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ORCIDMilestones in Matrix Computation, 2007
- Raymond Honfu Chan, Chen Greif, Dianne P. O'Leary:
Milestones in Matrix Computation - Selected Works of Gene H. Golub, with Commentaries. Oxford University Press 2007, ISBN 978-0-19-920681-0
I Gene H. Golub
- Chen Greif:
Gene H. Golub Biography. Milestones in Matrix Computation 2007: 3-12 - Gene H. Golub:
Publications of Gene H. Golub. Milestones in Matrix Computation 2007: 13-29 - Gene H. Golub:
Major Awards. Milestones in Matrix Computation 2007: 30-31 - Gene H. Golub:
Students of Gene H. Golub. Milestones in Matrix Computation 2007: 32-34
II Iterative methods for linear systems
- Anne Greenbaum:
Commentary. Milestones in Matrix Computation 2007: 35-44 - Gene H. Golub, Richard S. Varga:
Chebyshev semi-iterative methods, successive over-relaxation iterative methods, and second-order Richardson iterative methods, Parts I and II. Milestones in Matrix Computation 2007: 45-67 - Paul Concus, Gene H. Golub:
A generalized conjugate gradient method for non-symmetric systems of linear equations. Milestones in Matrix Computation 2007: 68-78 - Paul Concus, Dianne P. O'Leary, Gene H. Golub:
A generalized conjugate gradient method for the numerical solution of elliptic partial differential equations. Milestones in Matrix Computation 2007: 79-101 - Zhong-Zhi Bai, Michael K. Ng, Gene H. Golub:
Hermitian and Skew-Hermitian splitting methods for non-Hermitian positive definite linear systems. Milestones in Matrix Computation 2007: 102-128
III Solution of least squares problems
- Åke Björck:
Commentary. Milestones in Matrix Computation 2007: 129-147 - Gene H. Golub:
Numerical methods for solving linear least squares problems. Milestones in Matrix Computation 2007: 148-159 - Gene H. Golub, Christian H. Reinsch:
Singular value decomposition and least squares solutions. Milestones in Matrix Computation 2007: 160-180 - Gene H. Golub, Víctor Pereyra:
The differentiation of pseudo-inverses and non-linear least squares problems whose variables separate. Milestones in Matrix Computation 2007: 181-201 - Gene H. Golub, Michael Heath, Grace Wahba:
Generalized cross-validation as a method for choosing a good ridge parameter. Milestones in Matrix Computation 2007: 202-212 - Gene H. Golub, Charles F. Van Loan:
An analysis of the total least squares problem. Milestones in Matrix Computation 2007: 213-226
IV Matric factorizations and applications
- Nicholas J. Higham:
Commentary. Milestones in Matrix Computation 2007: 227-232 - Gene H. Golub:
References. Milestones in Matrix Computation 2007: 233-235 - Gene H. Golub, William Kahan:
Calculating the singular values and pseudo-inverse of a matrix. Milestones in Matrix Computation 2007: 236- - Gene H. Golub, Richard H. Bartels:
The simplex method of linear programming using LU decomposition. Milestones in Matrix Computation 2007 - Billy L. Buzbee, Gene H. Golub, Claire W. Nielson:
On direct methods for solving Poisson's equation. Milestones in Matrix Computation 2007: 261-291 - Åke Björck, Gene H. Golub:
Numerical methods for computing angles between linear subspaces. Milestones in Matrix Computation 2007: 292-308 - Gene H. Golub, Philip E. Gill, Walter Murray, Michael A. Saunders:
Methods for modifying matrix factorizations. Milestones in Matrix Computation 2007: 309-344
V Orthogonal polynomials and quadrature
- Walter Gautschi:
Commentary. Milestones in Matrix Computation 2007: 345-358 - Gene H. Golub, John H. Welsch:
Calculation of Gauss quadrature rules. Milestones in Matrix Computation 2007: 359-379 - Gene H. Golub, Gérard Meurant:
Matrices, moments, and quadrature. Milestones in Matrix Computation 2007: 380-433 - Gene H. Golub, Daniela Calvetti, William B. Gragg, Lothar Reichel:
Computation of Gauss-Kronrod Quadrature Rules. Milestones in Matrix Computation 2007: 434-456
VI Eigenvalue problems
- G. W. Stewart:
Commentary. Milestones in Matrix Computation 2007: 457-466 - Gene H. Golub:
Some modified matrix eigenvalue problems. Milestones in Matrix Computation 2007: 467-484 - Gene H. Golub, James Hardy Wilkinson:
Ill-conditioned eigensystems and the computation of the Jordan canonical form. Milestones in Matrix Computation 2007: 485-527 - Gene H. Golub, Richard Underwood:
The block Lanczos method for computing eigenvalues. Milestones in Matrix Computation 2007: 528-545 - Gene H. Golub, Carl de Boor:
The numerically stable reconstruction of a Jacobi matrix from spectral data. Milestones in Matrix Computation 2007: 546-
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