ste98e, Ste02c]. Broad [BF90]. AMS-IMS-SIAM [BF90]. [RS98]. Broad-Band [RS98]. Bug analogue [CJ04]. Analyses [TTB+88]. Building [Ste03a, OPSW86]. [CPS96, CPS97a, CPS97b]. Analysis Bunch [Cam81, Par81]. Byte [TTB+88]. [IP87, SL68, Ste68, Ste69e, Ste69f, Ste71a, Ste92a, Ste05, Ste11b, dBG78, BF90, GW94, C [Cam81, Par81]. Calculate JS01, Mil75, Ste96, Ste98f, Vac91, Kin97, [BS92, BS97, Ste78b]. Calculating Ste93b, Kin99, Ser97]. Analysts [Ste97b]. [BS74, FW82, Ste75d, Ste76a]. calculation analytic [Ste71c]. Anecdotes [TTB+88]. [Ste90b]. calculations [Ste81b]. calculators Application [Ste80b, TTH+84]. [Ste81b]. California [Wou89, Che91, IEE92]. Applications Camille [Ste16a]. Canada [IEE91]. [MP93, MGD93, BF90, OS98, Vac91]. cancellation [LHS13]. Canonical [Ste16b]. Applied [MP93]. Approach [Ste00b]. capital [Ste87c]. Carl [Fra95]. Carolina approaches [AMPS83]. Approximate [BCEP94]. Case [Ste11c]. Centenary [Ste71b, Ste02c]. Approximating [BCEP94]. Center [Ric77, dBG78]. Centre [HC03, JS01]. Approximation [IEE91]. Certain [Ste73b]. Chains 3

[Ste83a, Ste84c, Ste90i, Ste90c, SZ91b, [Ste88a]. Curriculum [FGH+06]. Ste93d, Ste94e, SSM94, Ste97c, MP93, Ste93g, Ste95g, Ste95g]. Charles Data [OS85]. Data-flow [OS85]. David [Ste87e, Ste93b]. Cholesky [Ste99a]. Davidon [Ste67b]. Debugging [CPS96, Ste79a, Ste93f, Ste97d]. Classifier [TTB+88]. December [BCEP94]. [HBC+00]. Closed [Ste71b]. Coefficients Decomposable [SSM94]. Decomposing [Ste77d]. College [Ste96]. Collinearity [MS78]. Decomposition [GOS15, MS93a, [Ste86a, Ste87a, Ste87b]. Collins [BS86]. MS93b, Ste85a, Ste91f, Ste93e, Ste93h, Colorado [BS86]. column [Ste84b, Ste90b]. Ste99c, AGS91a, AGS91b, GS91, GBS92, combination [Fra95, GS95]. HC05, LOSW93, Ste82, Ste83b, Ste90e]. combinationis [Fra95, GS95]. Decompositional [Ste00b]. commentaries [KO10]. commentary Decompositions [Ste84a, Ste94a, Ste94d, [Ste11a]. Comments [HS69a]. Ste97f, Ste98c, Ste94i, Ste95c, Ste98g]. Communication [Ste86b, Ste90a]. Definite [OSV79, Ste79c, Ste81a]. companion [Ste71c]. Compilers [Ste76f]. Deflation [Ste81c]. Degeneracy complement [Ste95d]. Completely [GKS76b, GKS76a, Ste76c, Ste84d]. [SSM94]. Complex [Ste85b, Ste86c, Pri04]. Derivatives [MS88, Ste67b]. derived COMPSTAT [ER88]. Computable [Ste03b]. Detecting [Ste76c]. detection [Ste83a]. Computation [OSvdG89, Ste98d, [LHS13]. Determinacy [OS87]. Ste00b, CH90, OS85, Ste99b]. determinants [HS69b]. Determining computational [ER88]. Computations [Ste93c]. Developing [BR76, OSvdG86, Ste73d, Ste76f, Ste90a, [BDP+98a, BDP+98b]. Development Ste95g, Ste87e]. Computer [All86, HW76, [Cow84, Ste77c, TTH+84]. Diagonalization SGW+89, TTH+84, ICH84, All86, BS86]. [BS79]. Diagonally [BS74]. Difference Computers [Che91, OPSW86]. [Ste67b]. digital [MS79]. Dimensions Computing [ACM98, BS79, GOS15, HS87, [Ste16a]. Direct [SZ91b]. Direction OS90, SS74, Ste82, Ste85a, Ste88b, TTB+88, [AGS91a, AGS91b, Ste73a]. GSV86b, Ste76e, Ste83b, BPS05]. Direction-of-arrival [AGS91a, AGS91b]. Concerning [Ste88a]. Condition disks [Ste67a]. Division [CMSW79, Ste80b, SZ91a, Ste90b]. [Ste71a, Ste85b, Ste86c, Pri04]. Domain conditioned [Ste81a]. Conducted [RS98]. Dominant [Ric77, dBG78, DH69]. Conference [BS92, BS97, BS74, Ste78b]. DOMINO [BCEP94, Che91, GW94, IEE91, IEE92, [OSvdG86, OSvdG89]. Dongarra IP87, KR83, Mil75, BF90, IEE02, Che91]. [Cam81, Par81]. Downdates Congress [Ros74]. Conjugate [Ste94g, Ste95f]. Downdating [Ste73a, Ste75a]. Constrained [Ste81a]. [Ste79a, Ste10a]. Duff [Ple81]. Dundee constraints [Ste97e]. Constructive [GW94]. Dynamic [LHS13, SMC08]. [DH69]. Continuity [Ste69b]. Convergence [HC03, Ste70d, Ste74a, Early [Ste93e]. Eckart [GHS87, GHS88]. Ste75a, Ste94f, Ste98a, Ste09b, OS98]. Economical [Ste76d]. edited [Ple81]. Copenhagen [ER88]. Cornelius [BCEP94]. Editor [BCcC+88]. Effects [Ste77d, Ste79a]. Correcting [Ste76c]. Corrigendum Efficient [GOS15, Pri04, Ste80b, Ste98d, [Ste71d, Ste86c]. Crab [OPSW86]. MS79, Ste99b]. Eigenproblems Criterion [Ste09b]. CS [Ste16b]. Curiosity [Ste01b, Ste02a, LS09, OS98]. eigenspaces 4

[JS01, Ste12]. Eigensystems [Ste09a, LHS13]. Florida [IEE02]. ﬂow [Ste01c, Ste01d]. EIGENTEST [LS09]. [OS85]. Formulation [Ste69e]. Fort [BS86]. Eigenvalue [MS73, OSV79, Ste72, Ste73b, FORTRAN Ste74c, Ste75b, Ste76b, Ste78a, Ste79c, [BS92, BS97, Ste78b, FW82, Ste76a]. SZ91a, Ste00a, MS71, MS72]. Eigenvalues Foundation [BF90]. Four [Ste99b]. Fox [FW82, OS90, Ste70a, Ste70e, Ste76a, SZ91a, [MS78]. Francisco [IEE92]. FREDHOLM Ste91g, Ste98e, Ste04]. Eigenvectors [BS74, [Ste11a]. Friedrich [Fra95, FGH+06]. FTP MS88, OS90, Ste70a, Ste70e, Ste75d, Ste69a]. [Ste91a]. FTPing [Ste91b]. functions elementary [Ste96]. Elements [Ste74b]. [Ste71c]. Fundamental [DH69, Ste11a]. Elimination [Ste74b, Ste93d, Ste94b, Ste95a, Ste97f, Ste98c]. Elsner [Ste04]. G [Cam81, Fra95, Kin97, Kin99, LS95, Elsner-like [Ste04]. Enough [Ste11c]. Par81, Ple81, Ser97]. G. Environment [OSvdG86]. equality [Duf10, KO10, Ste11a]. Gauss [Ste97e]. Equation [BS72, Ste92b]. [Fra95, Ste94b, Ste95a]. Gaussian [Ste74b, Equations [GS76, Ste81c, Ste11a, Ste73a]. Ste93d, Ste94b, Ste95a, Ste97f, Ste98c]. Error [Ste69e, Ste71a, Ste71b, Ste73b, Gene [Ste87e]. General [Ste91c]. Ste79a, Ste83a, Ste86a, Ste92a, Ste93c, Generalization Ste05, BF90, Fra95, GS95, Ste80a, Ste02c]. [GHS87, GHS88, Ste67a, Ste73c, Ste01a]. erroribus [Fra95, GS95]. Errors [HS72, Generalized [GOS15, MS73, SS74, Ste69b, Ste77d, Ste97b, vMS94, Ste90d, vH97, vS96]. Ste75b, Ste76b, Ste78a, Ste79c, Ste92b, errors-in-variables [vH97]. ESPRIT MS71, MS72, Ste83b, Ste04, Ste06]. [LOSW93, LOSW94]. Essay [Ste16a]. Generation [Ste80b]. generator [LS09]. Estimate [CMSW79]. Estimating [OSV79]. Geometry [Ste16a]. Gershgorin estimation [AGS91a, AGS91b]. [Ste67a, Ste75b]. given [MP93]. goes Estimators [Ste80b]. Example [Ste86b]. [Kin99, Ste98f]. Golub [Ste87e]. Graded EXCHNG [FW82, Ste76a]. Excitement [SZ91a, Ste94d, Ste95c, Ste01d]. Gradients [HS72]. Expansion [SS93, Ste84e]. [Ste75a]. graduate [Kin99, Ste98f]. Gram Exponential [Ste92a]. Extraction [RS98]. [DGKS76, Ste05, Ste08]. groups [SSS89]. Extreme [Ste75a]. Grove [Che91]. Guide [DBMS79, Ste00a, Cam81, Par81]. F [Ste87e]. F2 [FW82, Ste70a, Ste70e, Ste76a]. F4 [BS72]. H [Ste87e]. hand [Ste81b]. hand-held fact [Ste96]. factoring [Ste81b]. Hankel [HS69b]. harmonic [HS69a, Ste69c, Ste70c, Ste73c]. [CJ04]. Harvard [HW76]. Havsbad Factorization [KR83]. heat [SL68]. Held [CPS96, CPS97a, CPS97b, DGKS76, HS71, [KR83, BF90, DS79, ER88, GGL94, IP87, OS86, Ste77b, Ste79a, MS79, Ste91e]. MP93, Ste81b, Wou89]. Hermitian Factorizations [Ste93f, Ste10a]. Factors [Ste69a, Ste76e, Ste85a, Ste91g, Ste98e]. [Ste97d]. Fan [Ste67a]. Fashioned [Ste03a]. Hessenberg February [ACM98, GGL94]. ﬁfth [Che91]. [FW82, Ste76a, Ste95e, vMS94, vS96]. File [Ste91a, Ste91c]. Finding Hessians [Ste81a]. hierarchical [AMPS83]. [Ste69d, Ste70d, Ste71d, Ste80a]. First High [ACM98]. High-Performance [TTB+88, TTH+84]. Flap [Ste09a]. [ACM98]. Higham [Ste97a]. HILBERT Floating [Ste09a, LHS13]. Floating-Point [Ste11a]. History [Ste93e]. Horn [Ste93b]. 5

