Fundamentals of Matrix Computations / Edition 3

Fundamentals of Matrix Computations / Edition 3

by David S. Watkins
     
 

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ISBN-10: 0470528338

ISBN-13: 9780470528334

Pub. Date: 06/28/2010

Publisher: Wiley

This new, modernized edition provides a clear and thorough introduction to matrix computations,a key component of scientific computing

Retaining the accessible and hands-on style of its predecessor, Fundamentals of Matrix Computations, Third Edition thoroughly details matrix computations and the accompanying theory alongside the author's useful

Overview

This new, modernized edition provides a clear and thorough introduction to matrix computations,a key component of scientific computing

Retaining the accessible and hands-on style of its predecessor, Fundamentals of Matrix Computations, Third Edition thoroughly details matrix computations and the accompanying theory alongside the author's useful insights. The book presents the most important algorithms of numerical linear algebra and helps readers to understand how the algorithms are developed and why they work.

Along with new and updated examples, the Third Edition features:

  • A novel approach to Francis' QR algorithm that explains its properties without reference to the basic QR algorithm
  • Application of classical Gram-Schmidt with reorthogonalization
  • A revised approach to the derivation of the Golub-Reinsch SVD algorithm
  • New coverage on solving product eigenvalue problems
  • Expanded treatment of the Jacobi-Davidson method
  • A new discussion on stopping criteria for iterative methods for solving linear equations

Throughout the book, numerous new and updated exercises—ranging from routine computations and verifications to challenging programming and proofs—are provided, allowing readers to immediately engage in applying the presented concepts. The new edition also incorporates MATLAB to solve real-world problems in electrical circuits, mass-spring systems, and simple partial differential equations, and an index of MATLAB terms assists readers with understanding the basic concepts related to the software.

Fundamentals of Matrix Computations, Third Edition is an excellent book for courses on matrix computations and applied numerical linear algebra at the upper-undergraduate and graduate level. The book is also a valuable resource for researchers and practitioners working in the fields of engineering and computer science who need to know how to solve problems involving matrix computations.

Product Details

ISBN-13:
9780470528334
Publisher:
Wiley
Publication date:
06/28/2010
Series:
Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts Series, #94
Edition description:
New Edition
Pages:
664
Sales rank:
838,428
Product dimensions:
6.20(w) x 9.40(h) x 1.50(d)

Table of Contents

Preface.
Acnowledgments.
Gaussian Elimination and its Variants.
Sensitivity of Linear Systems.
The Least Squares Problem.
The Singular Value Decomposition.
Eigenvalues and Eigenvectors I.
Eigenvalues and Eigenvectors II.
Iterative Methods for Linear Systems.
Appendix: Some Sources of Software for Matrix Computations.
References.
Index.
Index of MATLAB Terms.

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