Perturbation bound of the Drazin inverse (Q1855123)
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scientific article; zbMATH DE number 1860992
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Perturbation bound of the Drazin inverse |
scientific article; zbMATH DE number 1860992 |
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Perturbation bound of the Drazin inverse (English)
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28 January 2003
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The author bounds \(\|(A+E)^D-A^D\|_2\) where \(D\) denotes the Drazin inverse, under assumptions that \(A\) has index \(k\), the rank of \(A+E\) equals the rank of \(A^k\), and \(\|A^D\|_P \|E\|_P <1/2\), where \(\|A\|_P=\|P^{-1}AP\|_2\) and \(P\) is a transformation matrix which reduces \(A\) to Jordan canonical form.
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Jordan canonical form
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perturbation bound
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Drazin inverse
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