Hotel [All86, IEE91]. Householder [Ste16a]. July [GW94]. June [MS78, Ste79d, Ste93a]. HQR3 [BF90, DH69, GW94]. [FW82, Ste76a]. Hyatt [DS79]. Hyperbolic [SS98]. hypergeneralized [Ste06]. Kentucky [All86]. Kernels [RS98]. Knoxville [DS79]. Krylov Iain [Ple81]. IBM [DH69]. ICASSP [Ste02a, Ste01b, Ste02c]. [IEE91, IEE92]. ICASSP-91 [IEE91]. ICASSP-92 [IEE92]. Identiﬁcation Laboratory [BR76, DH69]. Lanczos [HS72]. IEEE [IEE02]. IFIP [Ros74]. II [BCEP94, Ste91d, Ste94c, Ste02b]. Large [Mil75, Vac91, Ste73c, Ste01c]. III [MGD93, Ste74c, Ste76b, Ste00a, Ste01b, [Ric77, Ste99a]. IMA [GGL94, IP87]. Ste02a, LS09, OS98, Ste90a]. Large-Scale IMA/SIAM [IP87]. image [MS79]. [Ste00a, LS09]. Largest [OSV79]. Latin Impacts [SGW+89]. implementation [Fra95]. Laurent [SS93]. leaks [Ste03b]. [Ste87d]. Implementing [SSM89]. Implicit Learning [HBC+00]. Least [Ste81c]. Implicitly [Ste00a]. Impossible [GKS76b, GKS76a, Ste77a, Ste87a, Ste87b, [TTB+88]. IMS [BF90]. Incorporating Fra95, GS95, Ste75c, Ste90d, Ste97e, vH97]. [Ste70b]. Incremental [Ste90b]. lectures [Kin99, MP93, Ste96, Ste98f]. Independent [Ste77d, Ste80a]. Lehmer [Ste71d, Ste69d]. Letter Inequalities [Ste95b, Ste90h]. Information [BCcC+88]. Leuven [MGD93]. Lexington [Ros74]. Input [HS72]. Institute [All86]. libraries [BDP+98a, BDP+98b]. [HW76, MP93, MGD93]. Integers [Ste88a]. Like [Ste85a, Ste04]. Linear Integral [Ste11a]. intelligence [AMPS83]. [DS84, HS87, MP93, Ste71b, Ste77a, Ste77d, Interface [All86, BS86, HW76]. interior Ste81c, Ste88b, Ste95b, Ste73a, Ste75c, [SSM89]. International [BCEP94, IEE91, Ste90h, Ste91d, Ste94c, Ste97e, Ste99a, IEE92, ICH84, Ste95g, IEE02]. MP93, MGD93]. LINPACK Introduction [Ste73d]. invariance [DBMS79, DS84, Ste77c, Cam81, Par81]. [Ste84b]. Invariant Lloyd [Ste99a]. Loan [Ste87e]. local [BS92, BS97, Ste71b, Ste78b, Ste87c, Ste76e]. [Ste12]. low [HC05]. low-rank [HC05]. LP Invention [TTB+88]. Inverse [SSM89]. Ludwig [FGH+06]. [SS74, Ste69b, Ste75c]. Inverses [O’L90, Ste77a, Ste89]. Irish [Mil75]. M [LS95]. M/G/1 [LS95]. Madison Isolated [Ste75a]. Italy [ICH84]. Iteration [Ric77, dBG78]. March [ACM98, All86, [Ste75d, SSM94, Ste69a, Ste70c, Ste76e]. BS86, GGL94, IEE92, KR83, Ric77]. Iterations Markov [MP93, Ste95g, Ste83a, Ste84c, [Ste74a, Ste94f, HS69a, Ste69c, Ste73c]. Ste90i, Ste90c, SZ91b, Ste93d, Ste93g, Iterative Ste94e, SSM94, Ste97c]. Marriott [IEE92]. [KS99, SS74, Ste95b, GGL94, Ste90h]. Maryland [Ste96, OPSW86]. Massachusetts [HW76]. Mathematical J [Cam81, Par81, Ste97a]. Jacobi [Ste85a]. [Cow84, Ric77, ICH84, Ric77]. Jacobi-Like [Ste85a]. January Mathematics [MP93, Ric77, dBG78]. [MP93, Wou89]. Java Matlab [Ste09a]. Matrices [ACM98, BDP+98a, BDP+98b]. Jeep [BS74, MSS84, OS90, Ste70b, Ste75d, Ste80b, [Ste91c]. Johnson [Ste93b]. Joint SZ91a, Ste94d, Ste97f, Ste98c, Ste98e, [IP87, BF90]. Jonathan [TTB+88]. Jordan BPS05, HC05, Ste76e, Ste95c, Ste01d]. 6

Matrix November [Che91, DS79]. Null [BS92, BS97, BS72, BR76, CMSW79, DS79, [GMS+85, GOS15, Ste84b]. Number FW82, GHS87, MS73, OSV79, OS86, Ste70a, [CMSW79]. Numbers [SZ91a]. Numerical Ste70e, Ste73d, Ste76a, Ste76f, Ste77b, [HS87, HS71, IP87, Kin97, LS95, SS74, SL68, Ste78b, Ste81b, Ste85a, SS90, Ste91g, Ste93b, Ste68, Ste69f, Ste74c, Ste90i, Ste95g, Ste97a, Ste94h, Ste98b, Ste98g, Ste98d, Ste00b, Ste97b, Ste99a, Ste11b, dBG78, BDP+98a, Ste01c, LS09, MS71, MS72, MS79, OS85, BDP+98b, CH90, Kin99, Mil75, Ser97, Ste96, Ple81, Ste69a, Ste82, Ste90a, Ste95d, Ste99b, Ste98f, GW94]. Ste03c, KR83, Ste87e]. May [IEE91, IEE02, dBG78]. measurement Oblique [Ste11b, Ste11c]. obnoxiae [BF90]. medium [Wou89]. medium-scale [GS95, Fra95]. observations [Fra95, GS95]. [Wou89]. Memory [Ste76f, Ste03b]. observationum [Fra95, GS95]. Office Message [OSvdG86, Ste90a]. Method [BF90]. Old [Ste03a]. Old-Fashioned [GS76, SS74, Ste67b, Ste69d, Ste70d, Ste71d, [Ste03a]. one [GS95]. Ontario [IEE91]. Ste75a, SZ91b, Ste95b, Ste09b, Ste10b, JS01, Operating [OSvdG89]. Operations OS98, Ste73c, Ste83b, Ste90h, Ste97e]. [SGW+89]. operator [Ste71c]. Operators Methods [LS95, Ste75d, Ste02b, GGL94, [Ste71b]. optimization [AMPS83]. Order Ste73a, Ste00a]. minimis [Fra95]. [Ste84e]. Ordering [FW82, Ste76a]. Origin Minimization [Ste67b]. Minimum [SS93, Ste70b, TTB+88]. Orlando [IEE02]. [GBS92]. Minimum-norm [GBS92]. Orthogonal [Ste80b, Ste69a]. minimus [GS95]. Minneapolis [GGL94]. Orthogonality [ES93]. Orthogonalization Minnesota [GGL94]. MINRES [KS99]. [Ste08]. orthonormal [Ste82]. Mirsky [GHS87, GHS88]. modeling [vH97]. modelling [SMC08]. models [BF90, MP93]. Pacific [Che91]. Package [DS84, Ste09a]. Modification [Ste67b]. Modifying Padé [HS69b]. Pair [Ste16b]. paper [Ste74b]. module [OPSW86]. MOESP [Ste87c]. Papers [Ste11a, GGL94]. Parallel [SMC08]. Moler [Cam81, Par81]. Moore [BCcC+88, GSV86b, OS86, OSvdG86, [SS74]. Multiple [Ste74a, SZ91a]. OSvdG89, Ste86b, Ste88b, OS85, OPSW86, multiplicity [Ste80a]. Multipoint Ste87d, Ste94i, Wou89]. Parametric [HS72]. [Ste74a, Ste94f]. multiprocessors [Wou89]. Park [Ste96]. pars [GS95]. part MUSIC [GS91]. [GS95, MP93]. participatory [Ste87c]. partitioned [Ste82]. Passing N [Ste99a]. NASA [TTH+84]. National [OSvdG86, Ste90a]. Pencils [BF90, BR76]. NATO [MGD93]. Nearly [KR83, SS93, Ste94h]. Penrose [SS74]. [MSS84, Ste81c, Ste84c, Ste90c, SZ91b, Performance [ACM98, ICH84]. Periodic SSM94, Ste93g]. Network [ACM98]. [HS72]. Perturbation networks [SMC08]. neural [SMC08]. [CPS96, CPS97a, CPS97b, Ste73b, Ste77b, Nicholas [Ste97a]. Ninth [HW76]. Non Ste77a, Ste78a, Ste79b, Ste79c, Ste84e, SS90, [Ste85a, Ste76e]. Non-Hermitian Ste90d, Ste90e, Ste90f, Ste91f, Ste93d, [Ste85a, Ste76e]. Noninteger [Ste88a]. Ste93f, Ste94h, Ste97d, LS00, Ste75c, Ste91e, Nonlinear [GS76]. Nonsymmetric Ste93g, Ste95d, Ste04]. Perturbations [BS92, BS97]. norm [GBS92]. North [MS88, Ste03c]. perturbed [Ste84b, Ste12]. [BCEP94]. Note Phillips [RS98]. Pisa [ICH84]. Pite [KR83]. [Ste79b, Ste85b, Ste86c, Ste92b, Ste06]. Pivot [Ste74b]. Pivoted 7

