More on extremal positive semidefinite doubly stochastic matrices (Q1187505)
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scientific article; zbMATH DE number 39406
| Language | Label | Description | Also known as |
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| English | More on extremal positive semidefinite doubly stochastic matrices |
scientific article; zbMATH DE number 39406 |
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More on extremal positive semidefinite doubly stochastic matrices (English)
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22 July 1992
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Let \(K_ n\) be the convex set of \(n\times n\) positive semidefinite doubly stochastic matrices. It is shown that for matrices with a special type of graph extremality can be determined by graph and rank. Also, a complete classification of the extremal matrices in \(K_ 5\) and in particular examples of two matrices in \(K_ 5\) with the same graph and rank, one extreme and one not, are presented.
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extremal positive semidefinite doubly stochastic matrices
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extreme points
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rank extreme matrices
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graph
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rank
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