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Matrix Computations by Gene H. Golub β€” book cover

Matrix Computations

by Gene H. Golub, Charles F. van Loan
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Overview

Revised and updated, the third edition of Golub and Van Loan's classic text in computer science provides essential information about the mathematical background and algorithmic skills required for the production of numerical software. This new edition includes thoroughly revised chapters on matrix multiplication problems and parallel matrix computations, expanded treatment of CS decomposition, an updated overview of floating point arithmetic, a more accurate rendition of the modified Gram-Schmidt process, and new material devoted to GMRES, QMR, and other methods designed to handle the sparse unsymmetric linear system problem.

The Johns Hopkins University Press

Provides the vital mathematical background and algorithmic skills requred for the production numerical software.

About the Author, Gene H. Golub

Gene H. Golub (1932–2007) was a professor emeritus and former director of scientific computing and computational mathematics at Stanford University. Charles F. Van Loan is a professor of computer science at Cornell University, where he is the Joseph C. Ford Professor of Engineering.

The Johns Hopkins University Press

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Editorials

Bulletin of the Institute of Mathematics and Its Applications

A mine of insight and information and a provocation to thought; the annotated bibliographies are helpful to those wishing to explore further. One could not ask for more, and the book should be considered a resounding success.

Booknews

Provides the vital mathematical background and algorithmic skills required for the production of numerical software. Chapters on high performance computing utilize matrix multiplication to illustrate how to organize a calculation for vector processors as well as for computers with shared or distributed memories. Also, discusses parallel vector methods for linear equations, least squares, and eigenvalue problems. Paper edition $29.95 not seen by SciTech. Annotation c. Book News, Inc., Portland, OR booknews.com

SIAM Review

A wealth of material, some old and classical, some new and still subject to debate. It will be a valuable reference source for workers in numerical linear algebra as well as a challenge to students.

Bulletin of the Institute of Mathematics and its Applications

In purely academic terms the reader with an interest in matrix computations will find this book to be a mine of insight and information, and a provocation to thought; the annotated bibliographies are helpful to those wishing to explore further. One could not ask for more, and the book should be considered a resounding success.

Image: Bulletin of the International Linear Algebra Society

The authors have rewritten and clarified many of the proofs and derivations from the first edition. They have also added new topics such as Arnoldi iteration, domain decomposition methods, and hyperbolic downdating. Clearly the second edition is an invaluable reference book that should be in every university library. With the new proofs and derivations, it should remain the text of choice for graduate courses in matrix computations

Image: Bulletin of the International Linear Algebra Society

The authors have rewritten and clarified many of the proofs and derivations from the first edition. They have also added new topics such as Arnoldi iteration, domain decomposition methods, and hyperbolic downdating. Clearly the second edition is an invaluable reference book that should be in every university library. With the new proofs and derivations, it should remain the text of choice for graduate courses in matrix computations

Book Details

Published
January 7, 2013
Publisher
Johns Hopkins University Press
Pages
784
Format
Paperback
ISBN
9781421407944

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