Numerical methods for large eigenvalue problems
著者
書誌事項
Numerical methods for large eigenvalue problems
（Algorithms and architectures for advanced scientific computing）
Manchester University Press , Halsted Press, c1992
- : uk
- : us
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注記
Bibliography: p. [323]-340
Includes index
内容説明・目次
- 巻冊次
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: us ISBN 9780470218204
内容説明
Offers a timely, in-depth perspective of numerical techniques used in solving large matrix eigenvalue problems arising in diverse engineering and scientific applications. Although important material for symmetric problems is covered, the focus is placed on more difficult nonsymmetric issues. Features solid theoretical treatment-- all of the latest plus well-known methods--and lists of some key computer programs.
- 巻冊次
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: uk ISBN 9780719033865
内容説明
This monograph, part of a series dealing with advanced scientific computing, deals with sparse matrices, perturbation theory and error analysis, spectral approximation, eigenvalue problems and more. The series of monographs reflects the advent of vector and parallel processing and the development of new algorithms and techniques, some of which relate to parallelism and some of which are due to the emergence of new methods in applied mathematics.
目次
- Background in matrix theory and linear algebra
- sparce matrices
- perturbation theory and error analysis
- the tools of spectral approximation
- subspace iteration
- Krylov subspace methods
- acceleration techniques and hybrid methods
- preconditioning techniques
- non-standard eigenvalue problems
- origins of matrix eigenvalue problems.
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