Solvability theory and iteration method for one self-adjoint polynomial matrix equation
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Publication:2336633
DOI10.1155/2014/681605zbMath1442.65065OpenAlexW2018419772WikidataQ59054020 ScholiaQ59054020MaRDI QIDQ2336633
Mei-Xiang Zhao, Si-Tao Ling, Zhi-Gang Jia, Ming-hui Wang
Publication date: 19 November 2019
Published in: Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2014/681605
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Cites Work
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- On the Hermitian positive definite solutions of nonlinear matrix equation \(X^s + A^*X^{-t}A = Q\)
- The extremal solution of the matrix equation \(X^s+A^\ast X^{-q}A=I\)
- Solvability and sensitivity analysis of polynomial matrix equation \(X^s + A^TX^tA = Q\)
- The Riccati equation
- Residual bounds of approximate solutions of the algebraic Riccati equation
- Backward error for the discrete-time algebraic Riccati equation
- Operator inequalities associated with Hölder-McCarthy and Kantorovich inequalities
- On the positive definite solutions of the matrix equations \(X^{s}\pm A^{\text T} X^{-t} A=I_{n}\)
- Matrix Riccati equations in control and systems theory
- On the nonlinear matrix equation \(X+A^*{\mathcal F}(X)A=Q\): solutions and perturbation theory
- A structure-preserving doubling algorithm for continuous-time algebraic Riccati equations
- A step toward a unified treatment of continuous and discrete time control problems
- Perturbation theory and backward error for \(AX - XB = C\)
- Transformations between discrete-time and continuous-time algebraic Riccati equations
- Positive definite solutions of the nonlinear matrix equation \(X + A^H\bar{X}^{-1}A = I\)
- On an Iteration Method for Solving a Class of Nonlinear Matrix Equations
- On the matrix equation arising in an interpolation problem
- Doubling algorithm for continuous-time algebraic Riccati equation
- A Schur method for solving algebraic Riccati equations
- Backward Perturbation Analysis of the Periodic Discrete-Time Algebraic Riccati Equation
- Structure-Preserving Algorithms for Periodic Discrete-Time Algebraic Riccati Equations
- Note on Perturbation Theory for Algebraic Riccati Equations
- Invariant metrics, contractions and nonlinear matrix equations
- A Perturbation Analysis for Nonlinear Selfadjoint Operator Equations
- Matrix inequalities
- Perturbation analysis of the maximal solution of the matrix equation \(X+A^*X^{-1}A=P\)