Perturbation analysis for the positive definite solution of the nonlinear matrix equation \(X-\sum_{i=1}^{m}A^{*}_{i}X^{\delta_{i}}A_{i}=Q\) (Q2890579)
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scientific article; zbMATH DE number 6044961
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Perturbation analysis for the positive definite solution of the nonlinear matrix equation \(X-\sum_{i=1}^{m}A^{*}_{i}X^{\delta_{i}}A_{i}=Q\) |
scientific article; zbMATH DE number 6044961 |
Statements
11 June 2012
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nonlinear matrix equation
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positive definite solution
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perturbation estimate
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spectral norm
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Thomson metric
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0.9932939
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0.9451396
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0.93850625
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0.93229556
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0.9219326
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0.9182801
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0.91412216
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0.9106616
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Perturbation analysis for the positive definite solution of the nonlinear matrix equation \(X-\sum_{i=1}^{m}A^{*}_{i}X^{\delta_{i}}A_{i}=Q\) (English)
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Using some properties of the spectral norm and Thomson metric, the authors present two estimates for the positive definite solution of some nonlinear matrix equation, which arises in an optimal interpolation problem.
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