[Ste98d, HC05, Ste99b]. Pivoting [SS98]. Ste78b]. Real-Time [MGD93]. record Plane [Ste76d]. plate [SL68]. Plaza [All86]. [Che91]. recorded [Ste96]. Rectangular Point [Ste09a, LHS13, SSM89]. Points [Ste94h]. reduced [BPS05]. reduced-rank [Ste75a]. Polynomial [HS71, Ste69d, Ste70d, [BPS05]. Reducing [BS79]. Refinement Ste71d, Ste71a, HS69a, Ste69c, Ste73c]. [MSS84]. refining [Ste91e]. Regency polynomials [Ste70c]. Positive [DS79]. Regression [OSV79, Ste95d]. posterior [GS95]. powers [Ste77d, Ste87a, Ste87b]. Regularization [Ste03c]. Precision [Ste09a]. Preface [KS99, RS98]. Rejoinder [Ste87b]. Related [GSV86a, Ste79d]. Presence [Ste97f, Ste98c]. relative [LS00]. reliability [Ste93c, Ste80a]. presented [Ste96]. prior [ICH84]. Reliable [CH90]. Remark [GS95]. Problem [Ste72, Ste75b, Ste76b, [FW82, Ste70e]. Reminiscences [TTB+88]. Ste78a, Ste79c, MS71, SL68, Ste75c]. Renaissance [IEE02]. Problems [GKS76b, GKS76a, GGL94, Reorthogonalization [DGKS76]. report MS73, Ste73b, Ste74c, Ste77a, Ste00a, [BCcC+88]. Reports [Ste91b]. AMPS83, MS72, Ste97e]. Proceedings Representation [GMS+85, Ste88a, Ste16b]. [All86, BS86, BR76, DS79, IP87, KR83, Requirements [HS72]. Research [DH69, MGD93, Ric77, Ros74, Wou89, dBG78, Ric77, SGW+89, Ste77c, dBG78, BF90]. BF90, DH69, ER88, GW94, IEE02, ICH84, Residual [Ste91g, Ste98e]. Resort [IEE02]. Mil75, Ple81, Ste95g, BCEP94, HW76]. Restarted [Ste00a]. results [CJ04]. Processing [IEE91, IEE92, IEE02, MS79, Revealing [Ste93h, AGS91a, AGS91b, Ros74, Vac91, Wou89]. Products GS91, GBS92, Ste91e]. Review [Ste94d, Ste95c]. Program [Cam81, Fra95, Kin97, Par81, Ple81, Ste87e, [Ste91a, TTB+88]. Projection [MS78]. Ste93b, Ste97a, Ste00a]. Reviews Projections [O’L90, Ste77a, Ste89]. [Kin99, Ser97, Ste99a]. revisited [Ste03b]. Projectors [Ste11b, Ste06]. Properties Ritz [CJ04, JS01, MSS84, Ste01a]. Roger [GMS+85, SS74]. Pseudo [Ste93b]. root [GS91, Ste80a]. root-finding [O’L90, Ste77a, Ste89]. Pseudo-Inverses [Ste80a]. root-MUSIC [GS91]. Rotations [O’L90, Ste77a, Ste89]. punishment [Ste76d]. Rounding [Ste87c]. Purpose [Ste91c]. [Ste69e, Ste79a, Ste86a, vMS94, vS96]. Royal [Mil75]. Rüschlikon [DH69]. QLP [HC03, HC05, Ste99c]. QR [Ste70b]. Quasi [Ste05]. Quasi-Gram [Ste05]. S [Ple81, Ste79d]. Saad [CJ04, Ste01a]. queueing [MP93]. Queues [LS95]. Samelson [Ste70c]. San [IEE92]. Scale Quotient [Ste02b, OS98]. [MGD93, Ste00a, LS09, Wou89]. Scaled [O’L90, Ste84a, Ste89]. Scaling R [Cam81, Par81, Ste93b]. Radisson [ES93, Ste86a, Pri04, Ste84b]. Scheduling [All86]. Raleigh [BCEP94]. Random [OS86]. scheme [Ste80a]. SCHMIDT [Ste80b]. Rank [GKS76b, GKS76a, Ste76c, [Ste11a, DGKS76, Ste05, Ste08]. school Ste84d, Ste93c, Ste93h, AGS91a, AGS91b, [Kin99, Ste98f]. Schur BPS05, GS91, GBS92, HC05, Ste91e]. [Ste02a, Ste85a, Ste95d, Ste01b]. Science Rank-Revealing [Ste93h, AGS91a, [BF90, HW76, All86, BS86]. Sciences AGS91b, GS91, GBS92, Ste91e]. Rayleigh [All86]. Scott [Ste93a]. Sebastião [Ste70d]. [JS01, MSS84, OS98, Ste01a, Ste02b]. Real Secant [GS76, Ste73c]. Second [Ste84e]. [FW82, MGD93, Ste70a, Ste70e, Ste76a, selected [KO10]. selection [Ste90b]. 8

Semideﬁnite [Ste10b, Ste95d]. Style [Ste91c]. subject [Fra95, GS95]. Semiorthogonal [Ste02b]. Sensitivity Sublinear [Ste98a]. Subroutine [Ste72, Ste77d, Ste90c]. September [BS97, Ste78b, BS92]. Subroutines [BR76, ICH84]. Sequential [Ste94g, Ste95f]. [FW82, Ste76a]. Subspace series [Ste96]. Set [Ste69e]. Seventeenth [BS92, BS97, Ste90g, Ste92c]. Subspaces [All86]. Sheraton [IEE91]. Shifting [BS79, Ste71b, Ste73b, Ste78b, Ste16b, LS00, [Ste71a]. Shifts [Ste70b]. SIAM Ste76e, Ste87c, Ste02c]. summer [BF90]. [BF90, IP87]. Signal supercomputer [SSM89]. supplement [IEE91, IEE92, IEE02, Vac91]. Signals [GS95]. supplementum [GS95]. support [Che91, LOSW94]. Silva [Ste70d]. Simple [BF90]. SVD [HC03, Vac91]. Sweden [Ste91g, Ste98e]. Simultaneous [KR83, Ros74]. Swift [TTB+88]. [Ste75d, Ste76e]. Singular [MS93a, MS93b, Switzerland [DH69]. Sylvester [Ste92b]. SS93, Ste79b, Ste81c, Ste84a, Ste84e, Ste91f, Symmetric [OS90, Ste70a, Ste70b, Ste70e]. Ste93e, Ste99c, LS00, Ste83b, Ste90e, Ste91e]. Symposium [All86, BS86, BR76, DS79, Sluggish [Ste94e, Ste97c]. Small [Ste84e]. HW76, Ric77, dBG78, DH69, ER88, dBG78]. Smooth [Ste12]. Software [Cow84, Ric77]. Synthetic [Ste71a]. Systaltic [OS87]. Solution System [HBC+00, OSvdG89]. Systems [BS72, SZ91b, Ste95g, Ste00a, SL68, Ste95e]. [Che91, DS84, HS72, Ste81c, vMS94, Ste73a, Solutions [Ste90i]. Solver [Ste03a]. Ste90a, Ste91d, Ste94c, Ste95e, vS96]. Solving [DS84, GS76, SSM94, Ste95b, vMS94, AMPS83, Ste73a, Ste90h, vS96]. table [HS69b]. Technical [Ste91b]. Some Technique [MSS84]. techniques [vH97]. [HS69a, Ste68, Ste69c, Ste69f, Ste73c, MP93]. Technology [HW76]. tend [Ste81a]. Sources [Cow84, RS98]. Space Tennessee [DS79]. Term [TTB+88]. test [GMS+85, GOS15]. Spacecraft [TTH+84]. [LS09]. testability [SSS89]. Theorem Sparse [BR76, GGL94, Ste76b, Ste98d, [DH69, GHS87, GHS88, LS00, Ste67a, Ste03a, BPS05, Ste99b, BR76, DS79, Ple81]. Ste75c, Ste91e, Ste01a, Ste04]. Theoretic special [GSV86b]. Spectrum [Ste75a]. [Ste69e]. Theoria [GS95, Fra95]. Theory Speech [IEE91, IEE92, IEE02]. Squares [GS95, Ste75b, Ste78a, SS90, Ste90f, Ste91f, [GKS76b, GKS76a, Ste77a, Ste87a, Ste87b, Ste93d, Ste94h, Fra95, Ste90d, Ste90e]. thin Ste75c, Ste90d, Ste97e, vH97]. SRRIT [SL68]. Three [Ste11a]. Tikhonov [RS98]. [BS92, BS97, Ste78b]. Stability Time [MGD93, RS98, LOSW94]. [Ste94g, Ste97a, SS98, Ste95f]. Stable Time-Domain [RS98]. time-varying [DGKS76, GS76]. Stage [SSM94]. [LOSW94]. Toeplitz [RS98]. Topics Standard [TTH+84]. Stanford [Wou89]. [Ste68, Ste69f, Mil75, Ste93b]. Toronto State [IP87]. states [Ste93g]. Statistical [IEE91]. total [vH97]. Tour [Ste76b]. [HS87, Ste88b, BF90]. Statistics Towers [IEE91]. tracking [HW76, Ste94b, Ste95a, All86, BS86, ER88]. [LOSW94, Ste90g, Ste92c]. Transfer Stewart [Par81, Cam81, CJ04, Duf10, [Ste91a, SL68]. transient [Ste93g]. Fra95, HC03, HC05, KO10, Kin97, Kin99, Transients [Ste94e, Ste97c]. Translated Ple81, SMC08, Ser97, Ste11a]. Stochastic [Ste11a]. Transportable [OSvdG89]. [MSS84, Ste90f]. Stockholm [Ros74]. Treatment [Ste74c]. Trefethen [Ste99a]. Storage [Ste76d]. Structure [Ste84c]. Triangular [RS98, Ste97f, Ste98c]. Structured [GGL94]. Study [MGD93]. Triangularization [SS98]. Tridiagonal REFERENCES 9

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1986, volume 9 of The Insti- King:1999:BRA tute of Mathematics and Its Ap- plications conference series; new [Kin99] J. Thomas King. Book reviews: series. Oxford University Press, Afternotes goes to graduate Oxford, UK, 1987. ISBN 0- school, lectures in advanced nu- 19-853614-3. LCCN QA297.J65 merical analysis, by G. W. Stew- 1986. URL http://www.gbv. art. Mathematics of Computa- de/dms/hbz/toc/ht002967923. tion, 68(226):887–891, April 1999. pdf; http://zbmath.org/? CODEN MCMPAF. ISSN 0025- q=an:0611.00024. 5718 (print), 1088-6842 (electronic). URL http://www.ams. Jia:2001:ARR org/jourcgi/jour-pbprocess? fn=110&arg1=S0025-5718-99- [JS01] Zhongxiao Jia and G. W. Stew- 01060-1&u=/mcom/1999-68-226/ art. An analysis of the Rayleigh– . Ritz method for approximating eigenspaces. Mathematics of Kilmer:2010:GWS Computation, 70(234):637–647, [KO10] Misha Elena Kilmer and Di- April 2001. CODEN MCM- anne P. O’Leary, editors. G. PAF. ISSN 0025-5718 (print), W. Stewart: selected works 1088-6842 (electronic). URL with commentaries. Contempo- http://www.ams.org/journal- rary mathematicians. Birkh¨auser, getitem?pii=S0025-5718-00- Cambridge, MA, USA; Berlin, 01208-4; http://www.ams. Germany; Basel, Switzerland, org/mcom/2001-70-234/S0025- 2010. ISBN 0-8176-4967-0 (hard- 5718-00-01208-4/S0025-5718- cover), 0-8176-4968-9 (e-book). 00-01208-4.dvi; http://www. xii + 729 pp. LCCN QA188 ams.org/mcom/2001-70-234/S0025- .S74 2010. URL http:// 5718-00-01208-4/S0025-5718- public.eblib.com/EBLPublic/ 00-01208-4.pdf; http://www. PublicView.do?ptiID=64586; ams.org/mcom/2001-70-234/S0025- http://rave.ohiolink.edu/ 5718-00-01208-4/S0025-5718- ebooks/ebc/978081764968; 00-01208-4.ps; http://www. http://site.ebrary.com/id/ ams.org/mcom/2001-70-234/S0025- 1042123. 5718-00-01208-4/S0025-5718- 00-01208-4.tex. Kaagstrom:1983:MPP Kincaid:1997:BRA [KR83] Bo K˚agstr¨om and Axel Ruhe, editors. Matrix Pencils: Pro- [Kin97] David R. Kincaid. Book review: ceedings of a Conference Held at Afternotes on Numerical Analy- Pite Havsbad, Sweden, March 22– sis, by G. W. Stewart. SIAM Re- 24, 1982, volume 973 of Lecture view, 39(1):153, March 1997. CO- Notes in Mathematics. Springer- DEN SIREAD. ISSN 0036-1445 Verlag, Berlin, Germany / Heidel- (print), 1095-7200 (electronic). berg, Germany / London, UK / REFERENCES 21

