A note on the inversion of Sylvester matrices in control systems (Q541493)
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scientific article; zbMATH DE number 5904905
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on the inversion of Sylvester matrices in control systems |
scientific article; zbMATH DE number 5904905 |
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A note on the inversion of Sylvester matrices in control systems (English)
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7 June 2011
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Summary: We give a sufficient condition (the solvability of two standard equations) of a Sylvester matrix by using the displacement structure of the Sylvester matrix, and, according to the sufficient condition, we derive a new fast algorithm for the inversion of a Sylvester matrix, which can be denoted as a sum of products of two triangular Toeplitz matrices. The stability of the inversion formula for a Sylvester matrix is also considered. The Sylvester matrix is numerically forward stable if it is nonsingular and well conditioned.
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Sylvester matrix
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algorithm
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inversion
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triangular Toeplitz matrices
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stability
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