Matrix Iterative Analysis

Description

This is the softcover reprint of a very popular hardcover edition, a revised version of the first edition, originally published by Prentice Hall in 1962 and regarded as a classic in its field. In some places, newer research results, e.g. results on weak regular splittings, have been incorporated in the revision, and in other places, new material has been added in the chapters, as well as at the end of chapters, in the form of additional up-to-date references and some recent theorems to give the reader some newer directions to pursue. The material in the new chapters is basically self-contained and more exercises have been provided for the readers. While the original version was more linear algebra oriented, the revision attempts to emphasize tools from other areas, such as approximation theory and conformal mapping theory, to access newer results of interest. The book should be of great interest to researchers and graduate students in the field of numerical analysis. Front Matter....Pages i-x Matrix Properties and Concepts....Pages 1-30 Nonnegative Matrices....Pages 31-62 Basic Iterative Methods and Comparison Theorems....Pages 63-110 Successive Overrelaxation Iterative Methods....Pages 111-148 Semi-Iterative Methods....Pages 149-182 Derivation and Solution of Elliptic Difference Equations....Pages 183-233 Alternating-Direction Implicit Iterative Methods....Pages 235-274 Matrix Methods for Parabolic Partial Differential Equations....Pages 275-312 Estimation of Acceleration Parameters....Pages 313-327 Back Matter....Pages 329-358