etc., 1983. CODEN LNMAA2. ieeexplore.ieee.org/stamp/ ISBN 0-387-11983-3, 3-540- stamp.jsp?tp=&arnumber=319588. 11983-3 (print), 3-540-39447-8 (e- IEEE catalog number 02CH37334C. book). ISSN 0075-8434 (print), Liu:1994:UET 1617-9692 (electronic). LCCN QA3 .L28 no. 973. URL http:/ [LOSW94] K. J. R. Liu, D. P. O’Leary, /link.springer.com/book/10. G. W. Stewart, and Y.-J. J. 1007/BFb0062089; http:// Wu. URV ESPRIT for track- www.springerlink.com/content/ ing time-varying signals. IEEE 978-3-540-39447-1. Transactions on Signal Pro- Kilmer:1999:IRM cessing, 42(12):3441–3448, ???? 1994. CODEN ITPRED. ISSN [KS99] Misha Kilmer and G. W. Stew- 1053-587X (print), 1941-0476 art. Iterative regularization and (electronic). URL http:// MINRES. SIAM Journal on ieeexplore.ieee.org/stamp/ Matrix Analysis and Applica- stamp.jsp?tp=&arnumber=340778. tions, 21(2):613–628, 1999. CO- DEN SJMAEL. ISSN 0895-4798 Latouche:1995:NMM (print), 1095-7162 (electronic). [LS95] G. Latouche and G. W. Stewart. URL http://epubs.siam.org/ Numerical methods for M/G/1 sam-bin/dbq/article/34862. type queues. In Stewart [Ste95g], Lam:2013:DFP pages 571–581. ISBN 0-7923- 9550-6. LCCN QA274.7 .I595 [LHS13] Michael O. Lam, Jeﬀrey K. 1995. URL http://zbmath.org/ Hollingsworth, and G. W. Stew- ?q=an:0940.00042. art. Dynamic ﬂoating-point can- Li:2000:NRP cellation detection. Parallel Com- puting, 39(3):146–155, March [LS00] Ren-Cang Li and G. W. Stewart. 2013. CODEN PACOEJ. ISSN A new relative perturbation the- 0167-8191 (print), 1872-7336 orem for singular subspaces. Lin- (electronic). URL http://www. ear Algebra and Its Applications, sciencedirect.com/science/ 313(1–3):41–51, July 1, 2000. CO- article/pii/S0167819112000622. DEN LAAPAW. ISSN 0024-3795 (print), 1873-1856 (electronic). Liu:1993:AEB URL http://www.elsevier. [LOSW93] K. J. R. Liu, D. P. O’Leary, G. W. nl/gej-ng/10/30/19/130/25/ Stewart, and Y.-J. J. Wu. An 27/abstract.html; http:// adaptive ESPRIT based on URV www.elsevier.nl/gej-ng/10/ decomposition. In IEEE [IEE02], 30/19/130/25/27/article.pdf. pages 37–40 (vol. 4). ISBN 0- Lee:2009:AET 7803-7402-9 (paperback). LCCN TA365 I11 2002; TK7882.S65 [LS09] Che-Rung Lee and G. W. Stew- I61 2002. URL http:// art. Algorithm 879: EIGEN- REFERENCES 22

TEST — a test matrix genera- volumes/oclc/6100019.html; tor for large-scale eigenproblems. http://www.sciencedirect. ACM Transactions on Mathe- com/science/book/9780124969520. matical Software, 35(1):7:1–7:11, July 2009. CODEN ACMSCU. Meyer:1993:LAM ISSN 0098-3500 (print), 1557- [MP93] C. D. (Carl Dean) Meyer and 7295 (electronic). Robert J. Plemmons, editors. Moonen:1993:LAL Linear algebra, Markov chains, and queueing models: [... some [MGD93] Marc S. Moonen, Gene H. Golub, of the lectures given at the Work- and Bart L. R. De Moor, edi- shop Linear Algebra, Markov tors. Linear Algebra for Large Chains, and Queueing Models Scale and Real-Time Applica- held January 13–17, 1992, as tions: Proceedings of the NATO part of the Year of Applied Advanced Study Institute, Leu- Linear Algebra at the Institute ven, Belgium, August 3–14, for Mathematics and its Ap- 1992, volume 232 of NATO ASI plications], volume 48 of The series. Series E, Applied sci- IMA volumes in mathematics ences. Kluwer Academic Pub- and its applications. Springer- lishers Group, Norwell, MA, Verlag, Berlin, Germany / Heidel- USA, and Dordrecht, The Nether- berg, Germany / London, UK / lands, 1993. ISBN 0-7923-2151- etc., 1993. ISBN 0-387-94085- 0. LCCN QA185.D37 L56 1993. 5 (New York), 3-540-94085-5 URL http://catdir.loc.gov/ (Berlin). LCCN QA184 .L545 catdir/enhancements/fy0823/ 1993. URL http://catalog. 92046135-d.html; http:// hathitrust.org/api/volumes/ www.gbv.de/dms/hbz/toc/ht004938330. oclc/28182134.html; http: pdf; http://zbmath.org/? //www.gbv.de/dms/ilmenau/toc/ q=an:0810.00029. 126000387.PDF; http://zbmath. org/?q=an:0779.00020. Miller:1975:TNA Moler:1971:AGM [Mil75] John J. H. Miller, editor. Top- ics in numerical analysis II: [MS71] Cleve B. Moler and Gilbert W. proceedings of the Royal Irish Stewart. An algorithm for Academy Conference on Numer- the generalized matrix eigenvalue ical Analysis, 1974. Published problem Ax = λBx. Tech- for the Royal Irish Academy nical Report STAN-CS-71-232, by Academic Press, London, Department of Computer Sci- UK, 1975. ISBN 0-323-14134- ence, Stanford University, Stan- X, 0-12-496952-6 (e-book), 0- ford, CA, 1971. 50 pp. Issued 323-14134-X (e-book). LCCN jointly as report CNA 32 by the QA297 .R69. URL http:// Center for Numerical Analysis, catalog.hathitrust.org/api/ the University of Texas at Austin. REFERENCES 23

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[MS73] C. B. Moler and G. W. Stew- [MS93a] R. Mathias and G. W. Stewart. A art. An algorithm for gener- block QR algorithm and the sin- alized matrix eigenvalue prob- gular value decomposition. Lin- lems. SIAM Journal on Nu- ear Algebra and Its Applications, merical Analysis, 10(2):241–256, 182:91–100, March 15, 1993. CO- April 1973. CODEN SJNAAM. DEN LAAPAW. ISSN 0024-3795 ISSN 0036-1429 (print), 1095- (print), 1873-1856 (electronic). 7170 (electronic). URL http:// zbmath.org/?q=an:0225.65046. Mathias:1993:BQA

Moler:1978:HFA [MS93b] R. Mathias and G. W. Stewart. A block QR algorithm and the sin- [MS78] Cleve B. Moler and G. W. Stew- gular value decomposition. Lin- art. On the Householder–Fox al- ear Algebra and Its Applications, gorithm for decomposing a pro- 188:91–100, 1993. CODEN LAA- jection. Journal of Computational PAW. ISSN 0024-3795 (print), Physics, 28(1):82–91, July 1978. 1873-1856 (electronic). CODEN JCTPAH. ISSN 0021- 9991 (print), 1090-2716 (elec- McAllister:1984:RRR tronic). URL http://www. sciencedirect.com/science/ [MSS84] D. F. McAllister, G. W. Stew- article/pii/0021999178900487. art, and W. J. Stewart. On a Rayleigh–Ritz refinement tech- Moler:1979:EMF nique for nearly uncoupled stochastic matrices. Linear Al- [MS79] Cleve B. Moler and G. W. gebra and Its Applications,60 (Gilbert W.) Stewart. An effi- (??):1–25, August 1984. CO- cient matrix factorization for dig- DEN LAAPAW. ISSN 0024- ital image processing. Report LA- 3795 (print), 1873-1856 (elec- 7637-MS, Los Alamos Scientific tronic). URL http://www. Laboratory, Los Alamos, NM, sciencedirect.com/science/ USA, January 1979. 15 pp. article/pii/0024379584900673. REFERENCES 24

OLeary:1990:BSP 0024-3795 (print), 1873-1856 (electronic). URL http://www. [O’L90] Dianne P. O’Leary. On bounds sciencedirect.com/science/ for scaled projections and pseudo- article/pii/0024379586901722. inverses. Linear Algebra and Its Special volume on parallel com- Applications, 132:115–117, 1990. puting. CODEN LAAPAW. ISSN 0024- 3795 (print), 1873-1856 (elec- OLeary:1987:DSA tronic). See [Ste89]. [OS87] D. P. O’Leary and G. W. OLeary:1986:MCM Stewart. From determinacy to systaltic arrays. IEEE [OPSW86] Dianne P. O’Leary, Roger Pier- Transactions on Computers, son, G. W. Stewart, and Mark C-36(11):1355–1359, November Weiser. The Maryland Crab: A 1987. CODEN ITCOB4. ISSN module for building parallel com- 0018-9340 (print), 1557-9956 puters. Technical Report CS- (electronic). URL http:// 1660, Department of Computer ieeexplore.ieee.org/stamp/ Science, University of Maryland, stamp.jsp?tp=&arnumber=5009475. College Park, MD, USA, 1986. Also issued as University of Mary- OLeary:1990:CEE land Institute for Advanced Com- puter Studies Report UMIACS- [OS90] D. P. O’Leary and G. W. Stew- 86-9. art. Computing the eigenvalues and eigenvectors of symmet- OLeary:1985:DFA ric arrowhead matrices. Jour- [OS85] Dianne P. O’Leary and G. W. nal of Computational Physics,90 Stewart. Data-ﬂow algorithms (2):497–505, October 1990. CO- for parallel matrix computation. DEN JCTPAH. ISSN 0021- Communications of the Associ- 9991 (print), 1090-2716 (elec- ation for Computing Machinery, tronic). URL http://www. 28(8):840–853, August 1985. CO- sciencedirect.com/science/ DEN CACMA2. ISSN 0001- article/pii/0021999190901773. 0782 (print), 1557-7317 (elec- Oleary:1998:CNR tronic). URL http://www. acm.org/pubs/toc/Abstracts/ [OS98] D. P. Oleary and G. W. Stew- 0001-0782/4025.html. art. On the convergence of a OLeary:1986:ASP new Rayleigh quotient method with applications to large eigen- [OS86] Dianne P. O’Leary and G. W. problems. Electronic Trans- Stewart. Assignment and schedul- actions on Numerical Analy- ing in parallel matrix factoriza- sis (ETNA), 7:182–189, 1998. tion. Linear Algebra and Its Ap- CODEN ???? ISSN 1068- plications, 77(??):275–299, May 9613 (print), 1097-4067 (elec- 1986. CODEN LAAPAW. ISSN tronic). URL http://etna.mcs. REFERENCES 25

