Rational matrix functions and rank-1 updates (Q2706247)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rational matrix functions and rank-1 updates |
scientific article |
Statements
19 March 2001
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rational matrix functions
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rank-1 update
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Sherman-Morrison formula
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inverse problem
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matrix exponential
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Rational matrix functions and rank-1 updates (English)
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This paper deals with the efficient computation of \(f(A+ uv^T)\), assuming that \(f(A)\) is available and \(f\) is a prescribed rational function defined on the spectrum of \(A\) and \(A+ uv^T\). A generalized Sherman-Morrison formula is presented. For an application, a Jacobian computation, arising in an inverse problem involving the matrix exponential is considered.
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0.9017997
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0.8943956
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0.88802904
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0.88223046
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0.87976694
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0.87924385
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