Generalized conjugate direction algorithm for solving the general coupled matrix equations over symmetric matrices
From MaRDI portal
Publication:342859
DOI10.1007/s11075-016-0109-8zbMath1408.65019OpenAlexW2282074372MaRDI QIDQ342859
Publication date: 18 November 2016
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-016-0109-8
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (25)
The iterative algorithm for solving a class of generalized coupled Sylvester-transpose equations over centrosymmetric or anti-centrosymmetric matrix ⋮ Noise-tolerant continuous-time Zhang neural networks for time-varying Sylvester tensor equations ⋮ An iterative algorithm for the least Frobenius norm Hermitian and generalized skew Hamiltonian solutions of the generalized coupled Sylvester-conjugate matrix equations ⋮ The relaxed gradient-based iterative algorithms for a class of generalized coupled Sylvester-conjugate matrix equations ⋮ Approximated least-squares solutions of a generalized Sylvester-transpose matrix equation via gradient-descent iterative algorithm ⋮ Generalized conjugate direction algorithm for solving generalized coupled Sylvester transpose matrix equations over reflexive or anti-reflexive matrices ⋮ Generalized conjugate direction method for solving a class of generalized coupled Sylvester-conjugate transpose matrix equations over generalized Hamiltonian matrices ⋮ Convergence analysis of gradient-based iterative algorithms for a class of rectangular Sylvester matrix equations based on Banach contraction principle ⋮ A multi-step Smith-inner-outer iteration algorithm for solving coupled continuous Markovian jump Lyapunov matrix equations ⋮ A minimum residual based gradient iterative method for a class of matrix equations ⋮ Solving constrained quadratic inverse eigenvalue problem via conjugate direction method ⋮ Gradient-based iterative algorithms for generalized coupled Sylvester-conjugate matrix equations ⋮ The least squares solution of a class of generalized Sylvester-transpose matrix equations with the norm inequality constraint ⋮ A numerical method on the mixed solution of matrix equation \(\sum_{i = 1}^t A_i X_i B_i = E\) with sub-matrix constraints and its application ⋮ An iterative algorithm for generalized Hamiltonian solution of a class of generalized coupled Sylvester-conjugate matrix equations ⋮ An iterative algorithm for the least Frobenius norm least squares solution of a class of generalized coupled Sylvester-transpose linear matrix equations ⋮ A generalized modified Hermitian and skew-Hermitian splitting (GMHSS) method for solving complex Sylvester matrix equation ⋮ The least square solution with the least norm to a system of quaternion matrix equations ⋮ A modified CG algorithm for solving generalized coupled Sylvester tensor equations ⋮ Convergence of HS version of BCR algorithm to solve the generalized Sylvester matrix equation over generalized reflexive matrices ⋮ Least squares solutions of quadratic inverse eigenvalue problem with partially bisymmetric matrices under prescribed submatrix constraints ⋮ The double-step scale splitting method for solving complex Sylvester matrix equation ⋮ Computing symmetric solutions of general Sylvester matrix equations via Lanczos version of biconjugate residual algorithm ⋮ Conjugate gradient least squares algorithm for solving the generalized coupled Sylvester-conjugate matrix equations ⋮ Convergence characterisation of an iterative algorithm for periodic Lyapunov matrix equations
Cites Work
- The reflexive least squares solutions of the general coupled matrix equations with a submatrix constraint
- The modified conjugate gradient methods for solving a class of generalized coupled Sylvester-transpose matrix equations
- 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
- An iterative updating method for undamped structural systems
- 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
- Simultaneous solutions of matrix equations and simultaneous equivalence of matrices
- Minimal residual methods for large scale Lyapunov equations
- Systems of coupled generalized Sylvester matrix equations
- On Hermitian and skew-Hermitian splitting iteration methods for the linear matrix equation \(AXB=C\)
- Least squares solutions of the matrix equation \(AXB+CYD=E\) with the least norm for symmetric arrowhead matrices
- An efficient algorithm for the solution of a coupled Sylvester equation appearing in descriptor systems
- Analysis of an iterative algorithm to solve the generalized coupled Sylvester matrix equations
- Finite iterative algorithms for the reflexive and anti-reflexive solutions of the matrix equation \(A_1X_1B_1+A_2X_2B_2=C\)
- Generating conjugate directions for arbitrary matrices by matrix equations. I
- Generating conjugate directions for arbitrary matrices by matrix equations. II
- The general coupled matrix equations over generalized bisymmetric matrices
- An iterative method for the symmetric and skew symmetric solutions of a linear matrix equation \(AXB+CYD=E\)
- 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
- The reflexive and anti-reflexive solutions of a linear matrix equation and systems of matrix equations
- On the generalized reflexive and anti-reflexive solutions to a system of matrix equations
- Developing BiCOR and CORS methods for coupled Sylvester-transpose and periodic Sylvester matrix equations
- The generalized QMRCGSTAB algorithm for solving Sylvester-transpose matrix equations
- An iterative updating method for damped structural systems using symmetric eigenstructure assignment
- Matrix form of the CGS method for solving general coupled matrix equations
- An iterative algorithm for solving a pair of matrix equations \(AYB=E\), \(CYD=F\) over generalized centro-symmetric matrices
- An iterative method for the skew-symmetric solution and the optimal approximate solution of the matrix equation \(AXB=C\)
- Iterative least-squares solutions of coupled sylvester matrix equations
- Solvability conditions and general solution for mixed Sylvester equations
- On Iterative Solutions of General Coupled Matrix Equations
- Truncated low‐rank methods for solving general linear matrix equations
- A new model updating method for damped structural systems
- Distributed and Shared Memory Block Algorithms for the Triangular Sylvester Equation with $\operatorname{sep}^{ - 1} $ Estimators
- Generalized Schur methods with condition estimators for solving the generalized Sylvester equation
- Consistency of a pair of generalized Sylvester equations
- LAPACK-style algorithms and software for solving the generalized Sylvester equation and estimating the separation between regular matrix pairs
- The (R, S)-symmetric least squares solutions of the general coupled matrix equations
- Developing the CGLS algorithm for the least squares solutions of the general coupled matrix equations
- Gradient based iterative algorithms for solving a class of matrix equations
- Krylov Subspace Methods for Large-Scale Constrained Sylvester Equations
- Best Approximate Solution of Matrix Equation AXB+CYD=E
- Block Krylov subspace methods for solving large Sylvester equations
This page was built for publication: Generalized conjugate direction algorithm for solving the general coupled matrix equations over symmetric matrices