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Matrix Computations (Johns Hopkins Studies in Mathematical Sciences)(3rd Edition) 3rd Edition

by Gene H. Golub (Author), Charles F. Van Loan (Author)

4.6 49 ratings

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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.

ISBN-10

0801854148
ISBN-13

978-0801854149
Edition

3rd
Publisher

Johns Hopkins University Press
Publication date

October 15, 1996
Language

English
Dimensions

6.13 x 1.29 x 9.25 inches
Print length

728 pages
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Editorial Reviews

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)

About the Author

Gene H. Golub is professor of computer science at Stanford University. Charles F. Van Loan is professor of computer science at Cornell University.

Product details

Publisher ‏ : ‎ Johns Hopkins University Press; 3rd edition (October 15, 1996)
Language ‏ : ‎ English
Paperback ‏ : ‎ 728 pages
ISBN-10 ‏ : ‎ 0801854148
ISBN-13 ‏ : ‎ 978-0801854149
Item Weight ‏ : ‎ 2.2 pounds
Dimensions ‏ : ‎ 6.13 x 1.29 x 9.25 inches

Best Sellers Rank: #933,672 in Books (See Top 100 in Books)
- #48 in Mathematical Matrices
- #221 in Linear Algebra (Books)
- #3,095 in Applied Mathematics (Books)

Customer Reviews:
4.6 49 ratings

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4.6 out of 5

49 global ratings

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fera

Good item

Reviewed in the United States on September 23, 2022

Verified Purchase

Good item with good price

Helpful

Daniel M. Topa

A foundation book in matrix analysis

Reviewed in the United States on September 11, 2011

Verified Purchase

One of the most thorough and erudite books on numerical linear analysis available. The authors, Golub and Van Loan, are pioneers in matrix analysis. The review is encyclopedic. This is a great book to demonstrate the finer points of the art and to provide a bird's eye view of the subject. If you can't articulate differences in speed and accuracy between the LU decomposition, the QR decomposition, bidiagonalization, Householder reflections and Givens rotations, and the venerable singular value decomposition then this book is for you.

My first copy has been worn out. This review was triggered when a replacement copy was ordered.

One person found this helpful

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Daniel C

Includes pseudocode snippets that can be easily translated into any modern language (although why would you

Reviewed in the United States on April 2, 2016

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Classic of the genre. Details all important numerical techniques of linear algebra. Rigorous enough for an academic yet practical enough for those working in the industry. Includes pseudocode snippets that can be easily translated into any modern language (although why would you? This has been implemented in MATLAB, Octave and R a long time ago...) Highly and unconditionally recommended.

One person found this helpful

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Dayna G.

Could benefit from more detail and definition

Reviewed in the United States on March 31, 2019

Verified Purchase

Good manual for numerical analysis but I wish it had more of a breakdown of the steps or examples which demonstrate the building blocks to get to the model used.

One person found this helpful

Helpful

M. A. Kass

Outstanding reference and tutorial

Reviewed in the United States on February 14, 2011

Verified Purchase

I used this book to teach me some of the finer points of matrix operations, and continue to reference it. In fact, in my field (geophysics), this book is the standard reference for matrix operations in journal publications. I have not found anything better, nor anything that even comes close.

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mextron

Inclusive and exciting

Reviewed in the United States on April 23, 2012

Verified Purchase

I must say this text has probably all the content an engineering graduate student like myself might need. Texts on this topic tend to omit details which have to be found using other sources. This one is the most inclusive I have come across. Ofcourse it cannot detail everything but it is an excellent starting point for almost anything in the field of linear algebra.

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Somnath Chakrabarti

Matrix Computations - Golub/van Loan review

Reviewed in the United States on March 5, 2010

Verified Purchase

The book I purchased has a very good condition and is new without any markings or page tear. The only thing is that I received the book 3 weeks from ordering. Otherwise the book condition is excellent.

Thanks,
Somnath

Reviewed in the United States on December 11, 2016

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satisfactory

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Top reviews from other countries

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fem

行列計算

Reviewed in Japan on August 22, 2003

Verified Purchase

行列の(数値)計算について書かれた良書である．これから大掛かりな行列計算プログラムを作成しようとする人は，参考書(基本)として薦める．

7 people found this helpful

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Pascal Pompey

Excellent reference book

Reviewed in the United Kingdom on January 7, 2012

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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.

One person found this helpful

emew

DER moderne Klassiker der Matrizenrechnung

Reviewed in Germany on December 27, 2007

Verified Purchase

Gene Golub und Charles van Loan zählen weltweit zu den renommiertesten
Experten auf dem in diesem Buch behandelten Gebiet. Es ist das wohl
umfassendste Referenz-Werk zum Thema Matrizen-Algorithmen. Nicht
etwa ein Lehrbuch der Linearen Algebra, sondern ein numerisch orientiertes
Werk, behandelt es sowohl die theoretischen Hintergründe - meist mit
eleganten kurzen Beweisen - der diskutierten Algorithmen als auch
praktische Aspekte wie Rundungsfehler und Kondition. Für ernsthaft auf dem
Gebiet der numerischen linearen Algebra Arbeitende ist der Golub/van Loan
eine unverzichtbare Informationsquelle, die ältere Klassiker wie
Gantmacher und Faddejew/Faddejewa durch die Fülle neuerer Resultate,
Algorithmen und Literaturhinweise ganz wesentlich ergänzt.

3 people found this helpful

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ZAck

Masterpiece, the origin of every matrix computation

Reviewed in Canada on November 27, 2012

Verified Purchase

My course was suffering before I bought this book. I found it contains every algorithm, and why we use it,but also how we store the data. A great author,a great book

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