A Bibliography of Publications of James H. Wilkinson

Sven Hammarling The Numerical Algorithms Group Wilkinson House Jordan Hill Road Oxford OX2 8DR UK Tel: ?n/a? FAX: ?n/a? E-mail: [email protected] (Internet) 24 August 2021 Version 1.70

Abstract [MTTT63]. 1986 [Fox87a, IP87]. 19th [Jac78]. This bibliography records publications of the late James H. Wilkinson. 2 [Wil61e]. 22nd [Jac78]. 25 [DHW90].

6th [Pow77]. Title word cross-reference 90s [Wil70c].

$3.70 [I.70]. A [PW69]. Au = λBu Accuracy [DMW81, DMW83, PW74a]. [PW74c, Wil77a]. Ax = λBx [GUW72, ACE [Wil75c, Ano12, Cop12, Wil51b, Wil52, MW68a, MW71b, PW69, PW70a, Wil76]. B Wil54a, Wil54b, Wil54c, Wil55a, Wil80b, − H [PW69]. Bx˙ = Ax [Wil77a]. I 2ww Wil05, Wil12]. ACM [Ash87]. Admissible [Wil65e]. LR [OPW64, OPW65]. Advances [MW68d, MW71a, PW70b, PW71b, Wil65d]. [Wil77b, Wil80a, dBG78, HHT19]. Alan QL [BMRW68, BMRW71, DMW71, MW68c]. [Ano12, CK12, Cop05, Cop12]. Algebra QR [BMRW68, BMRW71, MRW70, MPW70, [HHT19, Wil54b, WR71, Wil74c, Wil74e, MRW71a, MPW71a, PW70b, PW71b, Wil77b, Wil78e, Wil86b, Wil80a, Par72]. Wil65a, Wil65d, Wil68c, Wil69b]. QZ Algebraic [FHW48b, Gra66, Par66, Wil66a, [Wil78b, Wil79]. Wil60b, Wil60d, Wil63d, Wil65b, Wil67e, Wil68d, Wil70a, Wil71c, Wil88, FHW48a, 100s [Wil67c]. 12th [Jac76]. 15th [Jac76]. Wil67b, Wil94]. Algebraicheskaya 16-19 [MTTT63]. 1954 [Wil55c]. 1962

1 2

[Wil70a]. Algebraicznych [Wil67b]. C [Par72]. Calculation Alg´ebraiques [Wil62a, Wil63a]. [BW67, BMW71, MW67, Wil54a, Wil57b, Algorithm [GUW72, MW68c, MW68d, Wil58b, Wil58a, Wil62b, Wil62c, Wil65c, MPW70, PW74b, Wat11, Wil65a, Wil68c, Wil66b, MW71d, PW71a]. Cambridge Wil69b, Wil78b, Wil79, DMW71, MRW70, [Wil67c]. Canada [ICM75]. Canonical MRW71a, MPW71a, MW71a]. Algorithms [GW75, GW76, Wil78b, Wil78c, Wil79]. [BMRW68, PW74c, Wil67f, Wil68e, Wil74c, Card [FHW48b]. Celebrating Wil74g, Bar02, BMRW71, Wil65d, Wil61e, [HH19a, HH19c]. Centenary [HH19a]. Wil70b]. Almost Center [dBG78]. Century [MHR80]. [SW81b, Wil58d, Wil59c, Wil67a, Wil68a]. Chicago [MTTT63]. Cie [Wil62a, Wil63a]. Alston [Wil75a, Wil78a]. American City [MTTT63]. Classical [Wil74a]. [MTTT63]. Analyser [Wil51a]. Analysis Clenshaw [Bar02]. Close [Wil67a, Wil68a]. [IP87, Par90, Wil60a, Wil61a, Wil61b, cm [I.70]. co [RW61]. co-diagonalization Wil62d, Wil65e, Wil67c, Wil68b, Wil68d, [RW61]. codebreaker [Cop05]. Codiagonal Wil68e, Wil71a, Wil71e, Wil72c, Wil74a, [Wil57b, Wil58b]. Coding Wil84c, Wil85, Wil86a, Jac76, Par87, Pow77, [Wil51b, Wil52, Wil55a]. Coeﬃcients Sca74, dBG78]. Analyst [Wil71f, Wil87c]. [OPW64, OPW65]. Collection Applications [Jac78, JRW62]. Applied [MHR80, Wil70b]. Comments [MTTT63]. Approximations [HW80]. [Wil71f, Wil87c]. Complex April [IP87, Jac76, MTTT63]. Arising [BMPW66, MW68d, PW70b, BMPW71, [HW80, PW71c]. Arithmetic MW71a, PW71b]. Computation [Wil63c, MTTT63]. Art [GW75, GW76, Par72, Ral65a, Ral65b, [IP87, Wil84c, Wil85, Jac76]. Aspect Wil60a, CH90]. Computational [Wil70b]. [Wil57h]. Aspects [Wil78f]. Assessment Computed [Wil55a]. Associated [SW80a, SW80b]. [DMW81, DMW83, PW74a, SW81a, Wil61f]. Atlantic [MTTT63]. August [ICM75]. Computer [BN71, Cop12, NW85, Wil57a, Automatic [Par72, Cop05, DW59, Wil48a, WCK89, Cop05, RW61]. Computers Wil48b, Wil51c]. availability [Jac78]. [JRW62, Wil74e]. Computing Award [Ash87, Wil75a, Wil78a]. [Cop05, DW59, DHW90, MW81, MHR80, Nas90, Wil48a, Wil48b, Wil51c, Wil57c, B. [TW12]. Band [MW65, MW67, PW69, DHW92, HNW+48, MTTT63, Wil55b]. MRW70, MRW71a, MW71e, MW71d]. Condition [CMSW79, Wil86b]. Based [Wil62d, Wil65e, Wil67f]. Basic Conditioned [GW75, GW76, PW79, [Wil68b, Wil78f]. Behaviour [HW76a]. Wil67d, Wil74d, Wil59a, Wil59b, Wil72b]. Birmingham [IP87]. Birth conducted [dBG78]. Conference [HH19a, NW85]. Bisection [HW76b, IP87, Jac76, Jac78, MW81, HHT19]. [BW67, BMW71, Wil62b]. Bishop [Wil67c]. Conferences [WCK89]. Congress [ICM75]. Bledy [Wil67b]. Book Considerations [DHW90, DHW92]. [Gra66, I.70, Par66, Par72, Wil66a, Wil62a, Construction [Wil80b]. Contribution Wil63a, Wil67c, Wil70b, Wil70c]. bound [Par90, Pow77, Par87]. Convergence [Bar03]. Bounds [OW82, SW80a, SW81a, [Wil65d, Wil68c, Wil69b, Wil62g]. Wil61f, Bar02, SW80b]. Brain [Cop12]. Copeland [TW12]. Cornelius [Sca74]. Britain [Wil57c]. British [Wil57a, WCK89]. Coupling [DGKW84b]. cyclic [Wil62g]. Broyden [PW74b]. Build [Cop12, Cop05]. 3

D [Wil67c, Wil70b]. Data [Wil51a]. Wil60c, Wil61c, Wil61d, Wil67d, Wil67e, December [Wil55c]. Decomposition Wil71a, Wil76, Wil78c, BMPW71, FHW48a, [MW65, MPW65, Wil74f, Wil78f, MPW71c, MPW71b, MW71d, Wil70c, Wil62a, Wil63a]. MW71e]. Defective [SW81b]. Defined Error [OW82, Ral65a, Ral65b, SW80a, [OPW64, OPW65]. Definite SW81a, Wil60a, Wil61a, Wil61b, Wil61f, [MW65, MPW65, MPW66, MPW71b, Wil62d, Wil65e, Wil68b, Wil68d, Wil68e, MPW71c, MW71e]. Deflation [PW74b]. Wil71e, Wil74a, Wil84c, Wil85, Wil86a, Design [Wil51c, Wil57a]. DEUCE Bar02, Bar03, SW80b]. Errors [Gra66, [Wil57d, Wil80b]. Diagonal Wil60d, Wil63b, Wil63d, Wil67b, Wil94]. [Wil62f, Wil67a, Wil68a]. diagonalization Essays [MHR80]. Estimate [CMSW79]. [RW61]. Difference [HW80]. Differential evaluation [Bar02, Bar03, Wil59a, Wil59b]. [HW80, Wil57e, Wil61c, Wil71a, Wil76, Example [CS20, Wil57d]. Examples Wil77a, Wil78c]. Digital [BN71, CS20]. Expanded [Wil74b]. [JRW62, Ral65a, Ral65b, Wil57a, Wil74e]. Experimental [MTTT63]. Expounded Direct [Wil61b, Wil67e]. Discussion [Wil74b]. [Wil71a, HNW+48, Wil69b]. divisors [Wil84a]. Dr [Pow77]. Dr. [Fox87b]. Drazin F.R.S. [Fox87b]. Facilities [Wil57c]. [Wil78d, Wil82]. Durand [Wil62a, Wil63a]. Fastest [Cop12]. Feingold [Wil87b]. fifteenth [MTTT63]. Fifth [HW76b]. Early [WCK89]. edited [TW12]. Editor Finding [Wil55d]. Finite [HW80]. first [RW62]. efficient [RW61]. Eigenpairs [Ash87]. Floating [Wil60a, Wil63c]. [FP20]. Eigenproblem Floating-Point [Wil60a, Wil63c]. Ford [MW68a, PW70a, Wil60b, MW71b, Wil72b]. [PW74b]. Foreward [FW75]. Form [GW75, Eigensystems [GW75, GW76, PW74a, GW76, MW68a, MW68b, Wil62f, Wil78b, Wil61f, Wil66b, Wil74d]. Eigenvalue Wil78c, Wil79, MW71b, MW71c, Wil65e]. [DGW82, DGKW84a, Par66, PW74c, Forms [Wil58d, Wil59c, Wil68b]. Forsythe SW80a, Wil66a, Wil62d, Wil65b, Wil70a, [Bar02]. Francis [Wat11]. Wil71c, Wil77a, Wil87a, Wil88, SW80b]. Eigenvalues [BW67, DMW81, DMW83, G [I.70, Wil67c]. Gauss [PW75]. Gaussian HVW70, PW69, Wil65a, Wil67a, Wil68a, [OW82]. General [MW68b, MW71c]. Wil84b, Wil86c, BMW71, Wil62b]. Generalization [Wil70d]. Generalized Eigenvector [SW80a, SW80b]. [PW70a, PW74c, Wil77a]. German [I.70]. Eigenvectors [DMW81, DMW83, MW67, Gerschgorin [HVW70]. Givens PW70b, PW71b, Wil57b, Wil58b, Wil58a, [RW61, RW62, Wil57b]. Gladwell [Wil67c]. MW71d, PW71a, Wil62c]. Electronic Global [Wil68c, Wil69b]. Goos [I.70]. GPO [Cop12, Wil55b]. Elementary [Wil51a]. Great [Wil57c]. Gregory [Wil58d, Wil59c, Wil70d, Wil84a]. [Wil70b]. Elimination [OW82, PW75, Wil62f]. Elliptic [HW80]. Engine H [CDD87, Eva76, Fox87b, Gra66, HH19a, [Wil51c, Cop05, DW59, Wil48a, Wil48b]. Par66, Par87, Par90, Par72, Pow77]. Engineering [JRW62]. English [I.70]. Handbook [Wil70c, Wil74b, Par72]. Hardy Equation [DGKW84b]. Equations [Fox87a, HH19c]. held [BMPW66, FHW48b, HW80, MPW66, [IP87, Jac76, Jac78, MTTT63, Pow77]. MW67, PW71c, PW79, Wil57e, Wil57g, Hermitian [DGW82, DGKW84a]. 4

