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Doubly stochastic matrices with prescribed positive spectrum - MaRDI portal

Doubly stochastic matrices with prescribed positive spectrum (Q801139)

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scientific article; zbMATH DE number 3877362
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English
Doubly stochastic matrices with prescribed positive spectrum
scientific article; zbMATH DE number 3877362

    Statements

    Doubly stochastic matrices with prescribed positive spectrum (English)
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    1984
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    If \(\Lambda\) is a set of real numbers \(\{\lambda_ 1,\lambda_ 2,...,\lambda_ n\}\) such that \(1=\lambda_ 1\geq \lambda_ 2\geq...\geq \lambda_ n>0\), there exists a symmetric doubly stochastic matrix A whose spectrum is \(\Lambda\).
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    prescribed positive spectrum
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    symmetric doubly stochastic matrix
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