Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide (Software, Environments and Tools, Series Number 11) 1st Edition by Zhaojun Bai (PDF)

Description

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.

User’s Reviews

Editorial Reviews: Book Description This provides a unified overview of theory, algorithms, and practical software for eigenvalue problems. 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 Högskola, Göteborg, Sweden; Henk van der Vorst, Utrecht University, Utrecht, The Netherlands.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This book is a “dictionary” to solve almost all of the problems of solution of eigenvalues. I say almost all, because in this subject new papers are always to appear.

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