Hessenberg [MW68d, MW68b, MPW70, L [Wil67c, Wil70b]. Laboratory MPW71a, MW71a, MW71c]. high [DW59, Wil48a, Wil55a, Wil58c, Wil72c, [MTTT63]. Highlights [HHT19]. History Wil80b, Wil05, Wil12]. Lamé [Wil65c]. [MHR80, Nas90]. Hoffman [Wil70d]. Lanczos [GUW72, Sca74, Wil57b, Wil58a]. honour [Sca74]. Householder LAPACK [DHW90]. Large [Wil63b]. [MRW71b, Wil78a, MRW68, RW62, Wil60b, Large-Scale [Wil63b]. Latent Wil62e, Wil75a]. Hyperbolic [Wil54a, Wil55d, Wil57f]. Least [Wil57e, Wil61c]. [GW66a, GW66b, PW70c, Wil71b]. lecture [TW05, TW12]. Lectures [Ash87]. Letter II [Par72, Wil63a, Wil59b, Wil71c, Wil86c]. [RW62]. level [RW61]. Linear II. [Wil51c]. Ill [BMPW66, FHW48b, HW76a, HW80, [GW75, GW76, PW79, Wil67d, Wil74d, HHT19, OPW64, OPW65, Par72, Wil54b, Wil86b, Wil59a, Wil59b, Wil72b]. Wil57g, Wil60c, Wil61d, Wil67d, Wil67e, Ill-Condition [Wil86b]. Ill-Conditioned Wil67f, Wil70c, Wil71b, WR71, Wil74a, [GW75, GW76, PW79, Wil67d, Wil74d, Wil74c, Wil74e, Wil74g, Wil76, Wil77b, Wil59a, Wil59b, Wil72b]. Illinois Wil77c, Wil78c, Wil78e, Wil86b, BMPW71, [MTTT63]. IMA [IP87]. IMA/SIAM FHW48a, Wil80a]. Loading [Wil57h]. [IP87]. Implicit [MW68c, DMW71]. Logical [Wil51c]. London [Pow77, Wil67c]. Improving [DMW81, DMW83]. Including Ltd [Wil70b]. [DGKW84b]. Inclusion [HVW70]. Infinite [Wil57h]. Instability [Wil62f]. M [Wil67c]. machine [CK12]. machines International [ICM75]. Interpolation [HNW+48, Wil55b]. Madison [dBG78]. [CS20, Wil67f]. Interview [Eva76]. Manitoba [HW76b, MW81]. Masson Introduction [Wil71c, Wil71b, TW12]. [Wil62a, Wil63a]. master [Cop05]. Introductory [Wil71d, Wil71a]. Invariant Mathematical [MTTT63]. [DHW90, PW74a, SW81a, Wil75b, DHW92]. Mathematicians [ICM75]. Mathematics Inverse [PW79, Wil72a, Wil74d, Wil78d, [Eva74, HW76b, MW81, dBG78, MTTT63]. Wil82, PW71a, Wil62c]. Inverses [PW70c]. Matrices [BMRW68, DGW82, DGKW84a, Inversion [DGKW84b, Wil61b, Wil70c]. FP20, HVW70, MW65, MW67, MW68d, Inverting [Wil74g]. Iteration PW70b, SW81b, Wil54a, Wil55d, Wil57b, [PW79, Wil72a, Wil74d, PW71a, Wil62c]. Wil57g, Wil57f, Wil58b, Wil61d, Wil65a, Iterative [GW66a, GW66b, HW76a, Wil65e, Wil66b, Wil67a, Wil68a, Wil70b, MPW66, MPW71b, Wil55d]. Wil74g, BMRW71, MRW70, MPW70, MRW71a, MPW71a, MW71a, MW71e, J [Fox87b, Gra66, Par66, Par72, Pow77]. J. MW71d, PW71b, Wil62e, Wil72b, Wil84a]. [Eva76, I.70, Par87, Par90]. Jack [TW12]. Matrix [CMSW79, MPW65, MW68b, Jacobi [Wil62g]. James Wil58c, Wil58d, Wil59c, Wil61b, Wil62f, [CDD87, Fox87a, HH19a, HH19c]. Jersey Wil67c, Wil67e, Wil68b, Wil68e, Wil70c, [MTTT63]. Joan [Wil70c]. John BW67, BMW71, MRW68, MRW71b, [Wil70b, Wil70c]. Joint [IP87]. Jordan MPW71c, MW71c, RW61, Wil62b, Wil62c]. [GW75, GW76, PW75]. July [Pow77]. May [dBG78]. Memory [CDD87]. Method [BW67, PW79, Wil58a, Wil60b, Wil62f, Karney [Wil70b]. Kronecker BMW71, RW61, Wil62b, Wil62e]. Methods [Wil78b, Wil78c, Wil79]. [FHW48b, HW76a, Wil55d, Wil60c, Wil61b, 5

Wil67e]. Michaelson [Wil67c]. minfit [OW82]. pp [I.70, Wil62a, Wil63a, Wil70c]. [Wil74f]. Model Practical [HW76a, PW71c, Wil78d, Wil82]. [Wil51b, Wil51c, Wil52, Wil54a]. Modern Practice [Wil72a]. Precision [Wil77c]. [Wil71e, Cop05]. Modified Press [Wil67c]. Price [I.70]. Priori [MW68d, MW71a]. Multiple [Wil68d]. Problem [Wil65a, Wil67a, Wil68a]. [DGW82, DGKW84a, GUW72, PW70c, PW74c, Wil65b, Wil70a, Wil71c, Wil77a, National [DW59, Wil48a, Wil55a, Wil58c, Wil78e, Wil88, Par66, Wil66a]. problema Wil72c, Wil80b, Wil05, Wil12]. needs [Wil70a]. Problems [MW68a, PW71c, [Jac78]. neighbouring [Wil84a]. Newton Wil63b, Wil67e, Wil87a, MW71b]. [PW79]. NF [Wil62a, Wil63a]. No Proceedings [HW76b, ICM75, IP87, Jac76, [DHW90]. Note [DHW90, GW66b, HVW70, MW81, MTTT63, Pow77, Jac78, dBG78]. Wil62g, Wil72b, Wil74d, Wil78d, Wil82]. Procesach [Wil67b]. process [Wil62g]. Notes [FHW48a]. NPL [Wil75c]. Number Processes [Wil57b, Wil60d, Wil63d, Wil67b, [CMSW79]. Numerical Wil68b, Wil68d, RW62, Wil94, Gra66]. [DHW90, DHW92, Eva74, HHT19, HW76b, Produced [Wil57b]. Programmes IP87, Jac78, MW81, Par90, Wil63b, Wil70c, [Wil51a]. Programming Wil71a, Wil71f, Wil72c, Wil74e, Wil77b, [Wil51b, Wil52, Wil71b]. Programs Wil78e, Wil86b, CH90, Jac76, Par87, Pow77, [Wil58c]. Progress [Wil48b, Wil57a]. Proof Sca74, Wil80a, Wil87c, dBG78]. [Wil70d]. Pseudo [PW70c]. Numériques [Wil62a, Wil63a]. Pseudo-Inverses [PW70c]. Punched [FHW48b]. Obituary [Fox87b]. October [Fox87a, HW76b, MW81]. Optimum quadratic [Wil62g, Wil84a]. Quotes [Wil55a]. Orbit [DGKW84b]. Origin [HH19b]. [Wil68c]. Orthogonal [Wil62d, Bar02]. Oscillating [Wil57h]. other [CK12]. R [Wil67c]. Radar [Wil51a]. Ratio [Wil57h]. Readings [BN71]. Real p139 [Wil74b]. pages [Wil67c, Wil70b]. [BMPW66, PW70b, Wil65a, BMPW71, paperbound [I.70]. papers [Sca74]. Paris MPW70, MPW71a, PW71b]. Realistic [Wil62a, Wil63a]. Part [Wil71c, Wil71b]. [SW80a, SW80b]. Reducing [Wil62f]. Partial [Wil57e, Wil61c, Wil71a]. Reduction [MW68a, MW68b, MW71b, Particular [HW76a]. Perfidious [Wil84d]. Wil58d, Wil59c, MW71c]. Reference Physical [DW59, Wil48a, Wil55a, Wil58c, [HW76a]. Refinement Wil72c, Wil80b, Wil05, Wil12]. Pilot [GW66a, GW66b, MPW66, MPW71b]. [Wil51b, Wil51c, Wil52, Wil54a, Wil54b, Reinsch [Par72]. Related Wil54c, Wil55a, Wil75c, Wil80b, Wil05, [MW68a, MW71b, Wil65d]. Reliable Wil12]. Pivoting [PW75]. Plane [Wil63c]. [CH90]. Remarks [Wil61e, Wil71a, Wil71d]. Point [Wil60a, Wil63c]. Polish [Wil67b]. Report [Wil48b, Wil51c, Wil55c]. Polynomial Research [dBG78]. Residual [Wil77c]. [PW71c, PW74b, Wil84d, Bar02, Bar03]. Reversal [DGW82, DGKW84a, DGKW84b]. Polynomials [Wil65c, Wil59a, Wil59b]. Review [Gra66, I.70, Par66, Par72, Wil66a, Positive [MW65, MPW65, MPW66, Wil62a, Wil63a, Wil67c, Wil70b, Wil70c]. MPW71b, MPW71c, MW71e]. Posteriori Revisited [Wil86a]. Rigorous [Wil61f]. 6

