The inverse spectrum problem for positive generalized stochastic matrices (Q1609127)

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scientific article; zbMATH DE number 1781526
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The inverse spectrum problem for positive generalized stochastic matrices
scientific article; zbMATH DE number 1781526

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    The inverse spectrum problem for positive generalized stochastic matrices (English)
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    15 August 2002
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    Several new sufficient conditions are proved for a set of \(n\) complex or ordered real numbers \(\lambda_i\), so that there exists a non--negative or a positive generalized or real (doubly) stochastic matrix \(A\) with the given eigenvalues \(\lambda_i\). Here generalized stochastic means that \(A\) has constant complex column sums.
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    inverse eigenvalue problem
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    stochastic matrix
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    positive matrix
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