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ON THE NONLINEAR MATRIX EQUATION <TEX>$X+\sum_{i=1}^{m}A_i^*X^{-q}A_i=Q$</TEX>(0<q≤1) - MaRDI portal

ON THE NONLINEAR MATRIX EQUATION <TEX>$X+\sum_{i=1}^{m}A_i^*X^{-q}A_i=Q$</TEX>(0<q≤1) (Q5168639)

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scientific article; zbMATH DE number 6318478
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ON THE NONLINEAR MATRIX EQUATION &lt;TEX&gt;$X+\sum_{i=1}^{m}A_i^*X^{-q}A_i=Q$&lt;/TEX&gt;(0<q≤1)
scientific article; zbMATH DE number 6318478

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    ON THE NONLINEAR MATRIX EQUATION &lt;TEX&gt;$X+\sum_{i=1}^{m}A_i^*X^{-q}A_i=Q$&lt;/TEX&gt;(0<q≤1) (English)
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    18 July 2014
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    nonlinear matrix equation
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    positive definite solution
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    perturbation estimate
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    condition number
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    iterative method
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    numerical example
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