Robert [Wil70b]. Rootfinding [CS20]. Sussex [Jac78]. Symmetric Roots [Wil54a, Wil55d, Wil57f]. Rotations [BW67, BMRW68, GUW72, MW65, [Wil63c]. Rounding [Bar02, Wil60d, MPW65, MW67, MW68a, MPW71c, Wil63d, Wil94, Bar03, Wil67b, Gra66]. MW71e, PW69, PW74c, Wil65a, BMW71, Rundungsfehler [I.70, Wil69a]. Runge BMRW71, MRW68, MRW70, MRW71a, [CS20]. Russian [Wil70a]. MRW71b, MW71b, MW71d, RW61, Wil62b, Wil62c, Wil62e]. Symmetry S [Wil67c, Wil75a, Wil78a]. S.O.R. [DGW82, DGKW84a, DGKW84b]. [HW76a]. Scale [Wil63b]. scheme [RW61]. Symposium [MTTT63, Pow77, dBG78]. Scientific [JRW62, Nas90]. Secular System [DGKW84b]. Sensitivity [Wil84b, Wil86c]. [MPW66, Wil55a, Wil77a, MPW71b]. September [Fox87a, Jac78, Wil55c]. series Systems [BMPW66, DGKW84b, HW80, [Bar02, TW05, TW12]. Sharply OPW64, OPW65, Wil71b, Wil74a, Wil74g, [OPW64, OPW65]. Shifts [Wil68c]. SIAM Wil77c, BMPW71]. [IP87]. Significance [Wil78d, Wil82]. Similarity T [Wil70b]. Techniques [Wil62d]. tenth [MW68b, MW71c, Wil58d, Wil59c]. Simple [MW81]. Test [Wil74g]. Testing [Wil70b]. [SW80a, SW80b]. Simultaneous their [Wil55b]. Theorem [FHW48b, FHW48a]. Single [Wil77c]. [HVW70, Wil70d, Wil87b]. Theory Single-Precision [Wil77c]. Singular [Wil72a]. Time [Wil74f, Wil78f]. Singular-Value [Wil78f]. [DGW82, DGKW84a, DGKW84b]. sobstvennyh [Wil70a]. Society [MTTT63]. Time-Reversal [DGKW84a, DGKW84b]. Software [Eva74, Jac78]. Solution Transformations [BMPW66, BMPW71, FHW48b, GW66a, [Wil58d, Wil59c, Wil62d, Wil65e]. GW66b, MPW66, MW67, MW71d, PW71c, translated [I.70]. Tri [Wil62f]. PW74c, Wil60b, Wil67d, Wil67e, Wil70c, Tri-Diagonal [Wil62f]. Triangular Wil74a, Wil77c, FHW48a, MPW71b]. [Wil58d, Wil59c]. Triangularization Solutions [PW70b]. triangularizations [PW71b]. [OPW64, OPW65, Wil62a, Wil63a]. Solving Tridiagonal [DGKW84b, Wil60c, Wil74g]. Some [BW67, Wil68c, BMW71, Wil62b, Wil62c]. [PW74c, Wil71f, Wil77b, Wil80a, Wil87c]. tridiagonalization [MRW68, MRW71b]. Sons [Wil70b, Wil70c]. Special [CDD87]. Turing [Ano12, Ash87, CK12, Cop05, specified [PW71a]. speed [MTTT63]. Spin Cop12, TW05, TW12, Wil80b]. Twentieth [DGKW84b]. Springer [I.70]. [MHR80]. twenty [Ash87]. Two Springer-Verlag [I.70]. Square [GW66a]. [Wil67f, RW61]. two-level [RW61]. Squares [GW66b, PW70c, Wil71b]. Stability [PW75, Wil58d, Wil59c]. U.S.A. [Wil55c]. unified [Bar03]. Standard [MW68a, MW71b]. State universal [CK12]. University [Wil84c, Wil85, Jac76, IP87]. store [RW61]. [IP87, Jac76, Jac78, Wil67c, dBG78]. Stream [Wil57h]. Structures [BN71]. Unsymmetric [MW67, MW71d]. Use Struggle [Cop12, Cop05]. Studies [Sca74]. [Wil55d, Wil57d, Wil65e, Wil77c]. Used Subsonic [Wil57h]. Subspaces [Wil55a]. uses [Wil55b]. [DHW90, PW74a, SW81a, Wil75b, DHW92]. Successive [Wil67f]. Survey [Wil68e]. Value [Wil74f, Wil78f]. Vancouver REFERENCES 7

[ICM75]. Vectors [Wil54a, Wil55d]. Verlag Barrio:2002:REB [I.70]. very [Wil72b]. Vibration [Wil67c]. Visit [Wil55c]. Vol [Par72]. Volume [Bar02] Roberto Barrio. Rounding er- [CDD87, Wil63a]. ror bounds for the Clenshaw and Forsythe algorithms for the eval- w [Wil67b]. Westlake [Wil70c]. Wielandt uation of orthogonal polynomial [Wil70d]. Wiley [Wil70b, Wil70c]. series. Journal of Computational Wilkinson and Applied Mathematics, 138 [Fox87a, Fox87b, Gra66, I.70, Par66, Par72, (2):185–204, January 15, 2002. Pow77, CDD87, CS20, Eva76, FP20, HH19a, CODEN JCAMDI. ISSN 0377- HH19c, HH19b, Par87, Par90, TW05, TW12]. 0427 (print), 1879-1778 (elec- Wing [Wil57h]. Wisconsin [dBG78]. Work tronic). URL http://www. [Wil80b]. Working [DHW90]. World sciencedirect.com/science/ [Cop12]. article/pii/S037704270100382X. Barrio:2003:URE x [I.70]. [Bar03] R. Barrio. A uniﬁed round- years [Ash87]. York [I.70, Jac76, Wil70c]. ing error bound for polynomial evaluation. Advances in Zaokragle´n [Wil67b]. zeros [Wil59a, Computational Mathematics,19 Wil59b]. znachenii [Wil70a]. (4):385–399, November 2003. CODEN ACMHEX. ISSN 1019-7168 (print), 1572-9044 References (electronic). URL http:// link.springer.com/article/ Anonymous:2012:ATA 10.1023/A:1024203520270.

[Ano12] Anonymous. Alan Turing’s Bowdler:1966:SRC ACE. Web site, May 28, 2012. [BMPW66] H. J. Bowdler, R. S. Martin, URL https://i-programmer. G. Peters, and J. H. Wilkin- info/history/machines/11- son. Solution of real and com- an-ace-of-a-machine.html. plex systems of linear equa- Ashenhurst:1987:ATA tions. Numerische Mathematik, 8(3):217–234, 1966. CODEN [Ash87] Robert L. Ashenhurst, editor. NUMMA7. ISSN 0029-599X ACM Turing Award Lectures: (print), 0945-3245 (electronic). the ﬁrst twenty years, 1966– See also [WR71, pp. 93–110]. 1985. ACM Press anthology se- Bowdler:1971:SRC ries. ACM Press and Addison- Wesley, New York, NY 10036, [BMPW71] H. J. Bowdler, R. S. Martin, USA and Reading, MA, USA, G. Peters, and J. H. Wilkinson. 1987. ISBN 0-201-07794-9. xviii Solution of real and complex sys- + 483 pp. LCCN QA76.24 .A33 tems of linear equations. In 1987. Wilkinson and Reinsch [WR71], REFERENCES 8

pages 93–110. ISBN 0-387- Barth:1967:CES 05414-6, 3-540-05414-6. LCCN QA251 .W67. [BW67] R. S. Martin W. Barth and J. H. Wilkinson. Calculation of the Bowdler:1968:ASM eigenvalues of a symmetric tridiagonal matrix by the method of [BMRW68] H. J. Bowdler, R. S. Martin, bisection. Numerische Mathe- C. Reinsch, and J. H. Wilkin- matik, 9(5):386–393, April 1967. son. The QR and QL al- CODEN NUMMA7. ISSN 0029- gorithms for symmetric matri- 599X (print), 0945-3245 (elec- ces. Numerische Mathematik, tronic). Also in [WR71, pp. 249– 11(4):293–306, 1968. CODEN 256]. NUMMA7. ISSN 0029-599X (print), 0945-3245 (electronic). Chatelin:1987:SVM See also [WR71, pp. 227–240]. [CDD87] F. Chatelin, J. Dongarra, and Bowdler:1971:ASM I. Duﬀ. Special volume in memory of James H. Wilkinson. Lin- [BMRW71] H. Bowdler, R. S. Martin, C. H. ear Algebra and its Applications, Reinsch, and J. H. Wilkinson. 88–89(??):??, ???? 1987. CO- The QR and QL algorithms for DEN LAAPAW. ISSN 0024- symmetric matrices. In Wilkin- 3795 (print), 1873-1856 (elec- son and Reinsch [WR71], pages tronic). URL http://www. 227–240. ISBN 0-387-05414-6, sciencedirect.com/science/ 3-540-05414-6. LCCN QA251 journal/00243795/88-89. .W67. Cox:1990:RNC Barth:1971:CES [CH90] M. G. Cox and S. Hammar- [BMW71] W. Barth, R. S. Martin, and ling, editors. Reliable numerical J. H. Wilkinson. Calculation computation. Oxford University of the eigenvalues of a symmet- Press, Walton Street, Oxford ric tridiagonal matrix by the OX2 6DP, UK, 1990. ISBN 0-19- method of bisection. In Wilkin- 853564-3. LCCN QA297 .R435 son and Reinsch [WR71], pages 1990. US$75.00. Based on pa- 249–256. ISBN 0-387-05414-6, pers from a conference in honour 3-540-05414-6. LCCN QA251 of the late James Hardy Wilkin- .W67. son (died Sunday 5th October Bell:1971:CSR 1986) held at National Physical Laboratory, Teddington, Mid- [BN71] C. G. Bell and A. Newell, dlesex, UK, 8th–10th July 1987. editors. Computer Struc- Campbell-Kelly:2012:ATO tures: Readings and Examples. McGraw-Hill, New York, 1971. [CK12] Martin Campbell-Kelly. Alan ISBN 0-07-004357-4. LCCN Turing’s other universal ma- TK7888.3 .B4. chine. Communications of the REFERENCES 9

ACM, 55(7):31–33, July 2012. Corless:2020:REI CODEN CACMA2. ISSN 0001- 0782 (print), 1557-7317 (elec- [CS20] Robert M. Corless and Leili Raﬁee tronic). Sevyeri. The Runge example for interpolation and Wilkin- Cline:1979:ECN son’s examples for rootﬁnding. SIAM Review, 62(1):231–243, [CMSW79] A. K. Cline, C. B. Moler, G. W. ???? 2020. CODEN SIREAD. Stewart, and J. H. Wilkinson. ISSN 0036-1445 (print), 1095- An estimate for the condition 7200 (electronic). number of a matrix. SIAM Jour- nal on Numerical Analysis,16 deBoor:1978:RAN (2):368–375, April 1979. CO- [dBG78] Carl de Boor and Gene H. DEN SJNAAM. ISSN 0036-1429 Golub, editors. Recent ad- (print), 1095-7170 (electronic). vances in numerical analysis: proceedings of a symposium con- Copeland:2005:ATA ducted by the Mathematics Re- search Center, the University [Cop05] B. Jack Copeland, editor. of Wisconsin–Madison, May 22– Alan Turing’s Automatic Com- 24, 1978, volume 41 of Publ. puting Engine: the master Math. Res. Center Univ. Wis- codebreaker’s struggle to build consin. Academic Press, New the modern computer. Ox- York, NY, USA, 1978. ISBN ford University Press, Wal- 0-12-208360-1. LCCN QA297 ton Street, Oxford OX2 6DP, S994 1978. UK, 2005. ISBN 0-19-856593- 3 (hardcover). xx + 553 Dongarra:1984:EPH pp. LCCN QA75 .A43 2005. [DGKW84a] J. J. Dongarra, J. R. Gabriel, URL http://ukcatalogue. D. D. Koelling, and J. H. oup.com/product/9780198565932. Wilkinson. The eigenvalue prob- do; http://www.oxfordscholarship. lem for Hermitian matrices with com/oso/public/content/maths/ time-reversal symmetry. Lin- 9780198565932/toc.html. ear Algebra and its Applications, Copeland:2012:ATE 60:27–42, 1984. CODEN LAA- PAW. ISSN 0024-3795 (print), [Cop12] B. Jack Copeland, editor. Alan 1873-1856 (electronic). Turing’s Electronic Brain: the Dongarra:1984:SSE Struggle to Build the ACE, the World’s Fastest Computer. Ox- [DGKW84b] J. J. Dongarra, J. R. Gabriel, ford University Press, Walton D. D. Koelling, and J. H. Street, Oxford OX2 6DP, UK, Wilkinson. Solving the secu- 2012. ISBN 0-19-960915-2 (pa- lar equation including spin or- perback). xxi + 553 pp. LCCN bit coupling for systems with in- ???? UK $14.99. version and time-reversal sym- REFERENCES 10

