Milestones in Matrix Computation The Selected Works of Gene H. Golub with Commentaries

Name: Milestones in Matrix Computation The Selected Works of Gene H. Golub with Commentaries
Price: 31.43 USD
Availability: InStock
ISBN: 9780199206810

ISBN-10: 0199206813

ISBN-13: 9780199206810

Edition: 2007

Authors: Raymond Chan, Chen Greif, Dianne O'Leary

List price: $130.00

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The text presents and discusses some of the most influential papers in Matrix Computation authored by Gene H. Golub, one of the founding fathers of the field. The collection of 21 papers is divided into five main areas: iterative methods for linear systems, solution of least squares problems, matrix factorizations and applications, orthogonal polynomials and quadrature, and eigenvalue problems and commentaries for each area are provided by leading experts: Anne Greenbaum, Ake Bjorck, Nicholas Higham, Walter Gautschi, and G. W. (Pete) Stewart. Comments on each paper are also provided by the original authors, providing the reader with historical information on how the paper came to be…

Book details

List price: $130.00
Copyright year: 2007
Publisher: Oxford University Press, Incorporated
Publication date: 4/19/2007
Binding: Hardcover
Pages: 578
Size: 6.30" wide x 9.06" long x 1.46" tall
Weight: 2.2



Biography



Publications



Major Awards


Students of



Iterative Methods for Linear Systems


Commentary



References


Chebyshev semi-iterative methods, successive over-relaxation iterative methods, and second-order Richardson iterative methods, Parts I and II



A generalized conjugate gradient method for non-symmetric systems of linear equations



A generalized conjugate gradient method for the numerical solution of elliptic partial differential equations



Hermitian and Skew-Hermitian splitting methods for non-Hermitian positive definite linear systems



Solution of Least Squares Problems


Commentary



References


Numerical methods for solving linear least squares problems



Singular value decomposition and least squares solutions



The differentiation of pseudo-inverses and non-linear least squares problems whose variables separate



Generalized cross-validation as a method for choosing a good ridge parameter



An analysis of the total least squares problem



Matrix Factorizations and Applications


Commentary



References


Calculating the singular values and pseudo-inverse of a matrix



The simplex method of linear programming using LU decomposition



On direct methods for solving Poisson's equation



Numerical methods for computing angles between linear subspaces



Methods for modifying matrix factorizations



Orthogonal Polynomials and Quadrature


Commentary



References


Calculation of Gauss quadrature rules



Matrices, moments and quadrature



Computation of Gauss-Kronrod quadrature rules



Eigenvalue Problems


Commentary



References


Some modified matrix eigenvalue problems



Ill-conditioned eigensystems and the computation of the Jordan canonical form



The block Lanczos method for computing eigenvalues



The numerically stable reconstruction of a Jacobi matrix from spectral data