The BCR algorithms for solving the reflexive or anti-reflexive solutions of generalized coupled Sylvester matrix equations
From MaRDI portal
Publication:2217600
DOI10.1016/j.jfranklin.2020.09.030zbMath1497.65078OpenAlexW3091226881MaRDI QIDQ2217600
Publication date: 31 December 2020
Published in: Journal of the Franklin Institute (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfranklin.2020.09.030
Related Items (14)
A simple method for solving matrix equations \(AXB = D\) and \(GXH = C\) ⋮ A finite iterative algorithm for the general discrete-time periodic Sylvester matrix equations ⋮ Generalized conjugate direction algorithm for solving generalized coupled Sylvester transpose matrix equations over reflexive or anti-reflexive matrices ⋮ An iterative method based on ADMM for solving generalized Sylvester matrix equations ⋮ New results of the IO iteration algorithm for solving Sylvester matrix equation ⋮ Adaptive parameter alternating direction algorithm for centrosymmetric solutions of a class of generalized coupled Sylvester-transpose matrix equations ⋮ Nonlinear function activated GNN versus ZNN for online solution of general linear matrix equations ⋮ Some results for Kaczmarz method to solve Sylvester matrix equations ⋮ A minimum residual based gradient iterative method for a class of matrix equations ⋮ An iterative algorithm for generalized Hamiltonian solution of a class of generalized coupled Sylvester-conjugate matrix equations ⋮ Iterative algorithms for discrete-time periodic Sylvester matrix equations and its application in antilinear periodic system ⋮ An iterative algorithm for generalized periodic multiple coupled Sylvester matrix equations ⋮ Numerical solutions for coupled trapezoidal fully fuzzy Sylvester matrix equations ⋮ Developing Kaczmarz method for solving Sylvester matrix equations
Cites Work
- Unnamed Item
- Iterative algorithms for \(X+A^{\mathrm T}X^{-1}A=I\) by using the hierarchical identification principle
- Nested splitting conjugate gradient method for matrix equation \(AXB=C\) and preconditioning
- The reflexive least squares solutions of the matrix equation \(A_1X_1B_1+A_2X_2B_2+\cdots +A_lX_lB_l=C\) with a submatrix constraint
- Matrix iterative methods for solving the Sylvester-transpose and periodic Sylvester matrix equations
- A property of the eigenvalues of the symmetric positive definite matrix and the iterative algorithm for coupled 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 solving generalized coupled Sylvester systems. I: One-sided and generalized coupled Sylvester matrix equations over generalized reflexive solutions
- Finite iterative algorithms for solving generalized coupled Sylvester systems. II: Two-sided and generalized coupled Sylvester matrix equations over reflexive solutions
- An alternating direction method for nonnegative solutions of the matrix equation \(AX+YB=C\)
- A note on the iterative solutions of general coupled matrix equation
- Two algorithms for finding the Hermitian reflexive and skew-Hermitian solutions of Sylvester matrix equations
- Iterative solutions to the Kalman-Yakubovich-conjugate matrix equation
- Finite iterative algorithms for a common solution to a group of complex matrix equations
- Iterative solutions to coupled Sylvester-transpose matrix equations
- New solution bounds for the continuous algebraic Riccati equation
- LSQR iterative method for generalized coupled Sylvester matrix equations
- The general coupled matrix equations over generalized bisymmetric matrices
- An iterative method for symmetric solutions and optimal approximation solution of the system of matrix equations \(A_{1}XB_{1} = C_{1}, A_{2}XB_{2} = C_{2}\)
- Gradient based iterative solutions for general linear matrix equations
- Generalized reflexive solutions of the matrix equation \(AXB=D\) and an associated optimal approximation problem
- Solutions to a family of matrix equations by using the Kronecker matrix polynomials
- An iteration method for the symmetric solutions and the optimal approximation solution of the matrix equation \(AXB\)=\(C\)
- Convergence of HS version of BCR algorithm to solve the generalized Sylvester matrix equation over generalized reflexive matrices
- The solution to matrix equation \(AX+X^TC=B\)
- BCR method for solving generalized coupled Sylvester equations over centrosymmetric or anti-centrosymmetric matrix
- Computing symmetric solutions of general Sylvester matrix equations via Lanczos version of biconjugate residual algorithm
- Iterative method to solve the generalized coupled Sylvester-transpose linear matrix equations over reflexive or anti-reflexive matrix
- Symmetric least squares solution of a class of Sylvester matrix equations via MINIRES algorithm
- Positive definite solutions of the nonlinear matrix equation \(X + A^H\bar{X}^{-1}A = I\)
- On inexact Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems
- Least squares solutions to \(AX = B\) for bisymmetric matrices under a central principal submatrix constraint and the optimal approximation
- The reflexive solutions of the matrix equation \(AX B = C\)
- 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
- On Hermitian and Skew-Hermitian Splitting Ietration Methods for the Continuous Sylvester Equations
- The Solutions of Matrix Equation $AX=B$ Over a Matrix Inequality Constraint
- On the reflexive and anti-reflexive solutions of the generalised coupled Sylvester matrix equations
- Iterative orthogonal direction methods for Hermitian minimum norm solutions of two consistent matrix equations
- Generalized Reflexive Matrices: Special Properties and Applications
- A Cyclic Low-Rank Smith Method for Large Sparse Lyapunov Equations
- Finite algorithms for solving the coupled Sylvester-conjugate matrix equations over reflexive and Hermitian reflexive matrices
- The Inverse Eigenproblem of Centrosymmetric Matrices with a Submatrix Constraint and Its Approximation
- Adaptive Digital Control of Hammerstein Nonlinear Systems with Limited Output Sampling
- Observer-based Adaptive fuzzy control of time-delay uncertain nonlinear systems
- Implementation of different computational variations of biconjugate residual methods
This page was built for publication: The BCR algorithms for solving the reflexive or anti-reflexive solutions of generalized coupled Sylvester matrix equations