metry. Journal of Computa- computing invariant subspaces. tional Physics, 54(2):278–288, SIAM Journal on Matrix Analy- May 1984. CODEN JCTPAH. sis and Applications, 13(1):145– ISSN 0021-9991 (print), 1090- 161, 1992. CODEN SJMAEL. 2716 (electronic). URL http:// ISSN 0895-4798 (print), 1095- www.netlib.org/utk/people/ 7162 (electronic). JackDongarra/PAPERS/Inversion- and-Time-Reversal-Symmetry. Dubrulle:1971:IA pdf; http://www.sciencedirect.[DMW71] A. Dubrulle, R. S. Martin, and com/science/article/pii/0021999184901190J.. H. Wilkinson. The implicit Dongarra:1982:EPH QL algorithm. In Wilkinson and Reinsch [WR71], pages 241– [DGW82] J. J. Dongarra, J. R. Gabriel, 248. ISBN 0-387-05414-6, 3-540- and J. H. Wilkinson. The 05414-6. LCCN QA251 .W67. eigenvalue problem for Hermi- Dongarra:1981:IAC tian matrices with time reversal symmetry. Technical Memoran- [DMW81] J. J. Dongarra, C. B. Moler, and dum 3, Mathematics and Com- J. H. Wilkinson. Improving the puter Science Division, Argonne accuracy of computed eigenval- National Laboratory, Argonne, ues and eigenvectors. Techni- Illinois 60439, USA, 1982. Pub- cal Report ANL-81-43, Applied lished as [DGKW84a] where D. Mathematics Division, Argonne D. Koelling is also an author. National Laboratory, Argonne, Illinois 60439, USA, 1981. Pub- Dongarra:1990:NCC lished as [DMW83]. [DHW90] J. J. Dongarra, S. Hammarling, Dongarra:1983:IAC and J. H. Wilkinson. Numeri- cal considerations in computing [DMW83] J. J. Dongarra, C. B. Moler, invariant subspaces. LAPACK and J. H. Wilkinson. Improving Working Note No. 25. Techni- the accuracy of computed eigen- cal Report CS-90-117, Depart- values and eigenvectors. SIAM ment of Computer Science, Uni- Journal on Numerical Analy- versity of Tennessee, 107 Ayres sis, 20(1):23–45, February 1983. Hall, Knoxville, TN 37996-1301, CODEN SJNAAM. ISSN 0036- USA, 1990. Also produced 1429 (print), 1095-7170 (elec- as Oak Ridge National Labora- tronic). tory Report, ORNL/TM-11704. Published as [DHW92]. Davies:1959:ACE Dongarra:1992:NCC [DW59] D. W. Davies and J. H. Wilkin- son. The Automatic Computing [DHW92] Jack J. Dongarra, Sven Ham- Engine at the National Physical marling, and James H. Wilkin- Laboratory. Nature, Lond., 183: son. Numerical considerations in 22–23, 1959. REFERENCES 11

Evans:1974:SNM oirs of Fellows of the Royal Soci- ety, 33:671–708, December 1987. [Eva74] D. J. Evans, editor. Soft- CODEN BMFRA3. ISSN 0080- ware for Numerical Mathemat- 4606 (print), 1748-8494 (elec- ics. Academic Press, New York, tronic). URL http://www. NY, USA, 1974. ISBN 0-12- jstor.org/stable/769967. 243750-0. LCCN QA297 .S591. Proceedings of the IMA Confer- Fox:1987:ODJ ence, Loughborough University [Fox87b] Leslie Fox. Obituary: Dr. of Technology, 1973. J. H. Wilkinson, F.R.S. The Evans:1976:IJH Computer Journal, 30(1):1, 1987. CODEN CMPJA6. [Eva76] Christopher Evans. Interview ISSN 0010-4620 (print), 1460- with J. H. Wilkinson, page ?? 2067 (electronic). URL http: Number 10 in Pioneers of Com- //www3.oup.co.uk/computer_ puting, 60-Minute Recordings journal/hdb/Volume_30/Issue_ of Interviews. Science Museum, 01/tiff/1.tif. London, UK, 1976. Ferreira:2020:EWM Fox:1948:NSA [FP20] Carla Ferreira and Beresford [FHW48a] L. Fox, H. D. Huskey, and J. H. Parlett. Eigenpairs of Wilkinson Wilkinson. Notes on the solution matrices. SIAM Journal on Ma- of algebraic linear simultaneous trix Analysis and Applications, equations. Quarterly Journal of 41(3):1388–1415, ???? 2020. Mechanics and Applied Mathe- CODEN SJMAEL. ISSN 0895- matics, 1:149–173, 1948. CO- 4798 (print), 1095-7162 (elec- DEN QJMMAV. ISSN 0033- tronic). 5614 (print), 1464-3855 (electronic). Fox:1975:F Fox:1948:SAL [FW75] L. Fox and J. H. Wilkinson. Foreward. In The NAG Library [FHW48b] L. Fox, H. D. Huskey, and J. H. Manual, pages 1–3. The Nu- Wilkinson. The solution of alge- merical Algorithms Group Ltd, braic linear simultaneous equa- Wilkinson House, Jordan Hill tions by punched card methods. Road, Oxford OX2 8DR, UK, Maths, National Physical Lab- 1975. oratory, Teddington, Middlesex TW11 0LW, UK, 1948. Grau:1966:BRB Fox:1987:JHW [Gra66] A. A. Grau. Book review: Rounding Errors in Algebraic [Fox87a] L. Fox. James Hardy Wilkin- Processes (J. H. Wilkinson). son: 27 September 1919–5 Oc- SIAM Review, 8(3):397–398, tober 1986. Biographical Mem- ???? 1966. CODEN SIREAD. REFERENCES 12

ISSN 0036-1445 (print), 1095- Golub:1976:ICE 7200 (electronic). [GW76] G. H. Golub and J. H. Wilkin- Golub:1972:LAS son. Ill-conditioned eigensystems and the computation of the [GUW72] G. H. Golub, R. Underwood, Jordan canonical form. SIAM and J. H. Wilkinson. The Lanc- Review, 18(4):578–619, 1976. zos algorithm for the symmetric CODEN SIREAD. ISSN 0036- Ax = λBx problem. Technical 1445 (print), 1095-7200 (elec- Report CS-72-270, Computer tronic). Science Department, Stanford University, Stanford, California Hammarling:2019:CCJ 94305, USA, 1972. [HH19a] Sven Hammarling and Nick Golub:1966:IRL Higham. Celebrating the centenary of James H. Wilkinson’s [GW66a] G. H. Golub and J. H. Wilkin- birth. Web site and conference, son. Iterative reﬁnement of least May 29–30, 2019. URL https:/ square solution. In Proceedings /nla-group.org/2019/01/21/ of the IFIP Congress 65, Volume celebrating-the-centenary- 2, pages 606–607. International of-james-h-wilkinsons-birth/ Federation for Information Pro- . cessing (IFIP), 1966. Hammarling:2019:WQ Golub:1966:NIR [HH19b] Sven Hammarling and Nick [GW66b] G. H. Golub and J. H. Wilkin- Higham. Wilkinson quotes. son. Note on the iterative reﬁne- Web site, May 13, 2019. ment of least squares solution. URL https://nla-group.org/ Numerische Mathematik, 9(2): 2019/05/13/wilkinson-quotes/ 139–148, December 1966. CO- . DEN NUMMA7. ISSN 0029- Hammarling:2019:CJH 599X (print), 0945-3245 (electronic). [HH19c] Sven J. Hammarling and Nicholas J. Higham. Celebrating James Golub:1975:ICE Hardy Wilkinson. Mathematics [GW75] G. H. Golub and J. H. Wilkin- Today, 55(4):131, 2019. ISSN son. Ill-conditioned eigensys- 1361-2042. tems and the computation of the Hammarling:2019:HAN Jordan canonical form. Tech- nical Report STAN-CS-75-478, [HHT19] Sven Hammarling, Nick Higham, Computer Science Department, and Fran¸coise Tisseur. High- Stanford University, Stanford, lights of Advances in Nu- California 94305, USA, 1975. merical Linear Algebra Con- Published as [GW76]. ference. Web site., June REFERENCES 13

19, 2019. URL https:/ Hartnell:1976:PFM /nla-group.org/2019/06/19/ highlights-of-advances-in- [HW76b] B. L. Hartnell and H. C. numerical-linear-algebra- Williams, editors. Proceedings conference/. of the Fifth Manitoba Confer- ence on Numerical Mathemat- Hartree:1948:DCM ics, October 1–4, 1975, number 16 in Congressus numer- [HNW+48] D. R. Hartree, M. H. A. New- antium. Utilitas Mathematica man, M. V. Wilkes, F. C. Publishers, Winnipeg, Mani- Williams, J. H. Wilkinson, and toba, Canada, 1976. ISBN A. D. Booth. A discussion 0-919628-16-8. LCCN QA297 on computing machines. Pro- .M33 1975. ceedings of the Royal Society of Hammarling:1980:LSA London. Series A, Mathemati- cal and physical sciences, 195 [HW80] S. Hammarling and J. H. (1042):265–287 (2 plates), De- Wilkinson. On linear systems cember 22, 1948. CODEN arising from finite difference ap- PRLAAZ. ISSN 0080-4630. proximations to elliptic differen- URL http://www.jstor.org/ tial equations. Technical Re- stable/98328. port DNACS 34/80, National Physical Laboratory, Tedding- Householder:1970:NGI ton, Middlesex TW11 0LW, UK, 1980. [HVW70] Alston S. Householder, Richard S. I:1970:BRJ Varga, and James H. Wilkinson. A note on Gerschgorin’s inclu- [I.70] E. I. Book review: J. A. Wilkin- sion theorem for eigenvalues of son, Rundungsfehler, translated matrices. Numerische Mathe- from English into German by matik, 16:141–144, 1970. CO- G. Goos, Springer-Verlag, New DEN NUMMA7. ISSN 0029- York, 1969, x + 208 pp., 21 599X (print), 0945-3245 (elec- cm. Price $3.70 (paperbound). tronic). Mathematics of Computation, 24(109):229–230, January 1970. Hammarling:1976:PBL CODEN MCMPAF. ISSN 0025- 5718 (print), 1088-6842 (elec- [HW76a] S. Hammarling and J. H. tronic). URL http://www. Wilkinson. The practical be- jstor.com/stable/2004899. haviour of linear iterative meth- ICM:1974:PIC ods with particular reference to S.O.R. Technical Report [ICM75] Proceedings of the International NAC 69, National Physical Lab- Congress of Mathematicians, oratory, Teddington, Middlesex Vancouver, Canada, August 21– TW11 0LW, UK, 1976. 29, 1974. Canadian Mathemati- REFERENCES 14

