Perturbation estimates for the nonlinear matrix equation \(X-A^*X^qA=Q\) (\(0<q<1\)). (Q2430477)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Perturbation estimates for the nonlinear matrix equation \(X-A^*X^qA=Q\) (\(0<q<1\)). |
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Perturbation estimates for the nonlinear matrix equation \(X-A^*X^qA=Q\) (\(0<q<1\)). (English)
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6 April 2011
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The nonlinear matrix equation \(X - A^{*} X^{q} A=Q\) with \(0<q<1\) is investigated. Two perturbation estimates for the unique positive definite solution of the equation are derived. The theoretical results are illustrated by numerical examples.
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perturbation estimates
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nonlinear matrix equation
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positive definite solution
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numerical examples
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