kent.edu/vol.7.1998/pp182- Parlett:1981:BRBb 189.dir/pp182-189.pdf. Large scale eigenvalue problems (Ar- [Par81] B. N. Parlett. Book review: LIN- gonne, IL, 1997). PACK Users’ Guide (J. J. Don- garra, J. R. Bunch, C. B. Moler OLeary:1979:ELE and G. W. Stewart). SIAM Re- view, 23(1):126–128, ???? 1981. CODEN SIREAD. ISSN 0036- [OSV79] Dianne P. O’Leary, G. W. Stew- 1445 (print), 1095-7200 (elec- art, and James S. Vandergraft. tronic). Estimating the largest eigenvalue of a positive definite matrix. Plemmons:1981:RBM Mathematics of Computation,33 (148):1289–1292, October 1979. [Ple81] R. J. Plemmons. Review of Sparse CODEN MCMPAF. ISSN 0025- matrix proceedings 1978, edited 5718 (print), 1088-6842 (elec- by Iain S. Duff and G. W. Stew- tronic). art. Linear Algebra and Its Appli- cations, 40(??):275–278, October OLeary:1986:DMP 1981. CODEN LAAPAW. ISSN 0024-3795 (print), 1873-1856 (electronic). URL http://www. [OSvdG86] Dianne P. O’Leary, G. W. Stew- sciencedirect.com/science/ art, and Robert van de Geijn. article/pii/0024379581901580. DOMINO: a message passing environment for parallel computa- Priest:2004:ESC tions. Technical Report TR-1648, Department of Computer Science, [Pri04] Douglas M. Priest. Efficient scal- University of Maryland, College ing for complex division. ACM Park, MD, USA, April 1986. Transactions on Mathematical Software, 30(4):389–401, Decem- OLeary:1989:DTO ber 2004. CODEN ACMSCU. ISSN 0098-3500 (print), 1557- [OSvdG89] Diane P. O’Leary, G. W. Stew- 7295 (electronic). art, and Robert van de Geijn. Rice:1977:MSS DOMINO: A transportable operating system for parallel com- [Ric77] John R. (John Rischard) Rice, putation. In Wouk [Wou89], editor. Mathematical Software pages 25–34. ISBN 0-89871-238- Symposium, University of Wis- 6. LCCN QA76.5 .W665 1986. consin, Madison, 1977. Mathe- URL http://books.google. matical Software III: Proceedings com/books?id=O3GOAAAAIAAJ; of a Symposium Conducted by http://catalog.hathitrust. the Mathematics Research Cen- org/api/volumes/oclc/19630560. ter, the University of Wisconsin, html; http://zbmath.org/? Madison, March 28–30, 1977. q=an:0681.68004. Number 39 in Publication of REFERENCES 26

the Mathematics Research Cen- Sharda:1989:IRC ter, the University of Wisconsin, + Madison. Academic Press Inc., [SGW 89] R. Sharda, B. L. Golden, New York, NY, USA, 1977. ISBN E. Wasil, O. Balci, and G. W. 0-12-587260-7 (hardcover). ix + Stewart, editors. Impacts of Re- 388 pp. LCCN QA3 .U45 no. 39; cent Computer Advances on Op- QA297 .M36 1977. URL http:// erations Research, volume 9 of zbmath.org/?q=an:0234.68003. Publications in Operations Re- search. North-Holland Publishing Rosenfeld:1974:IPP Co., Amsterdam, The Nether- lands, 1989. ISBN 0-444-01492- [Ros74] Jack L. Rosenfeld, editor. In- 6. LCCN T57.6 .I4831 1989. formation processing, 1974; Pro- URL http://zbmath.org/?q= ceedings of IFIP Congress 74, an:0727.90047. Stockholm, Sweden, August 5–10, Stewart:1968:NAN 1974. North-Holland Publishing [SL68] G. W. Stewart III and Dale W. Co., Amsterdam, The Nether- Lick. Numerical analysis: Nu- lands, 1974. ISBN 0-444-10689- merical solution of a thin plate 8, 0-7204-2803-3. LCCN QA 76 heat transfer problem. Com- I615. munications of the Association Roginsky:1998:TDE for Computing Machinery, 11(9): 639–641, September 1968. CO- [RS98] Jacob Roginsky and G. W. Stew- DEN CACMA2. ISSN 0001-0782 art. Time-domain extraction of (print), 1557-7317 (electronic). broad-band sources by Tikhonov– Schilders:2008:BMU Phillips regularization of triangular Toeplitz kernels. Technical [SMC08] W. H. A. Schilders, P. B. L. Mei- Report UMIACS-TR-95-87, In- jer, and E. Ciggaar. Behavioural stitute for Advanced Computer modelling using the MOESP al- Studies, University of Maryland, gorithm, dynamic neural net- College Park, MD, USA, Octo- works and the Bartels–Stewart ber 15, 1998. URL http://drum. algorithm. Applied Numerical lib.umd.edu/handle/1903/755. Mathematics: Transactions of IMACS, 58(12):1972–1993, De- Serbin:1997:BRA cember 2008. CODEN ANMAEL. ISSN 0168-9274 (print), 1873- [Ser97] Steven M. Serbin. Book re- 5460 (electronic). views: Afternotes on numeri- Soderstrom:1974:NPI cal analysis, by G. W. Stewart. Mathematics of Computation,66 [SS74] Torsten S¨oderstr¨om and G. W. (219):1367–1374, July 1997. CO- Stewart. On the numerical prop- DEN MCMPAF. ISSN 0025-5718 erties of an iterative method (print), 1088-6842 (electronic). for computing the Moore–Penrose REFERENCES 27

generalized inverse. SIAM Jour- Analysis and Applications, 19(4): nal on Numerical Analysis, 11(1): 847–860, October 1998. CO- 61–74, March 1974. CODEN SJ- DEN SJMAEL. ISSN 0895-4798 NAAM. ISSN 0036-1429 (print), (print), 1095-7162 (electronic). 1095-7170 (electronic). URL http://epubs.siam.org/ sam-bin/dbq/article/31958. Stewart:1990:MPT Saltzman:1989:IIP [SS90] Gilbert Wright (Gilbert W.) Stewart and Ji-guang Sun. Ma- [SSM89] M. J. Saltzman, R. Subrama- trix Perturbation Theory. Com- niam, and R. E. Marsten. Im- puter science and scientiﬁc com- plementing an interior point LP puting. Academic Press Inc., New algorithm on a supercomputer. York, NY, USA, 1990. ISBN In Sharda et al. [SGW+89], 0-12-670230-6 (hardcover). xv pages 158–168. ISBN 0-444- + 365 pp. LCCN QA871 01492-6. LCCN T57.6 .I4831 .S775 1990. URL http:// 1989. URL http://zbmath.org/ catalog.hathitrust.org/api/ ?q=an:0727.90047. volumes/oclc/21227976.html; http://www.loc.gov/catdir/ Stewart:1994:TSI description/els032/90033378. htm; http://www.loc.gov/ [SSM94] G. W. Stewart, W. J. Stew- catdir/description/els032/ art, and D. F. McAllister. A 90033378.html; http://www. two-stage iteration for solving loc.gov/catdir/toc/els031/ nearly completely decomposable 90033378.htm; http://www. Markov chains. In Golub et al. loc.gov/catdir/toc/els031/ [GGL94], pages 201–216. ISBN 90033378.html. 0-387-94252-1 (New York), 3-540- Schweitzer:1993:LEP 94252-1 (Berlin). LCCN QA297.8 .R43 1994. URL http://zbmath. [SS93] Paul J. Schweitzer and G. W. org/?q=an:0790.00015. Stewart. The Laurent expansion of pencils that are singu- Stenbakken:1989:AGT lar at the origin. Linear Alge- bra and Its Applications, 183:237– [SSS89] G. N. Stenbakken, T. M. Soud- 254, April 1, 1993. CODEN LAA- ers, and G. W. Stewart. Ambigu- PAW. ISSN 0024-3795 (print), ity groups and testability. IEEE 1873-1856 (electronic). Transactions on Instrumentation Stewart:1998:HTS and Measurement, 38(5):941–947, ???? 1989. CODEN IEIMAO. [SS98] Michael Stewart and G. W. Stew- ISSN 0018-9456 (print), 1557- art. On hyperbolic triangu- 9662 (electronic). URL http:/ larization: Stability and pivot- /ieeexplore.ieee.org/stamp/ ing. SIAM Journal on Matrix stamp.jsp?tp=&arnumber=39034. REFERENCES 28

Stewart:1967:GTF 599X (print), 0945-3245 (electronic). URL http://zbmath. [Ste67a] G. W. Stewart III. A general- org/?q=an:0185.40203. ization of a theorem of Fan on Gershgorin disks. Numerische Stewart:1969:CGI Mathematik, 10:162, 1967. CO- [Ste69b] G. W. Stewart. On the continuity DEN NUMMA7. ISSN 0029-599X of the generalized inverse. SIAM (print), 0945-3245 (electronic). Journal on Applied Mathematics, URL http://zbmath.org/?q= 17(1):33–45, January 1969. CO- an:0158.03504. See origi- DEN SMJMAP. ISSN 0036-1399 nal paper by Fan at https:// (print), 1095-712X (electronic). doi.org/10.1215/S0012-7094- 58-02538-9, https://zbmath. Stewart:1969:SIF org/?qan:0081.25202=. [Ste69c] G. W. Stewart. Some itera- Stewart:1967:MDM tions for factoring a polynomial. Numerische Mathematik, 13(5): [Ste67b] G. W. Stewart III. A modifi- 458–470, October 1969. CO- cation of Davidon’s minimization DEN NUMMA7. ISSN 0029- method to accept difference ap- 599X (print), 0945-3245 (elec- proximations to derivatives. Jour- tronic). URL http://zbmath. nal of the Association for Com- org/?q=an:0181.17401. puting Machinery, 14(1):72–83, January 1967. CODEN JA- Stewart:1969:LMF COAH. ISSN 0004-5411 (print), [Ste69d] G. W. Stewart III. On Lehmer’s 1557-735X (electronic). method for finding the zeros Stewart:1968:STNa of a polynomial. Mathemat- ics of Computation, 23(108):829– [Ste68] Gilbert Wright Stewart III. Some 835, s24–s30, October 1969. CO- topics in numerical analysis. Re- DEN MCMPAF. ISSN 0025-5718 port ORNL-4303, Oak Ridge (print), 1088-6842 (electronic). National Laboratory, Knoxville, See corrigendum [Ste71d]. TN, USA, September 1968. vi Stewart:1969:STF + 71 pp. URL http://www. ornl.gov/info/reports/1968/ [Ste69e] G. W. Stewart III. A set theoretic 3445605155079.pdf. formulation of backward rounding error analysis. Computation Stewart:1969:AOI Center Report TNN-92, Univer- [Ste69a] G. W. Stewart. Accelerating sity of Texas at Austin, Austin, the orthogonal iteration for the TX, USA, ???? 1969. ???? pp. eigenvectors of a Hermitian ma- Stewart:1969:STNb trix. Numerische Mathematik,13 (4):362–376, August 1969. CO- [Ste69f] Gilbert Wright Stewart III. Some DEN NUMMA7. ISSN 0029- Topics in Numerical Analy- REFERENCES 29

