Monotonicity of perturbed tridiagonal \(M\)-matrices (Q2910975)

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scientific article; zbMATH DE number 6081319
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Monotonicity of perturbed tridiagonal \(M\)-matrices
scientific article; zbMATH DE number 6081319

    Statements

    12 September 2012
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    \(M\)-matrix
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    tridiagonal matrix
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    inverse positivity
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    monotone
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    perturbation
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    Toeplitz matrix
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    integro-differential population model
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    Bouchon's bound
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    Monotonicity of perturbed tridiagonal \(M\)-matrices (English)
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    Mainly, the authors present the actual maximum upper bounds on single element perturbations, as well as sufficient and necessary conditions for the maximum allowable higher rank perturbations. As special case are considered perturbed Toeplitz tridiagonal \(M\)-matrices.
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