Title: Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide: 11 (Software, Environments and Tools, Series Number 11)
Publisher: Society for Industrial and Applied Mathematics
Publication Date: 2000
Language: English
ISBN 10: 0898714710
ISBN 13: 9780898714715
Binding: Soft cover
Condition: Fine

About this title

Synopsis

Large-scale problems of engineering and scientific computing often require solutions of eigenvalue and related problems. This book gives a unified overview of theory, algorithms, and practical software for eigenvalue problems. It organizes this large body of material to make it accessible for the first time to the many nonexpert users who need to choose the best state-of-the-art algorithms and software for their problems. Using an informal decision tree, just enough theory is introduced to identify the relevant mathematical structure that determines the best algorithm for each problem. The algorithms and software at the 'leaves' of the decision tree range from the classical QR algorithm, which is most suitable for small dense matrices, to iterative algorithms for very large generalized eigenvalue problems. Algorithms are presented in a unified style as templates, with different levels of detail suitable for readers ranging from beginning students to experts.

About the Author

Zhaojun Bai, University of California, Davis, Davis, California; James Demmel, University of California, Berkeley, Berkeley, California; Jack Dongarra, University of Tennessee, Knoxville, Tennessee, and Oak Ridge National Laboratory, Oak Ridge, Tennessee; Axel Ruhe, Chalmers Tekniska H�gskola, G�teborg, Sweden; Henk van der Vorst, Utrecht University, Utrecht, The Netherlands.

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