Solutions and improved perturbation analysis for the matrix equation \(X-A^\ast X^{-p}A=Q(p>0)\)
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Publication:2015760
DOI10.1155/2013/575964zbMath1291.15041arXiv1209.2480OpenAlexW1557205699WikidataQ58917165 ScholiaQ58917165MaRDI QIDQ2015760
Publication date: 23 June 2014
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1209.2480
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Related Items (3)
Condition numbers for the nonlinear matrix equation and their statistical estimation ⋮ Unnamed Item ⋮ Notes on the Hermitian positive definite solutions of a matrix equation
Cites Work
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- Some properties of the nonlinear matrix equation \(X^s + A^* X^{-t} A = Q\)
- Solutions and perturbation analysis for the nonlinear matrix equation \(X + \sum^m_{i=1} A^*_i X^{-1} A_i = I\)
- Positive definite solutions of the matrix equations
- On two perturbation estimates of the extreme solutions to the equations \(X \pm A^*X^{-1}A = Q\)
- Solutions and perturbation estimates for the matrix equation \(X^s+A^*X^{-t}A=Q\)
- Perturbation analysis of the matrix equation \(X-A^*X^{-p}A=Q\)
- On the nonlinear matrix equation \(X - \sum_{i=1}^{m}A_{i}^{*}X^{\delta _{i}}A_{i} = Q\)
- On the existence of Hermitian positive definite solutions of the matrix equation \(X^s+A^*X^{-t}A=Q\)
- Notes on two perturbation estimates of the extreme solutions to the equations \(X\pm A^{*}X^{-1}A=Q\)
- On the Hermitian positive definite solution of the nonlinear matrix equation
- Some investigation on Hermitian positive definite solutions of the matrix equation \(X^s+A^*X^{-t}A=Q\)
- Schur complements and statistics
- Functional calculus for sesquilinear forms and the purification map
- Properties of positive definite solutions of the equation \(X+A^*X^{-2}A=I\)
- On the existence of a positive definite solution of the matrix equation \(X+A^ T X^{-1} A=I\)
- On the positive definite solutions of the matrix equations \(X^{s}\pm A^{\text T} X^{-t} A=I_{n}\)
- On Hermitian positive definite solutions of matrix equation \(X+A^{\ast} X^{-2} A=I\).
- Improved perturbation estimates for the matrix equations \(X \pm A^{*} X^{-1} A=Q\).
- 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
- Solutions and perturbation estimates for the matrix equations \(X\pm A^*X^{-n}A=Q\)
- On positive definite solutions of the matrix equation \(X + A^* X^{-q} A = Q(0 < q \leq 1)\)
- Positive definite solutions of the matrix equations \(X\pm A^{\ast}X^{-q} A=Q\)
- On positive definite solutions of the family of matrix equations \(X+A^*X^{-n}A=Q\).
- On the matrix equation \(X+A^ TX^{-1}A=I\)
- Hermitian solutions of the equation \(X=Q+NX^{-1}N^*\)
- On the matrix equation \(X-A^* X^{-n} A = I\)
- Iterative solution of two matrix equations
- Computing the Extremal Positive Definite Solutions of a Matrix Equation
- A Theory of Condition
- Consistent Estimates of the Parameters of a Linear System
- On Direct Methods for Solving Poisson’s Equations
- Remarks on the Control of Discrete-Time Distributed Parameter Systems
- On matrix equations \(X\pm A^*X^{-2}A=I\)
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