Comment on: ``Perturbation analysis of the nonlinear matrix equation \(X - \sum_{i = 1}^m A_i^* X^{p i} A_i = Q\)'' (Q2319230)
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| English | Comment on: ``Perturbation analysis of the nonlinear matrix equation \(X - \sum_{i = 1}^m A_i^* X^{p i} A_i = Q\)'' |
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Comment on: ``Perturbation analysis of the nonlinear matrix equation \(X - \sum_{i = 1}^m A_i^* X^{p i} A_i = Q\)'' (English)
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16 August 2019
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Summary: We show that the perturbation estimate for the matrix equation \(X - \sum_{i = 1}^m A_i^* X^{p i} A_i = Q\) due to \textit{J. Li} [ibid. 2013, Article ID 979832, 11 p. (2013; Zbl 1470.15012)], is wrong. Our discussion is supported by a counterexample.
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