The matrix iterative methods for solving a class of generalized coupled Sylvester-conjugate linear matrix equations
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Publication:2282367
DOI10.1016/j.apm.2015.04.011zbMath1443.65057OpenAlexW226875121MaRDI QIDQ2282367
Publication date: 7 January 2020
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2015.04.011
convergence analysisnumerical experimentsmatrix iterative methodgeneralized coupled Sylvester-conjugate matrix equation
Related Items (12)
A matrix CRS iterative method for solving a class of coupled Sylvester-transpose matrix equations ⋮ New proof of the gradient-based iterative algorithm for the Sylvester conjugate matrix equation ⋮ New proof of the gradient-based iterative algorithm for a complex conjugate and transpose matrix equation ⋮ Iterative optimal solutions of linear matrix equations for hyperspectral and multispectral image fusing ⋮ Convergence properties of BCR method for generalized Sylvester matrix equation over generalized reflexive and anti-reflexive matrices ⋮ Finite iterative Hermitian \(R\)-conjugate solutions of the generalized coupled Sylvester-conjugate matrix equations ⋮ The accelerated gradient based iterative algorithm for solving a class of generalized Sylvester-transpose matrix equation ⋮ Global FOM and GMRES algorithms for a class of complex matrix equations ⋮ Reduced-rank gradient-based algorithms for generalized coupled Sylvester matrix equations and its applications ⋮ Restarted global FOM and GMRES algorithms for the Stein-like matrix equation \(X + \mathcal{M}(X) = C\) ⋮ A flexible global GCRO-DR method for shifted linear systems and general coupled matrix equations ⋮ Computing symmetric solutions of general Sylvester matrix equations via Lanczos version of biconjugate residual algorithm
Uses Software
Cites Work
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- Nested splitting conjugate gradient method for matrix equation \(AXB=C\) and preconditioning
- Matrix iterative methods for solving the Sylvester-transpose and periodic Sylvester matrix equations
- Iterative algorithms for the minimum-norm solution and the least-squares solution of the linear matrix equations \(A_1XB_1 + C_1X^TD_1 = M_1, A_2XB_2 + C_2 X^TD_2 = M_2\)
- Finite iterative algorithms for the generalized Sylvester-conjugate matrix equation \(AX+BY=E\overline{X}F+S\)
- Results concerning interval linear systems with multiple right-hand sides and the interval matrix equation \(AX=B\)
- LSQR iterative method for generalized coupled Sylvester matrix equations
- Consistency for bi(skew)symmetric solutions to systems of generalized Sylvester equations over a finite central algebra
- The matrix equations \(AX=C\), \(XB=D\)
- Least-squares solution with the minimum-norm for the matrix equation \((A\times B,G\times H) = (C,D)\)
- A fast algorithm for the inversion of general Toeplitz matrices
- The general coupled matrix equations over generalized bisymmetric matrices
- A new iteration method for the matrix equation \(AX = B\)
- On the symmetric solutions of linear matrix equations
- 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
- Successive projection iterative method for solving matrix equation \(AX=B\)
- Ranks and the least-norm of the general solution to a system of quaternion matrix equations
- Gradient based iterative algorithm for solving coupled matrix equations
- On the reducibility of centrosymmetric matices - applications in engineering problems
- The matrix equation AXB+CYD=E
- On the generalized reflexive and anti-reflexive solutions to a system of matrix equations
- The \((R, S)\)-symmetric and \((R, S)\)-skew symmetric solutions of the pair of matrix equations \({A}_1 {XB}_1 = C_1\) and \(A_2 {XB}_2 = C_2\)
- On solutions of the matrix equations \(X\)-\(AXB\)=\(C\) and \(A{\overline{X}}B\)=\(C\)
- Minimization problems for \((R,S)\)-symmetric and \((R,S)\)-skew symmetric matrices
- The solution to matrix equation \(AX+X^TC=B\)
- Iterative method to solve the generalized coupled Sylvester-transpose linear matrix equations over reflexive or anti-reflexive matrix
- The modified accelerated Bregman method for regularized basis pursuit problem
- The common solution to six quaternion matrix equations with applications
- An iterative method for the skew-symmetric solution and the optimal approximate solution of the matrix equation \(AXB=C\)
- Least squares solutions to \(AX = B\) for bisymmetric matrices under a central principal submatrix constraint and the optimal approximation
- 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
- The block least squares method for solving nonsymmetric linear systems with multiple right-hand sides
- Global least squares method (Gl-LSQR) for solving general linear systems with several right-hand sides
- Eigenvectors of certain matrices
- The coupled Sylvester-transpose matrix equations over generalized centro-symmetric matrices
- The Solutions of Matrix Equation $AX=B$ Over a Matrix Inequality Constraint
- The generalized centro-symmetric and least squares generalized centro-symmetric solutions of the matrix equation AYB + CYTD = E
- Iterative orthogonal direction methods for Hermitian minimum norm solutions of two consistent matrix equations
- Centrosymmetric (Cross-Symmetric) Matrices, Their Basic Properties, Eigenvalues, and Eigenvectors
- CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems
- Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
- A Cyclic Low-Rank Smith Method for Large Sparse Lyapunov Equations
- Low Rank Solution of Lyapunov Equations
- The Inverse Eigenproblem of Centrosymmetric Matrices with a Submatrix Constraint and Its Approximation
- A matrix LSQR iterative method to solve matrix equationAXB=C
- A representation of the general common solution to the matrix equations \(A_1XB_1=C_1\) and \(A_2XB_2=C_2\) with applications
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