Iterative solutions to coupled Sylvester-conjugate matrix equations

DOI10.1016/j.camwa.2010.04.029zbMath1198.65083OpenAlexW2077269325MaRDI QIDQ604041

Gang Feng, Wei-Jun Wu, Guang-Ren Duan, Ai-guo Wu

Publication date: 8 November 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.04.029

zbMATH Keywords

convergenceiterative algorithmreal representationspectral normcoupled Sylvester-conjugate matrix equation

Mathematics Subject Classification ID

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Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Closed-form solutions to the nonhomogeneous Yakubovich-conjugate matrix equation
• An efficient algorithm for the least-squares reflexive solution of the matrix equation \(A_{1}XB_{1} = C_{1}, A_{2}XB_{2} = C_{2}\)
• On solutions of the matrix equations \(XF - AX = C\) and \(XF - A\bar {X} =C\)
• An iterative algorithm for the reflexive solutions of the generalized coupled Sylvester matrix equations and its optimal approximation
• An iterative method for solving the generalized coupled Sylvester matrix equations over generalized bisymmetric matrices
• Gradient based iterative solutions for general linear matrix equations
• Weighted least squares solutions to general coupled Sylvester matrix equations
• Gradient based iterative algorithm for solving coupled matrix equations
• Hierarchical gradient-based identification of multivariable discrete-time systems
• On solutions of the matrix equations \(X\)-\(AXB\)=\(C\) and \(A{\overline{X}}B\)=\(C\)
• Vector least-squares solutions for coupled singular matrix equations
• Convergence of gradient-based iterative solution of coupled Markovian jump Lyapunov equations
• An iterative algorithm for solving a pair of matrix equations \(AYB=E\), \(CYD=F\) over generalized centro-symmetric matrices
• Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle
• Iterative least-squares solutions of coupled sylvester matrix equations
• On Iterative Solutions of General Coupled Matrix Equations
• The Matrix Equation $A\bar X - XB = C$ and Its Special Cases
• Generalized Schur methods with condition estimators for solving the generalized Sylvester equation
• Gradient based iterative algorithms for solving a class of matrix equations
• Kronecker Maps and Sylvester-Polynomial Matrix Equations
• An algebraic relation between consimilarity and similarity of complex matrices and its applications
• Consimilarity of quaternion matrices and complex matrices

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