sis. Ph.D. dissertation, Uni- Stewart:1970:CSS versity of Tennessee, Knoxville, Knoxville, TN, USA, May [Ste70d] G. W. Stewart. On the con- 1969. URL http://genealogy. vergence of Sebasti˜ao e Silva’s math.ndsu.nodak.edu/id.php? method for ﬁnding a zero of a id=58767; http://search. polynomial. SIAM Review,12 proquest.com/docview/302349990; (3):458–460, ???? 1970. CO- http://www.ornl.gov/info/ DEN SIREAD. ISSN 0036- reports/1968/3445605155079. 1445 (print), 1095-7200 (elec- pdf. tronic). URL http://zbmath. org/?q=an:0198.20905. Stewart:1970:AAE Stewart:1970:RAE [Ste70a] G. W. Stewart. ACM Algorithm 384: Eigenvalues and eigenvectors [Ste70e] G. W. Stewart. Remark on “Al- of a real symmetric matrix [F2]. gorithm 384: Eigenvalues and Communications of the Associa- eigenvectors of a real symmetric tion for Computing Machinery, matrix [F2]”. Communications 13(6):369–371, June 1970. CO- of the Association for Comput- DEN CACMA2. ISSN 0001-0782 ing Machinery, 13(12):750, De- (print), 1557-7317 (electronic). cember 1970. CODEN CACMA2. See errata [Ste70e]. ISSN 0001-0782 (print), 1557- 7317 (electronic). See [Ste70a]. Stewart:1970:IOS Stewart:1971:EAA [Ste70b] G. W. Stewart. Incorporating origin shifts into the QR algorithm [Ste71a] G. W. Stewart. Error analy- for symmetric tridiagonal matri- sis of the algorithm for shift- ces. Communications of the As- ing the zeros of a polynomial sociation for Computing Machin- by synthetic division. Mathe- ery, 13(6):365–367, June 1970. matics of Computation, 25(113): CODEN CACMA2. ISSN 0001- 135–139, 1971. CODEN MCM- 0782 (print), 1557-7317 (elec- PAF. ISSN 0025-5718 (print), tronic). URL http://zbmath. 1088-6842 (electronic). org/?q=an:0195.45001. Stewart:1971:EBA Stewart:1970:SIF [Ste71b] G. W. Stewart. Error bounds [Ste70c] G. W. Stewart. On Samelson’s for approximate invariant sub- iteration for factoring polynomi- spaces of closed linear opera- als. Numerische Mathematik,15 tors. SIAM Journal on Numer- (4):306–314, August 1970. CO- ical Analysis, 8(4):796–808, De- DEN NUMMA7. ISSN 0029- cember 1971. CODEN SJNAAM. 599X (print), 0945-3245 (elec- ISSN 0036-1429 (print), 1095- tronic). URL http://zbmath. 7170 (electronic). URL http:// org/?q=an:0231.65050. zbmath.org/?q=an:0232.47010. REFERENCES 30

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[Ste90c] G. W. Stewart. On the sensitiv- [Ste90h] G. W. (Pete) Stewart. An it- ity of nearly uncoupled Markov erative method for solving lin- chains. In Stewart [Ste90i], pages ear inequalities. In Cox and 105–119. ISBN ???? LCCN ???? Hammarling [CH90], pages 241– Stewart:1990:PTL 247. ISBN 0-19-853564-3. LCCN QA297 .R435 1990. US$75.00. [Ste90d] G. W. Stewart. Perturbation the- URL http://zbmath.org/?q= ory and least squares with er- an:0234.68003. Based on papers rors in the variables. In Brown from a conference in honour of the and Fuller [BF90], pages 171– late James Hardy Wilkinson (died 181. ISBN 0-8218-5117-9, 0- Sunday 5th October 1986) held 8218-7700-3 (e-book). ISSN 0271- at National Physical Laboratory, 4132 (print), 1098-3627 (elec- Teddington, Middlesex, UK, 8th– tronic). LCCN QA275 .A47 10th July 1987. 1989. URL http://www.ams. Stewart:1990:NSM org/conm/112/. [Ste90i] W. J. Stewart, editor. Stewart:1990:PTS Numerical Solutions of Markov Chains. Mar- [Ste90e] G. W. Stewart. Perturbation cel Dekker, Inc., New York, NY, theory for the singular value USA, 1990. ISBN ???? LCCN decomposition. Technical Re- ???? port CS-TR 2539, Department Stewart:1991:FFT of Computer Science, University of Maryland, College Park, MD, [Ste91a] G. W. Stewart. FTP — ﬁle USA, 1990. ???? pp. transfer program. ACM SIGNUM Newsletter, 26(4):2–3, October Stewart:1990:SPT 1991. CODEN SNEWD6. ISSN [Ste90f] G. W. Stewart. Stochastic pertur- 0163-5778 (print), 1558-0237 bation theory. SIAM Review,32 (electronic). (4):579–610, December 1990. CO- Stewart:1991:FTR DEN SIREAD. ISSN 0036-1445 (print), 1095-7200 (electronic). [Ste91b] G. W. Stewart. FTPing technical reports. NA Digest, 91(39):??, Stewart:1990:UAS 1991. Electronic mail magazine: [Ste90g] G. W. Stewart. An updating [email protected]. algorithm for subspace tracking. Stewart:1991:JGP Technical Report CS-TR 2494, Department of Computer Science, [Ste91c] G. W. Stewart. Jeep: A gen- University of Maryland, College eral purpose style ﬁle. TEX and Park, MD, USA, 1990. ???? pp. TUG News, 0(0):3–4, ???? 1991. revised January 1991. ISSN 1065-240X. URL http: REFERENCES 38

//tug.ctan.org/tex-archive/ Stewart:1992:EAQ digests/ttn/ttn0n0.tex. [Ste92a] G. W. Stewart. Error analy- Stewart:1991:LLS sis of QR updating with exponential windowing. Mathemat- [Ste91d] G. W. Stewart. Lanczos and ics of Computation, 59(199):135– linear systems. Technical Re- 140, July 1992. CODEN MCM- port CS-TR 2641, Department PAF. ISSN 0025-5718 (print), of Computer Science, University 1088-6842 (electronic). of Maryland, College Park, MD, Stewart:1992:NGS USA, 1991. ???? pp. [Ste92b] G. W. Stewart. Note on a gen- Stewart:1991:ARR eralized Sylvester equation. IMA Preprint Series #985, Institute [Ste91e] G. W. Stewart. On an algorithm for Mathematics and its Appli- for reﬁning a rank-revealing URV cations, University of Minnesota, factorization and a perturbation Minneapolis, MN, USA, May theorem for singular values. Tech- 1992. 3 pp. nical Report CS-TR 2626, De- partment of Computer Science, Stewart:1992:UAS University of Maryland, College [Ste92c] G. W. Stewart. An updating Park, MD, USA, 1991. ???? pp. algorithm for subspace tracking. IEEE Transactions on Sig- Stewart:1991:PTS nal Processing, 40(6):1535–1541, ???? 1992. CODEN ITPRED. [Ste91f] G. W. Stewart. Perturbation ISSN 1053-587X (print), 1941- theory for the singular value de- 0476 (electronic). URL http:/ composition. In Vaccaro [Vac91], /ieeexplore.ieee.org/stamp/ pages 99–109. ISBN 0-444- stamp.jsp?tp=&arnumber=139256. 88896-9. LCCN TK5102.5 .S93 1991. URL http://catalog. Stewart:1993:ASH hathitrust.org/api/volumes/ oclc/22911621.html. [Ste93a] G. W. Stewart. Alston Scott Householder (1904–1993). SIAM Stewart:1991:TSR News, 26(??):??, October 1993. ISSN 0036-1437. URL http:/ [Ste91g] G. W. Stewart. Two simple /archive.is/20130115033809/ residual bounds for the eigen- http://sites.uclouvain.be/ values of a Hermitian matrix. HHXIX/AlstonHouseholder/#selection- SIAM Journal on Matrix Analy- 215.0-215.36. sis and Applications, 12(2):205– Stewart:1993:BRB 208, April 1991. CODEN SJ- MAEL. ISSN 0895-4798 (print), [Ste93b] G. W. Stewart. Book review: 1095-7162 (electronic). Topics in Matrix Analysis (Roger REFERENCES 39

A. Horn and Charles R. John- Stewart:1993:PCF son). SIAM Review, 35(1): 168–169, March 1993. CO- [Ste93f] G. W. Stewart. On the per- DEN SIREAD. ISSN 0036-1445 turbation of LU, Cholesky, and (print), 1095-7200 (electronic). QR factorizations. SIAM Jour- nal on Matrix Analysis and Ap- Stewart:1993:DRP plications, 14(4):1141–1145, Oc- tober 1993. CODEN SJMAEL. [Ste93c] G. W. Stewart. Determining ISSN 0895-4798 (print), 1095- rank in the presence of error. In 7162 (electronic). Moonen et al. [MGD93], pages Stewart:1993:PMC 275–291. ISBN 0-7923-2151- 0. LCCN QA185.D37 L56 1993. [Ste93g] G. W. Stewart. On the perturba- URL http://catdir.loc.gov/ tion of Markov chains with nearly catdir/enhancements/fy0823/ transient states. Numerische 92046135-d.html; http:// Mathematik, 65(1):135–141, May www.gbv.de/dms/hbz/toc/ht004938330. 1993. CODEN NUMMA7. ISSN pdf; http://zbmath.org/? 0029-599X (print), 0945-3245 q=an:0810.00029. (electronic). Stewart:1993:URR Stewart:1993:GEP [Ste93h] G. W. Stewart. Updating a [Ste93d] G. W. Stewart. Gaussian rank-revealing ULV decomposi- elimination, perturbation the- tion. SIAM Journal on Matrix ory, and Markov chains. In Analysis and Applications, 14(2): Meyer and Plemmons [MP93], 494–499, April 1993. CODEN SJ- pages 59–69. ISBN 0-387-94085- MAEL. ISSN 0895-4798 (print), 5 (New York), 3-540-94085-5 1095-7162 (electronic). (Berlin). LCCN QA184 .L545 Stewart:1994:D 1993. URL http://catalog. hathitrust.org/api/volumes/ [Ste94a] G. W. Stewart. UTV decompo- oclc/28182134.html; http: sitions. In Griﬃths and Watson //www.gbv.de/dms/ilmenau/toc/ [GW94], pages 225–236. ISBN 126000387.PDF; http://zbmath. 0-582-22568-X. ISSN 0269-3674. org/?q=an:0779.00020. LCCN QA297 .D85 1993. Stewart:1994:GSG Stewart:1993:EHS [Ste94b] G. W. Stewart. Gauss, statis- [Ste93e] G. W. Stewart. On the early his- tics, and Gaussian elimination. tory of the singular value decom- Technical Report TR-3307, De- position. SIAM Review, 35(4): partment of Computer Science, 551–566, December 1993. CO- University of Maryland, College DEN SIREAD. ISSN 0036-1445 Park, MD, USA, August 1994. 14 (print), 1095-7200 (electronic). pp. REFERENCES 40

