On the generalized bisymmetric and skew-symmetric solutions of the system of generalized Sylvester matrix equations

DOI10.1080/03081087.2010.524363zbMath1242.65075OpenAlexW2053198597MaRDI QIDQ3104559

Mehdi Dehghan, Masoud Hajarian

Publication date: 14 December 2011

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2010.524363

zbMATH Keywords

iterative algorithmnumerical examplesLyapunov matrix equationskew-symmetric matrixgeneralized bisymmetric matrixsystem of generalized sylvester matrix equationssystem of generalized Sylvester matrix equations

Mathematics Subject Classification ID

Related Items (27)

The iterative algorithm for solving a class of generalized coupled Sylvester-transpose equations over centrosymmetric or anti-centrosymmetric matrix ⋮ The reflexive least squares solutions of the general coupled matrix equations with a submatrix constraint ⋮ Symmetric solutions of the coupled generalized Sylvester matrix equations via BCR algorithm ⋮ The modified conjugate gradient methods for solving a class of generalized coupled Sylvester-transpose matrix equations ⋮ A relaxed gradient based algorithm for solving generalized coupled Sylvester matrix equations ⋮ An iterative algorithm for the least Frobenius norm Hermitian and generalized skew Hamiltonian solutions of the generalized coupled Sylvester-conjugate matrix equations ⋮ Iterative method to solve the generalized coupled Sylvester-transpose linear matrix equations over reflexive or anti-reflexive matrix ⋮ Minimum-norm Hamiltonian solutions of a class of generalized Sylvester-conjugate matrix equations ⋮ The Hermitian positive definite solution of the nonlinear matrix equation ⋮ Matrix iterative methods for solving the Sylvester-transpose and periodic Sylvester matrix equations ⋮ An efficient method for special least squares solution of the complex matrix equation \((AXB,CXD)=(E,F)\) ⋮ On the least squares generalized Hamiltonian solution of generalized coupled Sylvester-conjugate matrix equations ⋮ Least squares algorithm for an input nonlinear system with a dynamic subspace state space model ⋮ Convergence properties of BCR method for generalized Sylvester matrix equation over generalized reflexive and anti-reflexive matrices ⋮ The least squares solution of a class of generalized Sylvester-transpose matrix equations with the norm inequality constraint ⋮ On the generalized reflexive and anti-reflexive solutions to a system of matrix equations ⋮ An iterative algorithm for the least Frobenius norm least squares solution of a class of generalized coupled Sylvester-transpose linear matrix equations ⋮ Least squares Hermitian solution of the complex matrix equation \(AXB+CXD=E\) with the least norm ⋮ On the generalized bi (skew-) symmetric solutions of a linear matrix equation and its procrust problems ⋮ Developing BiCOR and CORS methods for coupled Sylvester-transpose and periodic Sylvester matrix equations ⋮ Modified conjugate gradient method for obtaining the minimum-norm solution of the generalized coupled Sylvester-conjugate matrix equations ⋮ Developing CGNE algorithm for the periodic discrete-time generalized coupled Sylvester matrix equations ⋮ BCR method for solving generalized coupled Sylvester equations over centrosymmetric or anti-centrosymmetric matrix ⋮ Conjugate gradient least squares algorithm for solving the generalized coupled Sylvester-conjugate matrix equations ⋮ Iterative algorithm for the reflexive solutions of the generalized Sylvester matrix equation ⋮ Developing the CGLS algorithm for the least squares solutions of the general coupled matrix equations ⋮ Finite algorithms for solving the coupled Sylvester-conjugate matrix equations over reflexive and Hermitian reflexive matrices

Cites Work

• A new projection method for solving large Sylvester equations
• Minimal residual methods augmented with eigenvectors for solving Sylvester equations and generalized Sylvester equations
• Gradient based iterative solutions for general linear matrix equations
• The reflexive and anti-reflexive solutions of a linear matrix equation and systems of matrix equations
• Weighted least squares solutions to general coupled Sylvester matrix equations
• A shift-splitting hierarchical identification method for solving Lyapunov matrix equations
• Ranks and the least-norm of the general solution to a system of quaternion matrix equations
• SOR for \(AX-XB=C\)
• A convergence analysis of GMRES and FOM methods for Sylvester equations
• A system of matrix equations and a linear matrix equation over arbitrary regular rings with identity
• The polynomial solution to the Sylvester matrix equation
• The common solution to six quaternion matrix equations with applications
• On the generalized Sylvester mapping and matrix equations
• Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle
• Bisymmetric and centrosymmetric solutions to systems of real quaternion matrix equations
• Low rank approximate solutions to large Sylvester matrix equations
• Iterative least-squares solutions of coupled sylvester matrix equations
• A new solution to the generalized Sylvester matrix equation \(AV-EVF=BW\)
• Identification of Hammerstein nonlinear ARMAX systems
• A system of four matrix equations over von Neumann regular rings and its applications
• An efficient algorithm for the generalized centro-symmetric solution of matrix equation \(AXB = C\)
• On Iterative Solutions of General Coupled Matrix Equations
• ON THE REFLEXIVE SOLUTIONS OF THE MATRIX EQUATION AXB + CYD = E
• A Riccati Transformation Method for Solving Linear BVP<scp>s</scp>. I: Theoretical Aspects
• A Hessenberg-Schur method for the problem AX + XB= C
• On the solution of the continuous-time Lyapunov matrix equation in two canonical forms
• Improving the Efficiency of Matrix Operations in the Numerical Solution of Stiff Ordinary Differential Equations
• Closed-form solution of the continuous-time Lyapunov matrix equation
• Application of ADI Iterative Methods to the Restoration of Noisy Images
• Hierarchical least squares identification methods for multivariable systems
• Gradient based iterative algorithms for solving a class of matrix equations
• Solutions to generalized Sylvester matrix equation by Schur decomposition
• Fast algorithms for the Sylvester equation \(AX-XB^{T}=C\)
• Block Krylov subspace methods for solving large Sylvester equations

This page was built for publication: On the generalized bisymmetric and skew-symmetric solutions of the system of generalized Sylvester matrix equations