Norm-wise, mixed and component-wise condition numbers of matrix equation \(A_0 +E^k_{i=1}\sigma_iA_i^* X^{p_i}A_i=0,\quad \sigma_i=\pm 1\) (Q2813827)

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scientific article; zbMATH DE number 6598360
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English
Norm-wise, mixed and component-wise condition numbers of matrix equation \(A_0 +E^k_{i=1}\sigma_iA_i^* X^{p_i}A_i=0,\quad \sigma_i=\pm 1\)
scientific article; zbMATH DE number 6598360

    Statements

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    27 June 2016
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    perturbation analysis
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    norm-wise
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    mixed
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    component-wise
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    condition numbers
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    Fŕechet derivative
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    nonlinear matrix equation
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    numerical examples
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    Norm-wise, mixed and component-wise condition numbers of matrix equation \(A_0 +E^k_{i=1}\sigma_iA_i^* X^{p_i}A_i=0,\quad \sigma_i=\pm 1\) (English)
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