A variation on the block Arnoldi method for large unsymmetric matrix eigenproblems (Q1299851)
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scientific article; zbMATH DE number 1328414
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A variation on the block Arnoldi method for large unsymmetric matrix eigenproblems |
scientific article; zbMATH DE number 1328414 |
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A variation on the block Arnoldi method for large unsymmetric matrix eigenproblems (English)
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28 February 2000
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A modification of the block Arnoldi method is proposed to improve it for large scale matrix eigenproblems by using new approximate eigenvectors. These approximations are combinations of the Ritz vectors and the wasted \((m+1)\)-step method. A modified \(m\)-step iterative block Arnoldi algorithm is presented. As examples a convective diffusion differential equation and the Tolosa matrix from aerodynamics are treated.
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large unsymmetric matrix eigenproblems
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eigenvalues
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block Arnoldi method
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eigenvectors
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Ritz vectors
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algorithm
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convective diffusion differential equation
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Tolosa matrix
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