cal Congress, Montréal, Québec, 1977. Academic Press, New Canada, 1975. ISBN 0-8218- York, NY, USA, 1978. ISBN 0- 3059-7. LCCN QA3 .A572. 12-378660-6. LCCN QA297 C74 1977. UK$11.60. Iserles:1987:SAN Jacobson:1962:SEA [IP87] A. Iserles and M. J. D. Pow- ell, editors. State of the Art in Numerical Analysis. Proceed- [JRW62] A. W. Jacobson, S. Rosen, and ings of the Joint IMA/SIAM J. H. Wilkinson. Scientific and Conference held at the Uni- engineering applications of digi- versity of Birmingham, 14–18 tal computers. In H. D. Huskey April 1986, volume 9 of The and G. A. Korn, editors, Com- Institute of Mathematics and puter Handbook, pages 21:2– Its Applications conference se- 21:13. McGraw-Hill, New York, ries; new series. Oxford Uni- 1962. Section 2.1. versity Press, Walton Street, Metropolis:1980:HCT Oxford OX2 6DP, UK, 1987. ISBN 0-19-853614-3. LCCN [MHR80] Nicholas Metropolis, Jack Howlett, QA297.J65 1986. URL http: and Gian-Carlo Rota, editors. //www.gbv.de/dms/hbz/toc/ A History of Computing in the ht002967923.pdf; http:// Twentieth Century: a Collection zbmath.org/?q=an:0611.00024. of Essays. Academic Press, New Jacobs:1976:SAN York, NY, USA, 1980. ISBN 0-12-491650-3, 1-4832-9668-7 (e- [Jac76] David A. H. Jacobs, editor. book). LCCN QA75.5 .I63 1976. The state of the art in nu- Original versions of these pa- merical analysis: Proceedings pers were presented at the In- of the Conference on the State ternational Research Conference of the Art in Numerical Anal- on the History of Computing, ysis held at the University of held at the Los Alamos Scientific York, April 12th–15th, 1976. Laboratory, 10–15 June 1976. Academic Press, New York, NY, USA, 1976. ISBN 0-12-378650-9. Martin:1965:SDPb LCCN QA297 .C6461 1976. Jacobs:1978:NSN [MPW65] R. S. Martin, G. Peters, and J. H. Wilkinson. Symmetric de- [Jac78] D. A. H. Jacobs, editor. Numeri- composition of a positive defi- cal software, needs and availabil- nite matrix. Numerische Math- ity: proceedings of the Confer- ematik, 7(5):362–383, October ence on Applications of Numer- 1965. CODEN NUMMA7. ISSN ical Software, Needs and Avail- 0029-599X (print), 0945-3245 ability, held at the University (electronic). Also in [WR71, pp. of Sussex, September 19th–22nd, 9–30]. REFERENCES 15

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[MPW66] R. S. Martin, G. Peters, and [MPW71c] R. S. Martin, G. Peters, and J. H. Wilkinson. Iterative re- J. H. Wilkinson. Symmetric de- finement of the solution of a composition of a positive def- positive definite system of equa- inite matrix. In Wilkinson tions. Numerische Mathematik, and Reinsch [WR71], pages 9– 8(3):203–216, May 1966. CO- 30. ISBN 0-387-05414-6, 3-540- DEN NUMMA7. ISSN 0029- 05414-6. LCCN QA251 .W67. 599X (print), 0945-3245 (elec- Martin:1968:HTS tronic). Also in [WR71, pp. 31– 44]. [MRW68] R. S. Martin, C. Reinsch, and J. H. Wilkinson. Householder’s Martin:1970:ARH tridiagonalization of a symmetric matrix. Numerische Math- [MPW70] R. S. Martin, G. Peters, and ematik, 11(3):181–195, March J. H. Wilkinson. The QR al- 1968. CODEN NUMMA7. ISSN gorithm for real Hessenberg ma- 0029-599X (print), 0945-3245 trices. Numerische Mathematik, (electronic). Also in [WR71, pp. 14(3):219–231, February 1970. 212–226]. CODEN NUMMA7. ISSN 0029- 599X (print), 0945-3245 (elec- Martin:1970:ABS tronic). Also in [WR71, pp. 359– [MRW70] R. S. Martin, C. Reinsch, and 371]. J. H. Wilkinson. The QR algorithm for band symmetric Martin:1971:ARH matrices. Numerische Mathe- matik, 16(2):85–92, November [MPW71a] R. S. Martin, G. Peters, and 1970. CODEN NUMMA7. ISSN J. H. Wilkinson. The QR 0029-599X (print), 0945-3245 algorithm for real Hessenberg (electronic). See also [WR71, matrices. In Wilkinson and pp. 266–272]. Reinsch [WR71], pages 359– 371. ISBN 0-387-05414-6, 3-540- Martin:1971:ABS 05414-6. LCCN QA251 .W67. [MRW71a] R. S. Martin, C. H. Reinsch, Martin:1971:IRS and J. H. Wilkinson. The QR algorithm for band sym- [MPW71b] R. S. Martin, G. Peters, and metric matrices. In Wilkinson J. H. Wilkinson. Iterative refine- and Reinsch [WR71], pages 266– ment of the solution of a positive 272. ISBN 0-387-05414-6, 3-540- definite system of equations. In 05414-6. LCCN QA251 .W67. Wilkinson and Reinsch [WR71], Martin:1971:HTS pages 31–44. ISBN 0-387-05414- 6, 3-540-05414-6. LCCN QA251 [MRW71b] R. S. Martin, C. H. Reinsch, .W67. and J. H. Wilkinson. House- REFERENCES 16

holder’s tridiagonalization of a tronic). Also in [WR71, pp. 70– symmetric matrix. In Wilkinson 92]. and Reinsch [WR71], pages 212– Martin:1968:RSE 226. ISBN 0-387-05414-6, 3-540- 05414-6. LCCN QA251 .W67. [MW68a] R. S. Martin and J. H. Wilkin- son. Reduction of the symmet- Metropolis:1963:PFS ric eigenproblem Ax = λBx [MTTT63] N. Metropolis, A. H. Taub, John and related problems to stan- Todd, and C. B. Tompkins, ed- dard form. Numerische Math- itors. Experimental arithmetic, ematik, 11(2):99–110, February high speed computing and math- 1968. CODEN NUMMA7. ISSN ematics: Proceedings of the fif- 0029-599X (print), 0945-3245 teenth Symposium in Applied (electronic). Also in [WR71, pp. Mathematics of the American 303–314]. Mathematical Society held in Martin:1968:SRG Chicago, Illinois, April 12–14, 1962 and Atlantic City, New [MW68b] R. S. Martin and J. H. Wilkin- Jersey, April 16-19, 1962, vol- son. Similarity reduction of ume 15. American Mathematical a general matrix to Hessenberg Society, Providence, RI, USA, form. Numerische Mathematik, 1963. LCCN QA297 .S987 1962. 12(5):349–368, December 1968. CODEN NUMMA7. ISSN 0029- Martin:1965:SDPa 599X (print), 0945-3245 (electronic). Also in [WR71, pp. 339– [MW65] R. S. Martin and J. H. Wilkin- 358]. son. Symmetric decomposition of positive definite band matri- Martin:1968:IA ces. Numerische Mathematik,7 [MW68c] Roger S. Martin and J. H. (5):355–361, October 1965. CO- Wilkinson. The implicit QL DEN NUMMA7. ISSN 0029- algorithm. Numerische Math- 599X (print), 0945-3245 (elec- ematik, 12(5):377–383, Decem- tronic). Also in [WR71, pp. 50– ber 1968. CODEN NUMMA7. 56]. ISSN 0029-599X (print), 0945- Martin:1967:SSU 3245 (electronic). Also in [WR71, pp. 241–248], where A. [MW67] R. S. Martin and J. H. Wilkin- A. Dubrulle and is listed as the son. Solution of symmetric lead author. and unsymmetric band equa- Martin:1968:MAC tions and the calculation of eigenvectors of band matrices. [MW68d] Roger S. Martin and J. H. Numerische Mathematik, 9(4): Wilkinson. The modified LR al- 279–301, February 1967. CO- gorithm for complex Hessenberg DEN NUMMA7. ISSN 0029- matrices. Numerische Mathe- 599X (print), 0945-3245 (elec- matik, 12(5):369–376, December REFERENCES 17

1968. CODEN NUMMA7. ISSN Martin:1971:SDPb 0029-599X (print), 0945-3245 (electronic). Also in [WR71, pp. [MW71e] R. S. Martin and J. H. Wilkin- 396–403]. son. Symmetric decomposition of positive definite band matri- Martin:1971:MAC ces. In Wilkinson and Rein- sch [WR71], pages 50–56. ISBN [MW71a] R. S. Martin and J. H. Wilkin- 0-387-05414-6, 3-540-05414-6. son. The modified LR algo- LCCN QA251 .W67. rithm for complex Hessenberg matrices. In Wilkinson and Meek:1981:PTM Reinsch [WR71], pages 396– [MW81] D. S. Meek and Hugh C. 403. ISBN 0-387-05414-6, 3-540- Williams, editors. Proceedings of 05414-6. LCCN QA251 .W67. the tenth Manitoba Conference Martin:1971:RSE on Numerical Mathematics and Computing, October 1–4, 1980, [MW71b] R. S. Martin and J. H. Wilkin- volume 30–31 of Congressus Nu- son. Reduction of the symmet- merantium. Utilitas Mathemat- ric eigenproblem Ax = λBx ica Publishers, Winnipeg, Man- and related problems to stan- itoba, Canada, 1981. ISBN 0- dard form. In Wilkinson and 919628-30-3 (vol. 1) 0-919628- Reinsch [WR71], pages 303– 31-1 (vol. 2). ISSN 0384-9864. 314. ISBN 0-387-05414-6, 3-540- 05414-6. LCCN QA251 .W67. Nash:1990:HSC Martin:1971:SRG [Nas90] Stephen G. Nash, editor. A History of Scientific Computing, [MW71c] R. S. Martin and J. H. Wilkin- ACM Press history series. Addi- son. Similarity reduction of son-Wesley and ACM Press, Ad- a general matrix to Hessen- dison-Wesley and New York, NY berg form. In Wilkinson and 10036, USA, 1990. ISBN 0-201- Reinsch [WR71], pages 339– 50814-1. LCCN QA76.17 .H59 358. ISBN 0-387-05414-6, 3-540- 1990. 05414-6. LCCN QA251 .W67. Nash:1985:BC Martin:1971:SSU [NW85] J. C. Nash and J. H. Wilkin- [MW71d] R. S. Martin and J. H. Wilkin- son. The birth of a computer. son. Solution of symmetric BYTE Magazine, 10(2):177–??, and unsymmetric band equa- ???? 1985. CODEN BYTEDJ. tions and the calculation of ISSN 0360-5280 (print), 1082- eigenvectors of band matrices. In 7838 (electronic). Wilkinson and Reinsch [WR71], Oettli:1964:ASL pages 70–92. ISBN 0-387-05414- 6, 3-540-05414-6. LCCN QA251 [OPW64] W. Oettli, W. Prager, and J. H. .W67. Wilkinson. Admissible solu- REFERENCES 18

