The acceleration of matrix power methods by cyclic variations of the shift parameter (Q1119335)
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scientific article; zbMATH DE number 4098615
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The acceleration of matrix power methods by cyclic variations of the shift parameter |
scientific article; zbMATH DE number 4098615 |
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The acceleration of matrix power methods by cyclic variations of the shift parameter (English)
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1989
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The direct power method for the computation of eigenvalues of a real symmetric matrix is discussed. It is shown that convergence is accelerated when one uses the zeros of appropriately translated Chebyshev polynomials as shifts. The authors do not seem to be aware of the Lanczos method which provides an optimal acceleration in this sense.
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convergence acceleration
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power method
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eigenvalues
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real symmetric matrix
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convergence
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Chebyshev polynomials
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