A Relaxed Gradient Based Algorithm for Solving Extended <scp>S</scp>ylvester‐Conjugate Matrix Equations

DOI10.1002/asjc.805zbMath1305.93072OpenAlexW1896247114MaRDI QIDQ5172915

Ahmed M. E. Bayoumi, Talaat S. El Danaf, Mohamed A. Ramadan

Publication date: 6 February 2015

Published in: Asian Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/asjc.805

zbMATH Keywords

Frobenius normrelaxation parametersSylvester equations

Mathematics Subject Classification ID

Related Items (9)

Combined real and imaginary parts method for solving generalized Lyapunov matrix equation ⋮ The relaxed gradient-based iterative algorithms for a class of generalized coupled Sylvester-conjugate matrix equations ⋮ Unnamed Item ⋮ The Unified Frame of Alternating Direction Method of Multipliers for Three Classes of Matrix Equations Arising in Control Theory ⋮ A modified gradient‐based algorithm for solving extended Sylvester‐conjugate matrix equations ⋮ The least squares solution of a class of generalized Sylvester-transpose matrix equations with the norm inequality constraint ⋮ Explicit and Iterative Methods for Solving the Matrix EquationAV + BW = EVF + C ⋮ A new approximation algorithm for solving generalized Lyapunov matrix equations ⋮ On the relaxed gradient-based iterative methods for the generalized coupled Sylvester-transpose matrix equations

Cites Work

• Unnamed Item
• Hierarchical multi-innovation stochastic gradient algorithm for Hammerstein nonlinear system modeling
• Finite iterative algorithms for solving generalized coupled Sylvester systems. I: One-sided and generalized coupled Sylvester matrix equations over generalized reflexive solutions
• On closed-form solutions to the generalized Sylvester-conjugate matrix equation
• Iterative solutions to coupled Sylvester-conjugate matrix equations
• Gradient based and least squares based iterative algorithms for matrix equations \(AXB + CX^{T}D = F\)
• Iterative solutions to the Kalman-Yakubovich-conjugate matrix equation
• Finite iterative solutions to a class of complex matrix equations with conjugate and transpose of the unknowns
• Iterative solutions to the extended Sylvester-conjugate matrix equations
• Iterative solutions to matrix equations of the form \(A_{i}XB_{i}=F_{i}\)
• On solutions of the matrix equations \(XF - AX = C\) and \(XF - A\bar {X} =C\)
• Gradient based iterative solutions for general linear matrix equations
• Hierarchical gradient-based identification of multivariable discrete-time systems
• On solutions of the matrix equations \(X\)-\(AXB\)=\(C\) and \(A{\overline{X}}B\)=\(C\)
• Parametric solutions to Sylvester-conjugate matrix equations
• An iterative algorithm for the generalized reflexive solutions of the general coupled matrix equations
• An iterative method for the skew-symmetric solution and the optimal approximate solution of the matrix equation \(AXB=C\)
• Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle
• Iterative least-squares solutions of coupled sylvester matrix equations
• Solutions of the generalized Sylvester matrix equation and the application in eigenstructure assignment
• On Iterative Solutions of General Coupled Matrix Equations
• Solution to Generalized Sylvester Matrix Equations
• Hierarchical least squares identification methods for multivariable systems
• Gradient based iterative algorithms for solving a class of matrix equations
• An algebraic relation between consimilarity and similarity of complex matrices and its applications
• Observer-based Adaptive fuzzy control of time-delay uncertain nonlinear systems
• Consimilarity of quaternion matrices and complex matrices

This page was built for publication: A Relaxed Gradient Based Algorithm for Solving Extended <scp>S</scp>ylvester‐Conjugate Matrix Equations