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04/tiff/398.tif; http:/ pseudo-inverses. The Computer /www3.oup.co.uk/computer_ Journal, 13(3):309–316, Au- journal/hdb/Volume_12/Issue_ gust 1970. CODEN CMPJA6. 04/tiff/399.tif; http:/ ISSN 0010-4620 (print), 1460- /www3.oup.co.uk/computer_ 2067 (electronic). URL http: journal/hdb/Volume_12/Issue_ //www3.oup.co.uk/computer_ 04/tiff/400.tif; http:/ journal/hdb/Volume_13/Issue_ /www3.oup.co.uk/computer_ 03/130309.sgm.abs.html; journal/hdb/Volume_12/Issue_ http://www3.oup.co.uk/computer_ 04/tiff/401.tif; http:/ journal/hdb/Volume_13/Issue_ /www3.oup.co.uk/computer_ 03/tiff/309.tif; http:/ journal/hdb/Volume_12/Issue_ /www3.oup.co.uk/computer_ 04/tiff/402.tif; http:/ journal/hdb/Volume_13/Issue_ /www3.oup.co.uk/computer_ 03/tiff/310.tif; http:/ journal/hdb/Volume_12/Issue_ /www3.oup.co.uk/computer_ 04/tiff/403.tif; http:/ journal/hdb/Volume_13/Issue_ /www3.oup.co.uk/computer_ 03/tiff/311.tif; http:/ journal/hdb/Volume_12/Issue_ /www3.oup.co.uk/computer_ 04/tiff/404.tif. journal/hdb/Volume_13/Issue_ 03/tiff/312.tif; http:/ Peters:1970:GE /www3.oup.co.uk/computer_ [PW70a] G. Peters and J. H. Wilkinson. journal/hdb/Volume_13/Issue_ Ax = λBx and the generalized 03/tiff/313.tif; http:/ eigenproblem. SIAM Journal /www3.oup.co.uk/computer_ on Numerical Analysis, 7:479– journal/hdb/Volume_13/Issue_ 492, 1970. CODEN SJNAAM. 03/tiff/314.tif; http:/ ISSN 0036-1429 (print), 1095- /www3.oup.co.uk/computer_ 7170 (electronic). journal/hdb/Volume_13/Issue_ 03/tiff/315.tif; http:/ Peters:1970:ERC /www3.oup.co.uk/computer_ journal/hdb/Volume_13/Issue_ [PW70b] G. Peters and J. H. Wilkinson. 03/tiff/316.tif. Eigenvectors of real and complex matrices by LR and QR triangu- Peters:1971:CSE larization. Numerische Mathe- [PW71a] G. Peters and J. H. Wilkin- matik, 16(3):181–204, December son. The calculation of speci- 1970. CODEN NUMMA7. ISSN ﬁed eigenvectors by inverse it- 0029-599X (print), 0945-3245 eration. In Wilkinson and (electronic). Also in [WR71, pp. Reinsch [WR71], pages 418– 372–395]. 439. ISBN 0-387-05414-6, 3-540- Peters:1970:LSP 05414-6. LCCN QA251 .W67. Peters:1971:ERC [PW70c] G. Peters and J. H. Wilkinson. The least squares problem and [PW71b] G. Peters and J. H. Wilkinson. REFERENCES 20

Eigenvectors of real and com- eigenvalue problem Au = λBu. plex matrices by LR and QR Unpublished, Circa 1974. Na- triangularizations. In Wilkinson tional Physical Laboratory, Ted- and Reinsch [WR71], pages 372– dington, Middlesex TW11 0LW, 395. ISBN 0-387-05414-6, 3-540- UK., 1974. 05414-6. LCCN QA251 .W67. Peters:1975:SGJ Peters:1971:PPA [PW75] G. Peters and J. H. Wilkin- [PW71c] G. Peters and J. H. Wilkin- son. On the stability of son. Practical problems aris- Gauss–Jordan elimination with ing in the solution of polynomial pivoting. Communications of equations. Journal of the Insti- the ACM, 18(1):20–24, Jan- tute of Mathematics and its Ap- uary 1975. CODEN CACMA2. plications, 8:16–35, 1971. CO- ISSN 0001-0782 (print), 1557- DEN JMTAA8. ISSN 0020- 7317 (electronic). Collection 2932. of articles honoring Alston S. Peters:1974:ACE Householder. Peters:1979:III [PW74a] G. Peters and J. H. Wilkin- son. Accuracy of computed [PW79] G. Peters and J. H. Wilkin- eigensystems and invariant sub- son. Inverse iteration, ill- spaces. In Scaife [Sca74], pages conditioned equations and New- 115–135. ISBN 0-12-621150-7. ton’s method. SIAM Re- LCCN QA297 .S86. URL http: view, 21(3):339–360, 1979. CO- //catalog.hathitrust.org/ DEN SIREAD. ISSN 0036-1445 Record/000575557. Festschrift (print), 1095-7200 (electronic). in honour of C. Lanczos com- missioned by the Royal Irish Rall:1965:EDCa Academy. [Ral65a] L. B. Rall, editor. Error in Dig- Peters:1974:APD ital Computation, volume 1. Wi- ley, New York, NY, USA, 1965. [PW74b] G. Peters and J. H. Wilkinson. Proceedings of an advanced sem- On an algorithm for polynomial inar conducted by the Mathe- deﬂation by Broyden and Ford. matics Research Center, United Technical Report NAC 55, Na- States Army, at the University tional Physical Laboratory, Ted- of Wisconsin, Madison, October dington, Middlesex TW11 0LW, 5–7, 1964. UK, 1974. Rall:1965:EDCb Peters:1974:SAS [Ral65b] L. B. Rall, editor. Error in Dig- [PW74c] G. Peters and J. H. Wilkinson. ital Computation, volume 2. Wi- Some algorithms for the solution ley, New York, NY, USA, 1965. of the generalized symmetric Proceedings of an advanced sem- REFERENCES 21

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ISSN 0010-4620 (print), 1460- journal/hdb/Volume_01/Issue_ 2067 (electronic). URL http: 02/tiff/94.tif; http:// //www3.oup.co.uk/computer_ www3.oup.co.uk/computer_journal/ journal/hdb/Volume_01/Issue_ hdb/Volume_01/Issue_02/tiff/ 03/010148.sgm.abs.html; 95.tif; http://www3.oup. http://www3.oup.co.uk/computer_ co.uk/computer_journal/hdb/ journal/hdb/Volume_01/Issue_ Volume_01/Issue_02/tiff/96. 03/tiff/148.tif; http:/ tif. /www3.oup.co.uk/computer_ Wilkinson:1958:MPN journal/hdb/Volume_01/Issue_ 03/tiff/149.tif; http:/ [Wil58c] J. H. Wilkinson. Matrix pro- /www3.oup.co.uk/computer_ grams at the National Physical journal/hdb/Volume_01/Issue_ Laboratory. J. ACM, 5:113–114, 03/tiff/150.tif; http:/ 1958. /www3.oup.co.uk/computer_ Wilkinson:1958:SRM journal/hdb/Volume_01/Issue_ 03/tiff/151.tif; http:/ [Wil58d] J. H. Wilkinson. Stability of /www3.oup.co.uk/computer_ the reduction of a matrix to journal/hdb/Volume_01/Issue_ almost triangular and triangu- 03/tiff/152.tif. lar forms by elementary similarity transformations. Mathe- Wilkinson:1958:CEC matics Division No. 22, National [Wil58b] J. H. Wilkinson. The cal- Physical Laboratory, Tedding- culation of the eigenvectors ton, Middlesex TW11 0LW, UK, of codiagonal matrices. The 1958. Reprinted 1962. Published Computer Journal, 1(2):90–96, as [Wil59c]. July 1958. CODEN CMPJA6. Wilkinson:1959:EZIa ISSN 0010-4620 (print), 1460- 2067 (electronic). URL http: [Wil59a] J. H. Wilkinson. The evaluation //www3.oup.co.uk/computer_ of the zeros of ill-conditioned journal/hdb/Volume_01/Issue_ polynomials. I. Numerische 02/010090.sgm.abs.html; Mathematik, 1:150–166, Decem- http://www3.oup.co.uk/computer_ ber 1959. CODEN NUMMA7. journal/hdb/Volume_01/Issue_ ISSN 0029-599X (print), 0945- 02/tiff/90.tif; http:// 3245 (electronic). www3.oup.co.uk/computer_journal/ Wilkinson:1959:EZIb hdb/Volume_01/Issue_02/tiff/ 91.tif; http://www3.oup. [Wil59b] J. H. Wilkinson. The evaluation co.uk/computer_journal/hdb/ of the zeros of ill-conditioned Volume_01/Issue_02/tiff/92. polynomials. II. Numerische tif; http://www3.oup.co. Mathematik, 1:167–180, Decem- uk/computer_journal/hdb/Volume_ ber 1959. CODEN NUMMA7. 01/Issue_02/tiff/93.tif; ISSN 0029-599X (print), 0945- http://www3.oup.co.uk/computer_ 3245 (electronic). REFERENCES 26

Wilkinson:1959:SRM http://www3.oup.co.uk/computer_ journal/hdb/Volume_03/Issue_ [Wil59c] J. H. Wilkinson. Stability of the 01/tiff/27.tif. reduction of a matrix to almost triangular and triangular forms Wilkinson:1960:MSL by elementary similarity trans- [Wil60c] J. H. Wilkinson. On methods formations. J. ACM, 6(3):336– for solving linear equations. In 359, 1959. CODEN JACOAH. Proceedings of UNESCO Con- ISSN 0004-5411 (print), 1557- ference on Information Process- 735X (electronic). ing, 1959, pages 108–109. But- Wilkinson:1960:EAF terworth, London, UK, 1960. [Wil60a] J. H. Wilkinson. Error anal- Wilkinson:1960:REA ysis of ﬂoating-point computation. Numerische Mathe- [Wil60d] J. H. Wilkinson. Rounding er- matik, 2(1):319–340, December rors in algebraic processes. In 1960. CODEN NUMMA7. ISSN Proceedings of UNESCO Con- 0029-599X (print), 0945-3245 ference on Information Process- (electronic). URL https:// ing, 1959, pages 44–53. Butter- link.springer.com/article/ worth, London, UK, 1960. 10.1007/BF01386233. Wilkinson:1961:EA Wilkinson:1960:HMS [Wil61a] J. H. Wilkinson. Error analysis. [Wil60b] J. H. Wilkinson. Householder’s In Modern Computing Methods, method for the solution of the 2nd Edition, National Physical algebraic eigenproblem. The Laboratory, Notes on Applied Computer Journal, 3(1):23–27, Science, Volume 16, pages 41– April 1960. CODEN CMPJA6. 52. HMSO, London, UK, 1961. ISSN 0010-4620 (print), 1460- 2067 (electronic). URL http: Wilkinson:1961:EAD //www3.oup.co.uk/computer_ [Wil61b] J. H. Wilkinson. Error analysis journal/hdb/Volume_03/Issue_ of direct methods of matrix in- 01/030023.sgm.abs.html; version. Journal of the ACM,8 http://www3.oup.co.uk/computer_ (3):281–330, 1961. CODEN JA- journal/hdb/Volume_03/Issue_ COAH. ISSN 0004-5411 (print), 01/tiff/23.tif; http:// 1557-735X (electronic). www3.oup.co.uk/computer_journal/ hdb/Volume_03/Issue_01/tiff/ Wilkinson:1961:HPD 24.tif; http://www3.oup. co.uk/computer_journal/hdb/ [Wil61c] J. H. Wilkinson. Hyperbolic Volume_03/Issue_01/tiff/25. partial diﬀerential equations. tif; http://www3.oup.co. In Modern Computing Methods, uk/computer_journal/hdb/Volume_ 2nd Edition, National Physical 03/Issue_01/tiff/26.tif; Laboratory, Notes on Applied REFERENCES 27