Stewart:1994:LLS University of Maryland, College Park, MD, USA, March 1994. 17 [Ste94c] G. W. Stewart. Lanczos and lin- pp. ear systems. In Brown et al. [BCEP94], pages 135–139. ISBN Stewart:1994:PTR 0-89871-339-0. LCCN QC19.2 [Ste94h] G. W. Stewart. Perturbation the- .C67 1993. ory for rectangular matrix pen- Stewart:1994:GQD cils. Linear Algebra and Its Appli- [Ste94d] G. W. Stewart. On graded QR de- cations, 208/209:297–301, 1994. compositions of products of ma- CODEN LAAPAW. ISSN 0024- 3795 (print), 1873-1856 (elec- trices. Technical Report TR-3263, tronic). Department of Computer Science, University of Maryland, College Stewart:1994:UUD Park, MD, USA, April 1994. 14 pp. [Ste94i] G. W. Stewart. Updating URV decompositions in paral- Stewart:1994:MCS lel. Parallel Computing, 20(2): [Ste94e] G. W. Stewart. On Markov chains 151–172, February 24, 1994. CO- with sluggish transients. Techni- DEN PACOEJ. ISSN 0167-8191 cal Report TR-3306, Department (print), 1872-7336 (electronic). of Computer Science, University URL http://www.elsevier. of Maryland, College Park, MD, com/cgi-bin/cas/tree/store/ USA, June 1994. 8 pp. parco/cas_sub/browse/browse. cgi?year=1994&volume=20&issue= Stewart:1994:CMI 2&aid=828. [Ste94f] G. W. Stewart. On the con- Stewart:1995:GSG vergence of multipoint iterations. Numerische Mathematik, 68(1): [Ste95a] G. W. Stewart. Gauss, statistics, 143–147, June 1994. CODEN and Gaussian elimination. Jour- NUMMA7. ISSN 0029-599X nal of Computational and Graph- (print), 0945-3245 (electronic). ical Statistics, 4(1):1–11, March URL http://link.springer. 1995. CODEN ???? ISSN 1061- de/link/service/journals/00211/ 8600 (print), 1537-2715 (elec- bibs/4068001/40680143.htm; tronic). URL http://www. http://science.springer.de/ jstor.org/stable/1390624. nmee/bibs/4068001/40680143. Stewart:1995:IMS htm. Stewart:1994:SSU [Ste95b] G. W. Stewart. An iterative method for solving linear inequal- [Ste94g] G. W. Stewart. On the stability ities. Technical Report CS-TR- of sequential updates and down- 1833, Department of Computer dates. Technical Report TR-3238, Science, University of Maryland, Department of Computer Science, College Park, MD, USA, Febru- REFERENCES 41

ary 6, 1995. URL http://drum. 0476 (electronic). URL http:/ lib.umd.edu/handle/1903/355. /ieeexplore.ieee.org/stamp/ stamp.jsp?tp=&arnumber=482114. Stewart:1995:GQD Stewart:1995:CMC [Ste95c] G. W. Stewart. On graded QR decompositions of products [Ste95g] William J. Stewart, editor. Com- of matrices. Electronic Trans- putations with Markov chains: actions on Numerical Analysis proceedings of the 2nd Interna- (ETNA), 3:39–49, 1995. CO- tional Workshop on the Numer- DEN ???? ISSN 1068-9613 ical Solution of Markov Chains. (print), 1097-4067 (electronic). Kluwer Academic Publishers URL http://etna.mcs.kent. Group, Norwell, MA, USA, edu/vol.3.1995/pp39-49.dir/ and Dordrecht, The Nether- pp39-49.pdf. lands, 1995. ISBN 0-7923-9550- Stewart:1995:PSC 6. LCCN QA274.7 .I595 1995. URL http://zbmath.org/?q= [Ste95d] G. W. Stewart. On the perturba- an:0940.00042. tion of Schur complement in pos- Stewart:1996:ANA itive semideﬁnite matrix. Tech- nical Report TR-95-38, Institute [Ste96] G. W. (Gilbert W.) Stewart. for Advanced Computer Studies, Afternotes on numerical analy- University of Maryland, College sis: a series of lectures on ele- Park, MD, USA, 1995. mentary numerical analysis presented at the University of Mary- Stewart:1995:SBH land at College Park and recorded [Ste95e] G. W. Stewart. On the so- after the fact. SIAM (Soci- lution of block Hessenberg sys- ety for Industrial and Applied tems. Numerical Linear Alge- Mathematics), Philadelphia, PA, bra with Applications, 2(3):287– USA, 1996. ISBN 0-89871-362- 296, 1995. CODEN NLAAEM. 5 (paperback). x + 200 pp. ISSN 1070-5325 (print), 1099- LCCN QA297 .S785 1996. URL 1506 (electronic). URL http: http://www.loc.gov/catdir/ //onlinelibrary.wiley.com/ enhancements/fy0726/95047768- doi/10.1002/nla.1680020309/ d.html; http://www.loc.gov/ abstract. catdir/enhancements/fy0726/ 95047768-t.html. Stewart:1995:SSU Stewart:1997:BRA [Ste95f] G. W. Stewart. On the stability of sequential updates and down- [Ste97a] G. W. Stewart. Book review: dates. IEEE Transactions on Sig- Accuracy and Stability of Nu- nal Processing, 43(11):2642–2648, merical Algorithms, by Nicholas ???? 1995. CODEN ITPRED. J. Higham. SIAM Review,39 ISSN 1053-587X (print), 1941- (1):164–166, March 1997. CO- REFERENCES 42

DEN SIREAD. ISSN 0036-1445 URL http://www.mai.liu.se/ (print), 1095-7200 (electronic). BIT/contents/bit37.html. Stewart:1997:EVN Stewart:1997:TMG [Ste97b] G. W. Stewart. Errors in variables [Ste97f] G. W. Stewart. The triangular for numerical analysts. In van matrices of Gaussian elimination Huﬀel [vH97], pages 3–10. ISBN and related decompositions. IMA 0-89871-393-5. LCCN QA275 Journal of Numerical Analysis, .R4 1997. URL http://zbmath. 17(1):7–16, January 1997. CO- org/?q=an:0861.00018. Pro- DEN IJNADH. ISSN 0272-4979 ceedings of the Second Interna- (print), 1464-3642 (electronic). tional Workshop on Total Least URL http://www3.oup.co.uk/ Squares and Errors-in-Variables imanum/hdb/Volume_17/Issue_ Modeling, Leuven, Belgium, Au- 01/170007.sgm.abs.html. gust 21–24, 1996. Stewart:1998:SC Stewart:1997:MCS [Ste98a] G. W. Stewart. On sublinear [Ste97c] G. W. Stewart. On Markov chains convergence. Technical report with sluggish transients. Stochas- UMIACS-TR-95-92, Institute for tic Models, 13:85–95, 1997. CO- Advanced Computer Studies, DEN CSSME8. ISSN 1532-6349 University of Maryland, College (print), 1532-4214 (electronic). Park, MD, USA, 1998/10/15/ 1998. URL http://drum.lib. Stewart:1997:PCF umd.edu/handle/1903/760. [Ste97d] G. W. Stewart. On the perturba- Stewart:1998:AM tion of LU and Cholesky factors. [Ste98b] G. W. Stewart. On the ad- IMA Journal of Numerical Analy- jugate matrix. Linear Alge- sis, 17(1):1–6, January 1997. CO- bra and Its Applications, 283 DEN IJNADH. ISSN 0272-4979 (1–3):151–164, November 1, (print), 1464-3642 (electronic). 1998. CODEN LAAPAW. URL http://www3.oup.co.uk/ ISSN 0024-3795 (print), 1873- imanum/hdb/Volume_17/Issue_ 1856 (electronic). URL http:/ 01/170001.sgm.abs.html. /www.elsevier.com/cas/tree/ Stewart:1997:WML store/laa/sub/1998/283/1-3/ 6217.pdf; http://www.elsevier. [Ste97e] G. W. Stewart. On the weight- com/cgi-bin/cas/tree/store/ ing method for least squares laa/cas_sub/browse/browse. problems with linear equality cgi?year=1998&volume=283&issue= constraints. BIT Numerical 1-3&aid=6217. Mathematics, 37(4):961–967, De- Stewart:1998:TMG cember 1997. CODEN BIT- TEL, NBITAB. ISSN 0006-3835 [Ste98c] G. W. Stewart. The tri- (print), 1572-9125 (electronic). angular matrices of Gaussian REFERENCES 43

elimination and related decom- d.html; http://www.loc.gov/ positions. Technical Report catdir/enhancements/fy0726/ UMIACS-TR-95-91, Institute for 97044449-t.html. A series of lec- Advanced Computer Studies, tures on advanced numerical anal- University of Maryland, College ysis presented at the University Park, MD, USA, October 15, of Maryland at College Park and 1998. URL http://drum.lib. recorded after the fact. umd.edu/handle/1903/759. Stewart:1998:MAV Stewart:1998:TAE [Ste98g] G. W. (Gilbert W.) Stewart. Ma- [Ste98d] G. W. Stewart. Two algorithms trix algorithms. Volume 1. Basic for the the eﬃcient computation decompositions. SIAM (Society of truncated pivoted QR approxi- for Industrial and Applied Math- mations to a sparse matrix. Tech- ematics), Philadelphia, PA, USA, nical Report UMIACS-TR-98-12, 1998. ISBN 0-89871-414-1. xix + Institute for Advanced Computer 458 pp. LCCN QA188 .S714 1998. Studies, University of Maryland, Basic decompositions. College Park, MD, USA, Octo- Stewart:1999:BRN ber 15, 1998. URL http://drum. lib.umd.edu/handle/1903/941. [Ste99a] G. W. Stewart. Book reviews: Stewart:1998:TSR Numerical linear algebra,by Lloyd N. Trefethen and David [Ste98e] G. W. Stewart. Two simple resid- Bau, III. Mathematics of Compu- ual bounds for the eigenvalues tation, 68(225):??, January 1999. of Hermitian matrices. Techni- CODEN MCMPAF. ISSN 0025- cal Report UMIACS-TR-89-123, 5718 (print), 1088-6842 (elec- Institute for Advanced Computer tronic). URL http://www.ams. Studies, University of Maryland, org/jourcgi/jour-pbprocess? College Park, MD, USA, Octo- fn=110&arg1=S0025-5718-99- ber 15, 1998. URL http://drum. 00992-8&u=/mcom/1999-68-225/ lib.umd.edu/handle/1903/545. . Stewart:1998:AGG Stewart:1999:FAE [Ste98f] G. W. (Gilbert W.) Stewart. Af- [Ste99b] G. W. Stewart. Four algo- ternotes goes to graduate school: rithms for the eﬃcient com- lectures on advanced numer- putation of truncated pivoted ical analysis. SIAM (Soci- QR approximations to a sparse ety for Industrial and Applied matrix. Numerische Mathe- Mathematics), Philadelphia, PA, matik, 83(2):313–323, August USA, 1998. ISBN 0-89871-404- 1999. CODEN NUMMA7. 4 (paperback). xii + 245 pp. ISSN 0029-599X (print), 0945- LCCN QA297 .S784 1998. URL 3245 (electronic). URL http:/ http://www.loc.gov/catdir/ /link.springer-ny.com/link/ enhancements/fy0726/97044449- service/journals/00211/bibs/ REFERENCES 44

9083002/90830313.htm; http: Stewart:2000:DAM //link.springer-ny.com/link/ service/journals/00211/papers/[Ste00b] G. W. Stewart. The de- 9083002/90830313.pdf. compositional approach to matrix computation. Comput- Stewart:1999:QAS ing in Science and Engineering, 2(1):50–59, January/February [Ste99c] G. W. Stewart. The QLP ap- 2000. CODEN CSENFA. ISSN proximation to the singular value 1521-9615 (print), 1558-366X decomposition. SIAM Journal (electronic). URL http:// on Scientiﬁc Computing, 20(4): dlib.computer.org/cs/books/ 1336–1348, July 1999. CO- cs2000/pdf/c1050.pdf; http: DEN SJOCE3. ISSN 1064-8275 //ieeexplore.ieee.org/stamp/ (print), 1095-7197 (electronic). stamp.jsp?tp=&arnumber=814658; URL http://epubs.siam.org/ http://www.computer.org/cse/ sam-bin/dbq/article/31951. cs1999/c1050abs.htm.

