A new projection method for solving large Sylvester equations (Q881475)
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scientific article; zbMATH DE number 5159490
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new projection method for solving large Sylvester equations |
scientific article; zbMATH DE number 5159490 |
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A new projection method for solving large Sylvester equations (English)
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30 May 2007
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The Sylvester equation \(AX+XB+CD^T=0\) and equivalent ones are reformulated as linear equations by arranging the entries of the matrix \(X\) in a vector of appropriate length. The Arnoldi iteration is applied to the linear system and the iterates are used as basis vectors for the approximate solution by low-dimensional Sylvester equations.
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Sylvester matrix equation
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Arnoldi iteration
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matrix Krylov subspace method
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