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AuthorVarga, Richard S. author
TitleMatrix Iterative Analysis [electronic resource] / by Richard S. Varga
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 2000
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Descript X, 358 p. online resource


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


Matrix Properties and Concepts -- Nonnegative Matrices -- Basic Iterative Methods and Comparison Theorems -- Successive Overrelaxation Iterative Methods -- Semi-Iterative Methods -- Derivation and Solution of Elliptic Difference Equations -- Alternating-Direction Implicit Iterative Methods -- Matrix Methods for Parabolic Partial Differential Equations -- Estimation of Acceleration Parameters

Mathematics Algebra Matrix theory Numerical analysis Mathematics Algebra Numerical Analysis Linear and Multilinear Algebras Matrix Theory


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