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Matrix Computations (Johns Hopkins Studies in the Mathematical Sciences) [Paperback]

Gene H. Golub , Charles F. van Van Loan
5.0 out of 5 stars  See all reviews (5 customer reviews)

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Book Description

15 Oct 1996 Johns Hopkins Studies in the Mathematical Sciences (Book 3)

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.



Product details

  • Paperback: 728 pages
  • Publisher: Johns Hopkins University Press; third edition edition (15 Oct 1996)
  • Language: English
  • ISBN-10: 0801854148
  • ISBN-13: 978-0801854149
  • Product Dimensions: 15.6 x 3.3 x 23.3 cm
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (5 customer reviews)
  • Amazon Bestsellers Rank: 565,504 in Books (See Top 100 in Books)
  • See Complete Table of Contents

Product Description

Review

'Praise for previous editions:' "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."--'SIAM Review' "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."--'Bulletin of the Institute of Mathematics and its Applications'

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.

(SIAM Review)

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.

(Bulletin of the Institute of Mathematics and its Applications)

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)

Inside This Book (Learn More)
First Sentence
The proper study of matrix computations begins with the study of the matrix-matrix multiplication problem. Read the first page
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Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
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Most Helpful Customer Reviews
3 of 3 people found the following review helpful
5.0 out of 5 stars Best Matrix Book Ever!!! 31 Oct 2005
Format:Paperback
This book has just about everything:
High quality theoretical foundations, good solid code for Matlab and some fortran routines, I like the fact the authors think about loops and iterators the way I do, as a programmer, but also have the time to write out the material as a mathematician, often these two things are totally seperate in pure math and programming books.
Simply a must for anyone doing any matrix programming, as the ideas and implementations are easily portable to other matrix/array based langauges such as Gauss and R.
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1 of 1 people found the following review helpful
5.0 out of 5 stars Excellent reference book 7 Jan 2012
Format:Paperback|Verified Purchase
Excellent book covering extensively its topic. It covers extensively:
- an excellent description of the linear algebra theory with all key theorem, their intuitive interpretation and short but complete demonstration
- the algorithmic aspects of matrix computations each proposed algorithm being evaluated with regard to computational complexity, numerical stability and parallel processing
- reference to the functions implementing the described algorithms within LAPACK (the standard library for advanced matrix computations in Fortran and C)

A must have for anybody often using linear algebra on computer systems.
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4 of 5 people found the following review helpful
By A Customer
Format:Paperback
I recently bought this book and am amazed at how detailed the information is presented. This a great book for anyone doing numerical analysis on the computer. The details on how to work around ill-conditioned matrices is great.
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3 of 4 people found the following review helpful
5.0 out of 5 stars THE CLASSIC reference for matrix computations! 2 Sep 1997
By A Customer
Format:Paperback
This book is an invaluable reference for anyone working in matrix computations or linear algebra. I have been using it for years and found it to be clear and comprehensive.
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1 of 2 people found the following review helpful
5.0 out of 5 stars Excellent book! 25 May 1998
By A Customer
Format:Paperback
Great book on the computational aspects of matrix computations. Has much more detail than NRiC for matrix computations -- of course, NRiC covers more topics. One the few places you can actually find out how to code SVD. A steal at $30. Highly recommended!
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