Iterative Solution of Large Linear Systems

✍ Scribed by David M. Young and Werner Rheinboldt (Auth.)

Publisher: Elsevier Inc, Academic Press
Year: 1971
Tongue: English
Leaves: 584
Series: Computer Science and Applied Mathematics
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

Self-contained treatment includes a review of matrix theory and general properties of iterative methods; successive overrelaxation (SOR) method and stationary modified SOR method for consistently ordered matrices; nonstationary methods; generalizations of SOR theory and variants of method; 2nd-degree methods, alternating direction-implicit methods, and a comparison of methods. 1971 edition.

✦ Table of Contents

Content:
Front Matter, Page iii
Copyright, Page iv
Dedication, Page v
PREFACE, Pages xiii-xvi
ACKNOWLEDGMENTS, Page xvii
NOTATION, Pages xix-xx
LIST OF FUNDAMENTAL MATRIX PROPERTIES, Page xxi
LIST OF ITERATIVE METHODS, Pages xxiii-xxiv
Chapter 1 - INTRODUCTION, Pages 1-6
Chapter 2 - MATRIX PRELIMINARIES, Pages 7-62
Chapter 3 - LINEAR STATIONARY ITERATIVE METHODS, Pages 63-105
Chapter 4 - CONVERGENCE OF THE BASIC ITERATIVE METHODS, Pages 106-139
Chapter 5 - EIGENVALUES OF THE SOR METHOD FOR CONSISTENTLY ORDERED MATRICES, Pages 140-168
Chapter 6 - DETERMINATION OF THE OPTIMUM RELAXATION FACTOR, Pages 169-232
Chapter 7 - NORMS OF THE SOR METHOD, Pages 233-270
Chapter 8 - THE MODIFIED SOR METHOD: FIXED PARAMETERS, Pages 271-294
Chapter 9 - NONSTATIONARY LINEAR ITERATIVE METHODS, Pages 295-305
Chapter 10 - THE MODIFIED SOR METHOD: VARIABLE PARAMETERS, Pages 306-343
Chapter 11 - SEMI-ITERATIVE METHODS, Pages 344-390
Chapter 12 - EXTENSIONS OF THE SOR THEORY: STIELTJES MATRICES, Pages 391-403
Chapter 13 - GENERALIZED CONSISTENTLY ORDERED MATRICES, Pages 404-433
Chapter 14 - GROUP ITERATIVE METHODS, Pages 434-460
Chapter 15 - SYMMETRIC SOR METHOD AND RELATED METHODS, Pages 461-485
Chapter 16 - SECOND-DEGREE METHODS, Pages 486-494
Chapter 17 - ALTERNATING DIRECTION IMPLICIT METHODS, Pages 495-552
Chapter 18 - SELECTION OF ITERATIVE METHOD, Pages 553-555
BIBLIOGRAPHY, Pages 556-563
INDEX, Pages 565-570
Computer Science and Applied Mathematics, Pages 571-572

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