On nonsingularity of a polytope of matrices (Q935386)
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scientific article; zbMATH DE number 5307057
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On nonsingularity of a polytope of matrices |
scientific article; zbMATH DE number 5307057 |
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On nonsingularity of a polytope of matrices (English)
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6 August 2008
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Given \(k\) real \(n\times n\) matrices \(A_1,\dots,A_k\), the authors study the nonsingularity and stability of the polytope \(\text{conv}\,\{A_1,\dots,A_k\}\) using the Bernstein algorithm of \textit{J. Garloff} [Interval Comput. 1993, No.~2, 154--168 (1993; Zbl 0829.65017)] and of \textit{M. Zettler} and \textit{J. Garloff} [IEEE Trans. Autom. Control 43, No.~3, 425--431 (1998; Zbl 0906.93046)].
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polytope of matrices
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nonsingularity
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stability
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multivariate polynomial
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Bernstein expansion
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0.90828526
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0.90086174
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0.9003037
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0.8992763
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0.8990436
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0.8989413
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0.89827186
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