Strong linear preservers of symmetric doubly stochastic or doubly substochastic matrices. (Q1426299)
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scientific article; zbMATH DE number 2056683
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strong linear preservers of symmetric doubly stochastic or doubly substochastic matrices. |
scientific article; zbMATH DE number 2056683 |
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Strong linear preservers of symmetric doubly stochastic or doubly substochastic matrices. (English)
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14 March 2004
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The authors present some results about LOCC graphs, i.e. graphs with particular connected components, and by means of them improve some results due to \textit{C. K. Li, B. S. Tam}, and \textit{N. K. Tsing} [Linear Algebra Appl. 341, 5--22 (2002; Zbl 0998.15004)]. They prove that a linear map \(T\) preserves the symmetric doubly stochastic or doubly substochastic matrices if and only if \(T\) maps such a matrix \(X\) in \(P^t \dot X \dot P \) for some permutation matrix \(P\).
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Linear preserver
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Symmetric doubly stochastic matrix
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Symmetric doubly substochastic matrix
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LOCC graphs
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Neighborly extreme point
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