Existence and uniqueness of the positive definite solution for the matrix equation \(X=Q+A^\ast(\hat{X}-C)^{-1}A\)
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Publication:2015238
DOI10.1155/2013/216035zbMath1291.15038OpenAlexW2082109413WikidataQ58915584 ScholiaQ58915584MaRDI QIDQ2015238
Publication date: 23 June 2014
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2013/216035
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Related Items (4)
On Hermitian positive definite solutions of the nonlinear matrix equation \(X-A^{*}e^{X}A=I\) ⋮ Positive definite solutions of the matrix equation \(X^r - \sum_{i = 1}^m A_i^{\ast} X^{- \delta_i} A_i = I\) ⋮ A fixed point theorem for monotone maps and its applications to nonlinear matrix equations ⋮ On solution and perturbation estimates for the nonlinear matrix equation \(X-A^*e^XA=I\)
Cites Work
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- Notes on two perturbation estimates of the extreme solutions to the equations \(X\pm A^{*}X^{-1}A=Q\)
- Solving the nonlinear matrix equation \(X = Q + \sum ^{m}_{i=1}M_{i}X^{\delta _{i}}M^{*}_{i}\) via a contraction principle
- On Hermitian positive definite solution of the matrix equation \(X-\sum _{i=1}^mA_i^*X^r A_i = Q\)
- Perturbation analysis of the matrix equation \(X=Q+A^{\text H}(\widehat X-C)^{-1}A\)
- A nonlinear matrix equation connected to interpolation theory.
- Hermitian solutions of the equation \(X=Q+NX^{-1}N^*\)
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