Generalized block Lanczos methods for large unsymmetric eigenproblems (Q1266316)
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scientific article; zbMATH DE number 1199883
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalized block Lanczos methods for large unsymmetric eigenproblems |
scientific article; zbMATH DE number 1199883 |
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Generalized block Lanczos methods for large unsymmetric eigenproblems (English)
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9 April 1999
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The author analyzes the convergence of the methods named in the title for diagonalizable matrices. Upper bounds for the distances between normalized eigenvectors and a block Krylov subspace are derived, and a priori theoretical error bounds for Ritz elements are established. Some emphasis is given to problems with multiple or clustered eigenvalues for which the classical (nonblock) generalized Lanczos methods strike difficulties.
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generalized block Lanczos methods
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block Arnoldi methods
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block Krylov subspace
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eigenvectors
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error bounds
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Ritz elements
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clustered eigenvalues
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