Optimizing matrix stability (Q2706575)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Optimizing matrix stability |
scientific article |
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Optimizing matrix stability (English)
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20 March 2001
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eigenvalue optimization
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spectral abscissa
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nonsmooth analysis
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Jordan form
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matrix stability
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inequalities involving eigenvalues
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An affine subspace of square matrices is considered and the minimization of the spectral abscissa is studied. An example of a spectral abscissa minimization is discussed. Its solution has a large Jordan block. It is verified that the optimal solution in the example is a sharp minimizer. The effect of perturbation is studied. The large Jordan block in the solution of the example persists under any small perturbation. The ideas of the paper are further developed and submitted by the authors to foundations of computational mathematics.
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