Perturbation analysis for the matrix equations \(X\pm A^*X^{-1}A=I\) (Q842015)
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scientific article; zbMATH DE number 5605699
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Perturbation analysis for the matrix equations \(X\pm A^*X^{-1}A=I\) |
scientific article; zbMATH DE number 5605699 |
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Perturbation analysis for the matrix equations \(X\pm A^*X^{-1}A=I\) (English)
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22 September 2009
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The authors give some new perturbation bounds for Hermitian positive definite solutions to the matrix equation \(X\pm A^*X^{-1}A=I\). Two numerical examples are also given to illustrate the results in this paper.
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nonlinear matrix equation
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spectral norm
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unitary invariant norm
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Hermitian positive definite solutions
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numerical examples
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