Notes on two perturbation estimates of the extreme solutions to the equations \(X\pm A^{*}X^{-1}A=Q\)
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Publication:972902
DOI10.1016/j.amc.2010.02.044zbMath1222.15020OpenAlexW1686899919MaRDI QIDQ972902
Publication date: 21 May 2010
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2010.02.044
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Cites Work
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- Necessary and sufficient conditions for the existence of a positive definite solution of the matrix equation \(X+A^*X^{-1}A=Q\)
- Perturbation analysis of the maximal solution of the matrix equation \(X+A^*X^{-1}A=P\). II
- Hermitian solutions of the equation \(X=Q+NX^{-1}N^*\)
- Iterative solution of two matrix equations
- Improved methods and starting values to solve the matrix equations $X\pm A^*X^{-1}A=I$ iteratively
- Perturbation analysis of the maximal solution of the matrix equation \(X+A^*X^{-1}A=P\)
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