Tridiagonal doubly stochastic matrices (Q1886535)
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scientific article; zbMATH DE number 2116533
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Tridiagonal doubly stochastic matrices |
scientific article; zbMATH DE number 2116533 |
Statements
Tridiagonal doubly stochastic matrices (English)
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18 November 2004
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The author studies the facial structure of the tridiagonal Birkhoff polytope \(\Omega^t_n\subset \mathbb R^{n\times n}\) consisting of the tridiagonal doubly stochastic matrices of order \(n\) and its connection with majorization. Some subclasses of \(\Omega^t_n\) are discussed with focus on spectral properties and rank formulae.
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doubly stochastic matrix
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eigenvalue
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Fibonacci numbers
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majorization
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permutation matrices
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symmetric random walk
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tridiagonal Birkhoff polytope
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rank
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0.9796084
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0.92232907
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0.92232907
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0.9219169
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0.9125472
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0.9029319
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0.90166056
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0.8978606
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0.8961384
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