Solvability and sensitivity analysis of polynomial matrix equation \(X^s + A^TX^tA = Q\)
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Publication:1008585
DOI10.1016/j.amc.2008.12.048zbMath1162.15006OpenAlexW2014756097MaRDI QIDQ1008585
Publication date: 30 March 2009
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2008.12.048
condition numberpolynomial matrix equationalgebraic perturbationsymmetric positive definite solution
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Hermitian Polynomial Matrix Equations and Applications ⋮ Bauer's spectral factorization method for low order multiwavelet filter design ⋮ The extremal solution of the matrix equation \(X^s+A^\ast X^{-q}A=I\) ⋮ Positive definite solutions of the nonlinear matrix equation \(X + A^H\bar{X}^{-1}A = I\) ⋮ Perturbation bounds for matrix functions ⋮ Positive operator based iterative algorithms for solving Lyapunov equations for Itô stochastic systems with Markovian jumps ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The positive definite solution to a nonlinear matrix equation ⋮ Solvability theory and iteration method for one self-adjoint polynomial matrix equation
Cites Work
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