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[Ste00a] G. W. Stewart. Book review: [Ste01a] G. W. Stewart. A generalization ARPACK Users’ Guide, Solution of Saad’s theorem on Rayleigh– of Large-Scale Eigenvalue Prob- Ritz approximations. Linear Al- lems with Implicitly Restarted gebra and Its Applications, 327 Arnoldi Methods. Mathematics of (1–3):115–119, April 15, 2001. Computation, 69(231):1309–1311, CODEN LAAPAW. ISSN 0024- July 2000. CODEN MCMPAF. 3795 (print), 1873-1856 (elec- ISSN 0025-5718 (print), 1088- tronic). URL http://www. 6842 (electronic). URL http: elsevier.nl/gej%2Dng/10/30/ //www.ams.org/mcom/2000-69- 19/152/25/35/abstract.html; 231/S0025-5718-00-01249-7/ http://www.elsevier.nl/gej% bookrev-S0025-5718-00-01249- 2Dng/10/30/19/152/25/35/article. 7.html; http://www.ams.org/ pdf. mcom/2000-69-231/S0025-5718- 00-01249-7/S0025-5718-00-01249- Stewart:2001:KSA 7.dvi; http://www.ams.org/ mcom/2000-69-231/S0025-5718- [Ste01b] G. W. Stewart. A Krylov– 00-01249-7/S0025-5718-00-01249- Schur algorithm for large eigen- 7.pdf; http://www.ams.org/ problems. SIAM Journal on mcom/2000-69-231/S0025-5718- Matrix Analysis and Applica- 00-01249-7/S0025-5718-00-01249- tions, 23(3):601–614, 2001. CO- 7.ps; http://www.ams.org/ DEN SJMAEL. ISSN 0895-4798 mcom/2000-69-231/S0025-5718- (print), 1095-7162 (electronic). 00-01249-7/S0025-5718-00-01249- URL http://epubs.siam.org/ 7.tex. sam-bin/dbq/article/37152. REFERENCES 45

Stewart:2001:MAV Computing, 24(1):201–207, Jan- uary 2002. CODEN SJOCE3. [Ste01c] G. W. Stewart. Matrix Al- ISSN 1064-8275 (print), 1095- gorithms. Volume II: Eigensys- 7197 (electronic). URL http:// tems. SIAM (Society for Indus- epubs.siam.org/sam-bin/dbq/ trial and Applied Mathematics), article/38898. Philadelphia, PA, USA, 2001. ISBN 0-89871-503-2 (paperback), Stewart:2002:BEB 0-89871-805-8 (e-book). xix + 469 [Ste02c] G. W. Stewart. Backward error pp. LCCN QA188 .S714 1998 v.2. bounds for approximate Krylov Stewart:2001:EGM subspaces. Linear Algebra and Its Applications, 340(1–3):81– [Ste01d] G. W. Stewart. On the 86, January 1, 2002. CO- eigensystems of graded ma- DEN LAAPAW. ISSN 0024- trices. Numerische Mathe- 3795 (print), 1873-1856 (elec- matik, 90(2):349–370, Decem- tronic). URL http://www. ber 2001. CODEN NUMMA7. elsevier.com/gej-ng/10/30/ ISSN 0029-599X (print), 0945- 19/172/27/32/abstract.html. 3245 (electronic). URL http:/ Stewart:2003:BOF /link.springer-ny.com/link/ service/journals/00211/bibs/ [Ste03a] G. W. Stewart. Building an old- 1090002/10900349.htm; http: fashioned sparse solver. Techni- //link.springer-ny.com/link/ cal Report TR-4527, Department service/journals/00211/papers/ of Computer Science, University 1090002/10900349.pdf. of Maryland, College Park, MD, USA, 2003. Also issued as Univer- Stewart:2002:AKS sity of Maryland Institute for Ad- [Ste02a] G. W. Stewart. Addendum to vanced Computer Studies UMI- “A Krylov–Schur Algorithm for ACS report TR-2003-95. Large Eigenproblems”. SIAM Stewart:2003:MLD Journal on Matrix Analysis and Applications, 24(2):599– [Ste03b] G. W. Stewart. Memory leaks 601, 2002. CODEN SJMAEL. in derived types revisited. ACM ISSN 0895-4798 (print), 1095- Fortran Forum, 22(3):25–27, De- 7162 (electronic). URL http:// cember 2003. CODEN ???? epubs.siam.org/sam-bin/dbq/ ISSN 1061-7264 (print), 1931- article/40315. 1311 (electronic). Stewart:2002:ARQ Stewart:2003:PMP

[Ste02b] G. W. Stewart. Adjust- [Ste03c] G. W. Stewart. On the powers ing the Rayleigh quotient in of a matrix with perturbations. semiorthogonal Lanczos meth- Numerische Mathematik, 96(2): ods. SIAM Journal on Scientiﬁc 363–376, December 2003. CO- REFERENCES 46

DEN NUMMA7. ISSN 0029-599X cision ﬂoating-point arithmetic. (print), 0945-3245 (electronic). Report, Department of Computer Science, University of Maryland, Stewart:2004:ELP College Park, MD, USA, 2009. [Ste04] G. W. Stewart. An Elsner-like URL http://www.cs.umd.edu/~ perturbation theorem for general- stewart/flap/flap.html. ized eigenvalues. Linear Algebra Stewart:2009:UCC and Its Applications, 390(1):1–5, October 1, 2004. CODEN LAA- [Ste09b] G. W. Stewart. An unre- PAW. ISSN 0024-3795 (print), liable convergence criterion for 1873-1856 (electronic). Arnoldi’s method. Technical Stewart:2005:EAQ Report CMSC TR-4938, De- partment of Computer Science, [Ste05] G. W. Stewart. Error analysis University of Maryland, College of the quasi-Gram–Schmidt algo- Park, MD, USA, 2009. rithm. SIAM Journal on Ma- trix Analysis and Applications,27 Stewart:2010:DF (2):493–506, April 2005. CO- DEN SJMAEL. ISSN 0895-4798 [Ste10a] G. W. Stewart. On downdat- (print), 1095-7162 (electronic). ing QR factorizations. Techni- URL http://epubs.siam.org/ cal report, Institute for Advanced sam-bin/dbq/article/60779. Computer Studies, University of Maryland, College Park, MD, Stewart:2006:NGH USA, 2010. 1 pp.

[Ste06] G. W. Stewart. A note on Stewart:2010:SAM generalized and hypergeneralized projectors. Linear Algebra and [Ste10b] G. W. Stewart. On the semidef- Its Applications, 412(2–3):408– inite B-Arnoldi method. SIAM 411, January 15, 2006. CO- Journal on Matrix Analysis and DEN LAAPAW. ISSN 0024-3795 Applications, 31(3):1458–1468, (print), 1873-1856 (electronic). ???? 2010. CODEN SJMAEL. ISSN 0895-4798 (print), 1095- Stewart:2008:BGS 7162 (electronic). URL http:/ [Ste08] G. W. Stewart. Block Gram– /link.aip.org/link/?SML/31/ Schmidt orthogonalization. SIAM 1458/1. Journal on Scientiﬁc Computing, Stewart:2011:FHS 31(1):761–775, ???? 2008. CO- DEN SJOCE3. ISSN 1064-8275 [Ste11a] G. W. Stewart. FREDHOLM, (print), 1095-7197 (electronic). HILBERT, SCHMIDT: Three Stewart:2009:FMP fundamental papers on integral equations. Translated with [Ste09a] G. W. Stewart. Flap: A Mat- commentary by G. W. Stew- lab package for adjustable pre- art. December 15, 2011. URL REFERENCES 47

http://www.umiacs.umd.edu/~ URL http://www.umiacs.umd. stewart/FHS.pdf. edu/~stewart/Jord75.pdf.

Stewart:2011:NAO Stewart:2016:CCR

[Ste11b] G. W. Stewart. On the nu- [Ste16b] G. W. Stewart. A canonical CS merical analysis of oblique pro- representation of a pair of sub- jectors. SIAM Journal on Ma- spaces. SIAM Journal on Ma- trix Analysis and Applications,32 trix Analysis and Applications,37 (1):309–348, ???? 2011. CO- (2):539–549, 2016. CODEN SJ- DEN SJMAEL. ISSN 0895- MAEL. ISSN 0895-4798 (print), 4798 (print), 1095-7162 (elec- 1095-7162 (electronic). tronic). URL http://epubs. Stewart:1991:EGM siam.org/simax/resource/1/ sjmael/v32/i1/p309_s1; http:[SZ91a] G. W. Stewart and G. Zhang. //link.aip.org/link/?SML/32/ Eigenvalues of graded matrices 309/1. and the condition numbers of a multiple eigenvalue. Nu- Stewart:2011:WTE merische Mathematik, 58(7):703– 712, February 1991. CODEN [Ste11c] G. W. Stewart. When is twice NUMMA7. ISSN 0029-599X enough? (the oblique case). In (print), 0945-3245 (electronic). Householder Symposium XVIII on Numerical Linear Algebra, Stewart:1991:DMS June 12–17, 2011. Granlibakken Conference Center & Lodge, [SZ91b] G. W. Stewart and G. Zhang. Tahoe City, California, pages On a direct method for the solu- 220–221, 2011. URL http:// tion of nearly uncoupled Markov www.maths.manchester.ac.uk/ chains. Numerische Mathematik, ~higham/conferences/householder/ 59(1):1–11, April 1991. CO- HH11_Abstracts.pdf. DEN NUMMA7. ISSN 0029-599X (print), 0945-3245 (electronic). Stewart:2012:SLB Tomayko:1988:AOT [Ste12] G. W. Stewart. Smooth local [TTB+88] James E. Tomayko, Henry S. bases for perturbed eigenspaces. Tropp, W. Buchholz, Grace Mur- Technical report, Institute for ray Hopper, C. Strachey, Eric A. Advanced Computer Studies, Weiss, Robert M. Stewart, and University of Maryland, College Bernard A. Galler. Anecdotes: Park, MD, USA, 2012. 8 pp. Origin of the term bit; origin Stewart:2016:CJE of the word byte; the ﬁrst bug; whence the “bug”; an impossi- [Ste16a] G. W. Stewart. Camille Jor- ble program; reminiscences of Los dan 1875: Essay on the geom- Alamos; Los Alamos from be- etry of n dimensions. 2016. low; Jonathan Swift’s comput- REFERENCES 48

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