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This book is 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.
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AUTEUR: Richard-S Varga

NOM DE FICHIER: Matrix Iterative Analysis.pdf

DATE DE PUBLICATION: 1999-Dec-02

TAILLE DU FICHIER: 8,64 MB

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PDF Iterative Methods for Computing Eigenvalues and Eigenvectors

7 Iterative methods for matrix equations 7.1 The need for iterative methods We have seen that Gaussian elimination provides a method for finding the exact solution (if rounding errors can be avoided) of a system of equations Ax = b. However Gaussian elimination requires approximately n3/3 operations (where n is the size of the system), which may become prohibitively time-consuming if n is ...

Matrix Iterative Analysis (Springer Series in ...

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