An algebraic approach to the construction of polyhedral invariant cones (Q2706267)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An algebraic approach to the construction of polyhedral invariant cones |
scientific article |
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19 March 2001
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invariant cones
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polyedral cones
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\(K\)-irreducibility
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spectral radius
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0.8934641
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0.88992375
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0.88721895
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0.88383794
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An algebraic approach to the construction of polyhedral invariant cones (English)
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The authors state a result of \textit{B. S. Tam} and \textit{H. Schneider} [Trans. Am. Math. Soc. 343, No.~2, 479-524 (1994; Zbl 0826.15015)] by means of algebraic arguments. Namely they characterize the real square matrices leaving a proper polyhedral cone \(K\) invariant in terms of properties of their eigenvalues. The proof deals with the actual construction of the cone. Furthermore, conditions on the spectrum of matrices are established in order to obtain that they are \(K\)-irreducible, \(K\)-primitive or \(K\)-positive. The authors provide examples.
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