On solutions of matrix equations \(V - AVF = BW\) and \(V-A\bar V F= BW\)

From MaRDI portal
Publication:949483

DOI10.1016/j.mcm.2007.06.024zbMath1145.15302OpenAlexW385350483MaRDI QIDQ949483

Guang-Ren Duan, Yan-Ming Fu, Ai-guo Wu

Publication date: 21 October 2008

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2007.06.024




Related Items (35)

On solutions to the matrix equations \(XB-AX=CY\) and \(XB-A\hat{X}=CY\)Closed-form solutions to the nonhomogeneous Yakubovich-conjugate matrix equationSolutions to matrix equations \(X - AXB = CY + R\) and \(X - A\hat{X}B = CY + R\)On matrix equations \(X - AXF = C\) and \(X - A\overline{X}F = C\)The minimal norm least squares Hermitian solution of the complex matrix equation \(AXB+CXD=E\)The MGPBiCG method for solving the generalized coupled Sylvester-conjugate matrix equationsConjugate gradient least squares algorithm for solving the generalized coupled Sylvester matrix equationsNew proof of the gradient-based iterative algorithm for the Sylvester conjugate matrix equationNew proof of the gradient-based iterative algorithm for a complex conjugate and transpose matrix equationFinite iterative algorithms for the generalized Sylvester-conjugate matrix equation \(AX+BY=E\overline{X}F+S\)Generalized conjugate direction algorithm for solving general coupled Sylvester matrix equationsA finite iterative algorithm for solving the complex generalized coupled Sylvester matrix equations by using the linear operatorsFinite iterative solutions to a class of complex matrix equations with conjugate and transpose of the unknownsA shifted complex global Lanczos method and the quasi-minimal residual variant for the Stein-conjugate matrix equation \(X + A \overline{X} B = C\)On the minimum-norm least squares solution of the complex generalized coupled Sylvester matrix equationsFixed point theorems for ;1-;2_M-Geraghty type contractions with applications in matrix equationsOn solutions of the quaternion matrix equation \(AX=B\) and their applications in color image restorationOn the conjugate product of complex polynomial matricesThe complete solution to the Sylvester-polynomial-conjugate matrix equationsOn the least squares generalized Hamiltonian solution of generalized coupled Sylvester-conjugate matrix equationsOn closed-form solutions to the generalized Sylvester-conjugate matrix equationA real representation method for solving Yakubovich-\(j\)-conjugate quaternion matrix equationFinite iterative solutions to coupled Sylvester-conjugate matrix equationsReduced-rank gradient-based algorithms for generalized coupled Sylvester matrix equations and its applicationsOn the explicit solutions of forms of the Sylvester and the Yakubovich matrix equationsIterative solutions to the extended Sylvester-conjugate matrix equationsFinite iterative algorithms for the reflexive and anti-reflexive solutions of the matrix equation \(A_1X_1B_1+A_2X_2B_2=C\)Modified conjugate gradient method for obtaining the minimum-norm solution of the generalized coupled Sylvester-conjugate matrix equationsFinite iterative method for solving coupled Sylvester-transpose matrix equationsLeast squares solution of the quaternion matrix equation with the least normBCR method for solving generalized coupled Sylvester equations over centrosymmetric or anti-centrosymmetric matrixCommon fixed point theorems for rational \(F_{\mathcal{R}}\)-contractive pairs of mappings with applicationsIterative methods to solve the generalized coupled Sylvester-conjugate matrix equations for obtaining the centrally symmetric (centrally antisymmetric) matrix solutionsFinite algorithms for solving the coupled Sylvester-conjugate matrix equations over reflexive and Hermitian reflexive matricesTwo modified least-squares iterative algorithms for the Lyapunov matrix equations



Cites Work


This page was built for publication: On solutions of matrix equations \(V - AVF = BW\) and \(V-A\bar V F= BW\)