Iterative Solution Methods by Owe Axelsson (English) Paperback Book

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Iterative Solution Methods by Owe Axelsson

This book deals primarily with the numerical solution of linear systems of equations by iterative methods.

FORMAT
Paperback LANGUAGE
English CONDITION
Brand New Publisher Description

Large linear systems of equations arise in most scientific problems where mathematical models are used. The most efficient methods for solving these equations are iterative methods. The first part of this book contains basic and classical material from the study of linear algebra and numerical linear algebra. The second half of the book is unique among books on this topic, because it is devoted to the construction of preconditioners and iterative acceleration methods of the conjugate gradient type. This book is for graduate students and researchers in numerical analysis and applied mathematics.

Table of Contents

Preface; Acknowledgements; 1. Direct solution methods; 2. Theory of matrix eigenvalues; 3. Positive definite matrices, Schur complements, and generalized eigenvalue problems; 4. Reducible and irreducible matrices and the Perron–Frobenius theory for nonnegative matrices; 5. Basic iterative methods and their rates of convergence; 6. M-matrices, convergent splittings, and the SOR method; 7. Incomplete factorization preconditioning methods; 8. Approximate matrix inverses and corresponding preconditioning methods; 9. Block diagonal and Schur complement preconditionings; 10. Estimates of eigenvalues and condition numbers for preconditional matrices; 11. Conjugate gradient and Lanczos-type methods; 12. Generalized conjugate gradient methods; 13. The rate of convergence of the conjugate gradient method; Appendices.

Review

'… likely to be an important reference for theoreticians interested in the development and analysis of iterative solution methods for years to come.' Bulletin of the Institute of Mathematics and its Applications

Promotional

A valuable resource book for students, tutors and researchers using iterative methods.

Review Quote

'... likely to be an important reference for theoreticians interested in the development and analysis of iterative solution methods for years to come.' Bulletin of the Institute of Mathematics and its Applications

Promotional \"Headline\"

A valuable resource book for students, tutors and researchers using iterative methods.

Description for Bookstore

This book deals primarily with the numerical solution of linear systems of equations by iterative methods. A valuable resource for students and researchers alike wishing to learn more about iterative methods.

Description for Library

This book deals primarily with the numerical solution of linear systems of equations by iterative methods. A valuable resource for students and researchers alike wishing to learn more about iterative methods.

Details ISBN0521555698 Author Owe Axelsson Short Title ITERATIVE SOLUTION METHODS Pages 672 Publisher Cambridge University Press Language English ISBN-10 0521555698 ISBN-13 9780521555692 Media Book Format Paperback DEWEY 511.42 Year 1996 Imprint Cambridge University Press Place of Publication Cambridge Country of Publication United Kingdom Edition 0003rd Affiliation Katholieke Universiteit Nijmegen, The Netherlands DOI 10.1604/9780521555692 UK Release Date 1996-03-29 AU Release Date 1996-03-29 NZ Release Date 1996-03-29 Publication Date 1996-03-29 Alternative 9780511624100 Illustrations Worked examples or Exercises; 3 Tables, unspecified; 14 Line drawings, unspecified Audience Professional & Vocational Country of Origin US Product Class Description Mathematics
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