Applied Iterative Methods

by Louis A. Hageman, David M. Young

Overview

This graduate-level text examines the practical use of iterative methods in solving large, sparse systems of linear algebraic equations and in resolving multidimensional boundary-value problems. 1981 edition. Includes 48 figures and 35 tables.

Product Details

ISBN-13:	9780486434773
Publisher:	Dover Publications
Publication date:	07/26/2004
Series:	Dover Books on Mathematics Series
Pages:	416
Product dimensions:	5.40(w) x 8.48(h) x 0.82(d)

Table of Contents

1. Background on Linear Algebra and Related Topics
2. Background on Basic Iterative Methods
3. Polynomial Acceleration
4. Chebyshev Acceleration
5. An Adaptive Chebyshev Procedure Using Special Norms
6. Adaptive Chebyshev Acceleration
7. Conjugate Gradient Acceleration
8. Special Methods for Red/Black Partitionings
9. Adaptive Procedures for the Successive Overrelaxation Method
10. The Use of Iterative Methods in the Solution of Partial Differential Equations
11. Case Studies
12. The Nonsymmetrizable Case
Appendixes
Bibliography
Index