Science, Volume 16, pages 101– /www3.oup.co.uk/computer_ 111. HMSO, London, UK, 1961. journal/hdb/Volume_04/Issue_ 03/tiff/234.tif; http:/ Wilkinson:1961:LEM /www3.oup.co.uk/computer_ [Wil61d] J. H. Wilkinson. Linear equa- journal/hdb/Volume_04/Issue_ tions and matrices. In Modern 03/tiff/235.tif; http:/ Computing Methods, 2nd Edi- /www3.oup.co.uk/computer_ tion, National Physical Labora- journal/hdb/Volume_04/Issue_ tory, Notes on Applied Science, 03/tiff/236.tif; http:/ Volume 16, pages 13–33. HMSO, /www3.oup.co.uk/computer_ London, UK, 1961. journal/hdb/Volume_04/Issue_ 03/tiff/237.tif; http:/ Wilkinson:1961:RA /www3.oup.co.uk/computer_ journal/hdb/Volume_04/Issue_ [Wil61e] J. H. Wilkinson. Remarks on 03/tiff/238.tif; http:/ Algorithms 2 and 3. Com- /www3.oup.co.uk/computer_ munications of the ACM, 4(3): journal/hdb/Volume_04/Issue_ 153, March 1961. CODEN 03/tiff/239.tif; http:/ CACMA2. ISSN 0001-0782 /www3.oup.co.uk/computer_ (print), 1557-7317 (electronic). journal/hdb/Volume_04/Issue_ Wilkinson:1961:REB 03/tiff/240.tif; http:/ /www3.oup.co.uk/computer_ [Wil61f] J. H. Wilkinson. Rigorous journal/hdb/Volume_04/Issue_ error bounds for computed 03/tiff/241.tif. eigensystems. The Computer Wilkinson:1962:BRB Journal, 4(3):230–241, Octo- ber 1961. CODEN CMPJA6. [Wil62a] J. H. Wilkinson. Book re- ISSN 0010-4620 (print), 1460- view: Solutions Num´eriques 2067 (electronic). URL http: des Equations´ Alg´ebraiques,by //www3.oup.co.uk/computer_ E. Durand (Paris: Masson et journal/hdb/Volume_04/Issue_ Cie., 1960, pp. 328, 65 NF). 03/040230.sgm.abs.html; The Computer Journal, 5(1):32, http://www3.oup.co.uk/computer_ April 1962. CODEN CMPJA6. journal/hdb/Volume_04/Issue_ ISSN 0010-4620 (print), 1460- 03/tiff/230.tif; http:/ 2067 (electronic). URL http:// /www3.oup.co.uk/computer_ comjnl.oxfordjournals.org/ journal/hdb/Volume_04/Issue_ content/5/1/28.full.pdf; 03/tiff/231.tif; http:/ http://comjnl.oxfordjournals. /www3.oup.co.uk/computer_ org/content/5/1/32.full.pdf+ journal/hdb/Volume_04/Issue_ html. 03/tiff/232.tif; http:/ Wilkinson:1962:CESa /www3.oup.co.uk/computer_ journal/hdb/Volume_04/Issue_ [Wil62b] J. H. Wilkinson. Calculation 03/tiff/233.tif; http:/ of the eigenvalues of a sym- REFERENCES 28

metric tridiagonal matrix by ISSN 0010-4620 (print), 1460- the method of bisection. Nu- 2067 (electronic). URL http: merische Mathematik, 4:362– //www3.oup.co.uk/computer_ 367, December 1962. CODEN journal/hdb/Volume_05/Issue_ NUMMA7. ISSN 0029-599X 01/050061.sgm.abs.html; (print), 0945-3245 (electronic). http://www3.oup.co.uk/computer_ journal/hdb/Volume_05/Issue_ Wilkinson:1962:CESb 01/tiff/61.tif; http:// www3.oup.co.uk/computer_journal/ [Wil62c] J. H. Wilkinson. Calculation hdb/Volume_05/Issue_01/tiff/ of the eigenvectors of a sym- 62.tif; http://www3.oup. metric tridiagonal matrix by in- co.uk/computer_journal/hdb/ verse iteration. Numerische Volume_05/Issue_01/tiff/63. Mathematik, 4:368–376, Decem- tif; http://www3.oup.co. ber 1962. CODEN NUMMA7. uk/computer_journal/hdb/Volume_ ISSN 0029-599X (print), 0945- 05/Issue_01/tiff/64.tif; 3245 (electronic). http://www3.oup.co.uk/computer_ Wilkinson:1962:EAE journal/hdb/Volume_05/Issue_ 01/tiff/65.tif; http:// [Wil62d] J. H. Wilkinson. Error analysis www3.oup.co.uk/computer_journal/ of eigenvalue techniques based hdb/Volume_05/Issue_01/tiff/ on orthogonal transformations. 66.tif; http://www3.oup. Journal of the Society for Indus- co.uk/computer_journal/hdb/ trial and Applied Mathematics, Volume_05/Issue_01/tiff/67. 10:162–195, 1962. CODEN JSI- tif; http://www3.oup.co. MAV. ISSN 0368-4245 (print), uk/computer_journal/hdb/Volume_ 1095-712X (electronic). 05/Issue_01/tiff/68.tif; http://www3.oup.co.uk/computer_ Wilkinson:1962:HMS journal/hdb/Volume_05/Issue_ 01/tiff/69.tif; http:// [Wil62e] J. H. Wilkinson. Householder’s www3.oup.co.uk/computer_journal/ method for symmetric matrices. hdb/Volume_05/Issue_01/tiff/ Numerische Mathematik, 4:354– 70.tif. 361, December 1962. CODEN NUMMA7. ISSN 0029-599X (print), 0945-3245 (electronic). Wilkinson:1962:NQC

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ISSN 0010-4620 (print), 1460- journal/hdb/Volume_08/Issue_ 2067 (electronic). URL http: 01/tiff/81.tif; http:// //www3.oup.co.uk/computer_ www3.oup.co.uk/computer_journal/ journal/hdb/Volume_08/Issue_ hdb/Volume_08/Issue_01/tiff/ 03/080273.sgm.abs.html; 82.tif; http://www3.oup. http://www3.oup.co.uk/computer_ co.uk/computer_journal/hdb/ journal/hdb/Volume_08/Issue_ Volume_08/Issue_01/tiff/83. 03/tiff/273.tif; http:/ tif; http://www3.oup.co. /www3.oup.co.uk/computer_ uk/computer_journal/hdb/Volume_ journal/hdb/Volume_08/Issue_ 08/Issue_01/tiff/84.tif. 03/tiff/274.tif; http:/ /www3.oup.co.uk/computer_ Wilkinson:1965:EAT journal/hdb/Volume_08/Issue_ 03/tiff/275.tif; http:/ [Wil65e] J. H. Wilkinson. Error analy- /www3.oup.co.uk/computer_ sis for transformations based on journal/hdb/Volume_08/Issue_ the use of matrices of the form − H 03/tiff/276.tif; http:/ I 2ww . In Rall [Ral65b], /www3.oup.co.uk/computer_ pages 77–101. Proceedings of an journal/hdb/Volume_08/Issue_ advanced seminar conducted by 03/tiff/277.tif. the Mathematics Research Cen- ter, United States Army, at the Wilkinson:1965:CRA University of Wisconsin, Madi- [Wil65d] J. H. Wilkinson. Conver- son, October 5–7, 1964. gence of the LR, QR and re- Wilkes:1966:BRB lated algorithms. The Com- puter Journal, 8(1):77–84, April [Wil66a] M. V. Wilkes. Book re- 1965. CODEN CMPJA6. view: The Algebraic Eigen- ISSN 0010-4620 (print), 1460- value Problem. The Com- 2067 (electronic). URL http: puter Journal, 8(4):382, Jan- //www3.oup.co.uk/computer_ uary 1966. CODEN CMPJA6. journal/hdb/Volume_08/Issue_ ISSN 0010-4620 (print), 1460- 01/080077.sgm.abs.html; 2067 (electronic). URL http:// http://www3.oup.co.uk/computer_ comjnl.oxfordjournals.org/ journal/hdb/Volume_08/Issue_ content/8/4/382.full.pdf+ 01/tiff/77.tif; http:// html. www3.oup.co.uk/computer_journal/ hdb/Volume_08/Issue_01/tiff/ Wilkinson:1966:CEM 78.tif; http://www3.oup. co.uk/computer_journal/hdb/ [Wil66b] J. H. Wilkinson. Calcula- Volume_08/Issue_01/tiff/79. tion of eigensystems of matri- tif; http://www3.oup.co. ces. In J. Walsh, editor, Numer- uk/computer_journal/hdb/Volume_ ical Analysis: An Introduction, 08/Issue_01/tiff/80.tif; pages 27–61. Academic Press, http://www3.oup.co.uk/computer_ New York, NY, USA, 1966. REFERENCES 31

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its Applications, 8(9–10):297– (9–10):354–356, 1974. CODEN 298, 1972. CODEN IMTABW. IMTABW. ISSN 0950-5628. ISSN 0950-5628. Wilkinson:1974:SVD Wilkinson:1974:CEA [Wil74f] J. H. Wilkinson. The singular [Wil74a] J. H. Wilkinson. The classi- value decomposition and minﬁt. cal error analysis for the solu- Unpublished, Circa 1974. Na- tion of linear systems. Bul- tional Physical Laboratory, Ted- letin of the Institute of Mathe- dington, Middlesex TW11 0LW, matics and its Applications,10 UK., 1974. (5–6):175–180, 1974. CODEN IMTABW. ISSN 0950-5628. Wilkinson:1974:TMA Wilkinson:1974:HPE [Wil74g] J. H. Wilkinson. Test matrices for algorithms for solving linear [Wil74b] J. H. Wilkinson. Handbook systems and inverting matrices. p139 expanded or expounded. Unpublished, Circa 1974. Na- Unpublished, Circa 1974. Na- tional Physical Laboratory, Ted- tional Physical Laboratory, Ted- dington, Middlesex TW11 0LW, dington, Middlesex TW11 0LW, UK., 1974. UK., 1974. Wilkinson:1975:AHA Wilkinson:1974:LAA [Wil75a] J. H. Wilkinson. Alston S. [Wil74c] J. H. Wilkinson. Linear algebra Householder award. Linear algorithms. In Evans [Eva74], Algebra and its Applications, pages 17–25 (discussion 27–28). 11(1):1, ???? 1975. CO- ISBN 0-12-243750-0. LCCN DEN LAAPAW. ISSN 0024- QA297 .S591. With discussion 3795 (print), 1873-1856 (elec- by J. D. Beasley, E. L. Albasiny, tronic). URL http://www. O. Tingleﬀ, Linda Hayes, M. G. sciencedirect.com/science/ Cox, M. J. D. Powell and J. H. article/pii/0024379575901111. Wilkinson. Wilkinson:1974:NII Wilkinson:1975:IS [Wil74d] J. H. Wilkinson. Note on inverse [Wil75b] J. H. Wilkinson. Invariant sub- iteration and ill-conditioned spaces. In ICM’74 [ICM75], eigensystems. Acta Univ. Carol. pages 443–448. ISBN 0-8218- Math. Phys., 15(1–2):173–177, 3059-7. LCCN QA3 .A572. 1974. Wilkinson:1975:PAN Wilkinson:1974:NLA [Wil75c] J. H. Wilkinson. The Pilot ACE [Wil74e] J. H. Wilkinson. Numerical lin- at the NPL. The Radio and Elec- ear algebra on digital computers. tronic Engineer, 45(7):336–340, Bulletin of the Institute of Math- July 1975. CODEN RDEEA4. ematics and its Applications,10 ISSN 0033-7722. REFERENCES 35

Wilkinson:1976:LDE algorithm. Technical Report DNACS 10/78, National Phys- [Wil76] J. H. Wilkinson. Linear differen- ical Laboratory, Teddington, tial equations and Ax = λBx.In Middlesex TW11 0LW, UK, Hartnell and Williams [HW76b], 1978. Published as [Wil79]. pages 137–158. ISBN 0-919628- 16-8. LCCN QA297 .M33 1975. Wilkinson:1978:LDE Wilkinson:1977:DSG [Wil78c] J. H. Wilkinson. Linear differential equations and Kronecker’s [Wil77a] J. H. Wilkinson. The differen- canonical form. In de Boor tial system Bx˙ = Ax and the and Golub [dBG78], pages 231– generalized eigenvalue problem 265. ISBN 0-12-208360-1. LCCN Au = λBu. Technical Report QA297 S994 1978. NAC 73, National Physical Lab- oratory, Teddington, Middlesex Wilkinson:1978:NPS TW11 0LW, UK, 1977. [Wil78d] J. H. Wilkinson. Note on Wilkinson:1977:SRA the practical significance of the [Wil77b] J. H. Wilkinson. Some recent ad- Drazin inverse. Technical Re- vances in numerical linear alge- port DNACS 13/79, National bra. In Jacobs [Jac76], pages 3– Physical Laboratory, Tedding- 23. ISBN 0-12-378650-9. LCCN ton, Middlesex TW11 0LW, UK, QA297 .C6461 1976. 1978. Also produced as Stan- ford University, Computer Sci- Wilkinson:1977:USP ence Department Report STAN- CS-79-736. Published as [Wil82]. [Wil77c] J. H. Wilkinson. The use of the single-precision residual in Wilkinson:1978:PNL the solution of linear systems. Unpublished, Circa 1977. Na- [Wil78e] J. H. Wilkinson. A problem tional Physical Laboratory, Ted- in numerical linear algebra. In dington, Middlesex TW11 0LW, Powell [Pow77], pages 76–91. UK., 1977. LCCN QA297.C66 1978. Wilkinson:1978:AHA Wilkinson:1978:SVD [Wil78a] J. H. Wilkinson. The Al- [Wil78f] J. H. Wilkinson. Singular-value ston S. Householder Award. decomposition – basic aspects. Numerische Mathematik, 29(4): In Jacobs [Jac78], pages 109– 463, April 1978. CODEN 135. ISBN 0-12-378660-6. LCCN NUMMA7. ISSN 0029-599X QA297 C74 1977. UK$11.60. (print), 0945-3245 (electronic). Wilkinson:1979:KCF Wilkinson:1978:KCF [Wil79] J. H. Wilkinson. Kronecker’s [Wil78b] J. H. Wilkinson. Kronecker’s canonical form and the QZ al- canonical form and the QZ gorithm. Linear Algebra and its REFERENCES 36

Applications, 28:285–303, 1979. ementary divisors. Numerische CODEN LAAPAW. ISSN 0024- Mathematik, 44(1):1–21, June 3795 (print), 1873-1856 (elec- 1984. CODEN NUMMA7. ISSN tronic). Dedicated to the 75th 0029-599X (print), 0945-3245 birthday of A. S. Householder. (electronic). In honour of the 60th birthday of F. L. Bauer. Wilkinson:1980:SRA Wilkinson:1984:SE [Wil80a] J. H. Wilkinson. Some recent advances in numerical linear alge- [Wil84b] J. H. Wilkinson. Sensitivity of bra. Yingyong Shuxue yu Jisuan eigenvalues. Util. Math., 25:5– Shuxue, 6:1–19, 1980. Trans- 76, 1984. CODEN UTMADA. lated from the English by Ji ISSN 0315-3681. Guang Sun. Wilkinson:1984:SAE Wilkinson:1980:TWN [Wil84c] J. H. Wilkinson. The state of [Wil80b] J. H. Wilkinson. Turing’s work the art in error analysis. Tech- at the National Physical Lab- nical Memorandum 42, Math- oratory and the construction ematics and Computer Science of Pilot ACE, DEUCE, and Division, Argonne National Lab- ACE. In Metropolis et al. oratory, Argonne, Illinois 60439, [MHR80], pages 101–114. ISBN USA, 1984. Informal Proceed- 0-12-491650-3, 1-4832-9668-7 (e- ings of the Symposium on Com- book). LCCN QA75.5 .I63 1976. putational Mathematics – State Original versions of these pa- of the Art held at Argonne pers were presented at the In- National Laboratory, Septem- ternational Research Conference ber 20–21, 1984 in honour of on the History of Computing, the 65th birthday of James H. held at the Los Alamos Scientific Wilkinson. Laboratory, 10–15 June 1976. Wilkinson:1984:PP Wilkinson:1982:NPS [Wil84d] James H. Wilkinson. The perfidious polynomial. In G. H. [Wil82] J. H. Wilkinson. Note on Golub, editor, Studies in Nu- the practical significance of the merical Analysis, volume 24 of Drazin inverse. In S. L. Camp- MAA Stud. Math., chapter 1, bell, editor, Recent Applications pages 1–28. Mathematical Asso- of Generalized Inverses, vol- ciation of America, Washington, ume 66 of Res. Notes in Math., DC, 1984. Awarded the Chau- chapter 3, pages 82–99. Pitman venet Prize of the Mathematical Publishing, London, UK, 1982. Association of America. Wilkinson:1984:NMQ Wilkinson:1985:SAE [Wil84a] J. H. Wilkinson. On neighbour- [Wil85] J. H. Wilkinson. The state of ing matrices with quadratic el- the art in error analysis. NAG REFERENCES 37

Newsletter, 2/85:5–28, 1985. In- Wilkinson:1987:TF vited lecture for the NAG 1984 Annual General Meeting. [Wil87b] J. H. Wilkinson. On a theorem of Feingold. Linear Algebra Wilkinson:1986:EAR and its Applications, 88/89:13– 30, 1987. CODEN LAAPAW. [Wil86a] J. H. Wilkinson. Error anal- ISSN 0024-3795 (print), 1873- ysis revisited. Bulletin of the 1856 (electronic). Issue in hon- Institute of Mathematics and our of the 65th birthday of J. H. its Applications, 22(11–12):192– Wilkinson. 200, 1986. CODEN IMTABW. Wilkinson:1987:SCN ISSN 0950-5628. Invited lecture at Lancaster University in hon- [Wil87c] J. H. Wilkinson. Some com- our of C. W. Clenshaw, 1985. ments from a numerical analyst. In Ashenhurst [Ash87], Wilkinson:1986:ICN page ?? ISBN 0-201-07794-9. [Wil86b] J. H. Wilkinson. Ill-condition in LCCN QA76.24 .A33 1987. numerical linear algebra. Con- Wilkinson:1988:AEP gressus Numerantium, 51:59–81, 1986. ISSN 0384-9864. Proceed- [Wil88] J. H. Wilkinson. The Algebraic ings of the ﬁfteenth Manitoba Eigenvalue Problem. Mono- conference on numerical math- graphs on Numerical Analysis. ematics and computing (Win- The Clarendon Press, Oxford nipeg, Manitoba, 1985). University Press, New York, 1988. ISBN 0-19-853418-3. xviii Wilkinson:1986:SEI + 662 pp. Oxford Science Pub- lications. [Wil86c] J. H. Wilkinson. Sensitivity of Wilkinson:1994:REA eigenvalues II. Util. Math., 30: 243–286, 1986. CODEN UT- [Wil94] J. H. Wilkinson. Rounding MADA. ISSN 0315-3681. errors in algebraic processes. Wilkinson:1987:EP Dover, New York, NY, USA, 1994. ISBN 0-486-67999-3. viii [Wil87a] J. H. Wilkinson. Eigen- + 161 pp. Reprint of the value problems. In Iserles 1963 original [Prentice-Hall, En- and Powell [IP87], pages 1–39. glewood Cliﬀs, NJ; MR0161456 ISBN 0-19-853614-3. LCCN (28 #4661)]. QA297.J65 1986. URL http: Wilkinson:2005:PAN //www.gbv.de/dms/hbz/toc/ ht002967923.pdf; http:// [Wil05] James H. Wilkinson. The Pi- zbmath.org/?q=an:0611.00024. lot ACE at the National Phys- Proceedings of the IMA/SIAM ical Laboratory. In Copeland Conference, University of Birm- [Cop05], pages 93–105. ISBN 0- ingham, 1986. 19-856593-3 (hardcover). LCCN REFERENCES 38

QA75 .A43 2005. URL http: //www.ingentaconnect.com/ content/oso/2353639/2005/ 00000001/00000001/art00006. Wilkinson:2012:PAN [Wil12] James H. Wilkinson. The Pi- lot ACE at the National Phys- ical Laboratory. In Copeland [Cop12], pages 93–104. ISBN 0- 19-960915-2 (paperback). LCCN ???? UK $14.99. Wilkinson:1971:LA [WR71] James H. Wilkinson and Chris- tian Reinsch, editors. Linear Algebra, volume II of Hand- book for Automatic Computa- tion, Editors: F. L. Bauer, A. S. Householder, F. W. J. Olver, H. Rutishauser, K. Samelson and E. Stiefel. Springer-Ver- lag, Berlin, Germany / Heidel- berg, Germany / London, UK / etc., 1971. ISBN 0-387-05414- 6, 3-540-05414-6. viii + 439 pp. LCCN QA251 .W67.