A new approximation algorithm for solving generalized Lyapunov matrix equations
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Publication:2059657
DOI10.1016/j.cam.2021.113898zbMath1484.65077OpenAlexW3209705863MaRDI QIDQ2059657
Akbar Shirilord, Mehdi Dehghan
Publication date: 14 December 2021
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2021.113898
convergence analysisspectral radiusoptimal parametercomplex matricesgeneralized Lyapunov matrix equation
Related Items (4)
Generalized conjugate direction algorithm for solving general coupled Sylvester matrix equations ⋮ Momentum acceleration-based matrix splitting method for solving generalized absolute value equation ⋮ A Newton iterative method for coupled Lyapunov matrix equations ⋮ Modulus-based matrix splitting methods for complex linear complementarity problem
Cites Work
- Characterization of solutions of non-symmetric algebraic Riccati equations
- Analysis of an iterative algorithm to solve the generalized coupled Sylvester matrix equations
- A system of quaternary coupled Sylvester-type real quaternion matrix equations
- An iterative algorithm for discrete periodic Lyapunov matrix equations
- Iterative solutions to matrix equations of the form \(A_{i}XB_{i}=F_{i}\)
- Two iterative algorithms for solving coupled matrix equations over reflexive and anti-reflexive matrices
- On the Hermitian and skew-Hermitian splitting-like iteration approach for solving complex continuous-time algebraic Riccati matrix equation
- On solutions of matrix equation \(AXB+CYD=F\)
- A simultaneous decomposition for seven matrices with applications
- An SOR implicit iterative algorithm for coupled Lyapunov equations
- On positive definite solutions of the nonlinear matrix equations \(X \pm A^* X^q A = Q\)
- Constrained two-sided coupled Sylvester-type quaternion matrix equations
- Global FOM and GMRES algorithms for matrix equations
- Canonical forms for bilinear systems
- A generalized modified Hermitian and skew-Hermitian splitting (GMHSS) method for solving complex Sylvester matrix equation
- Sylvester Tikhonov-regularization methods in image restoration
- Low rank methods for a class of generalized Lyapunov equations and related issues
- A note on the numerical approximate solutions for generalized Sylvester 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
- The general solution to a system of real quaternion matrix equations
- A new solution to the generalized Sylvester matrix equation \(AV-EVF=BW\)
- On the numerical solution of \(AX-XB=C\)
- On generalized successive overrelaxation methods for augmented linear systems
- On Hermitian and Skew-Hermitian Splitting Ietration Methods for the Continuous Sylvester Equations
- Implicit Iterative Algorithms for Continuous Markovian Jump Lyapunov Equations
- Lyapunov Equations, Energy Functionals, and Model Order Reduction of Bilinear and Stochastic Systems
- Computation of system balancing transformations and other applications of simultaneous diagonalization algorithms
- Block preconditioning of real-valued iterative algorithms for complex linear systems
- Direct methods and ADI‐preconditioned Krylov subspace methods for generalized Lyapunov equations
- Alternately linearized implicit iteration methods for the minimal nonnegative solutions of the nonsymmetric algebraic Riccati equations
- Robust and well-conditioned eigenstructure assignment via sylvester's equation
- LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares
- New model reduction scheme for bilinear systems
- On PMHSS Iteration Methods for Continuous Sylvester Equations
- Application of ADI Iterative Methods to the Restoration of Noisy Images
- Iterative Solution Methods
- Explicit Iterative Algorithms for Continuous Coupled Lyapunov Matrix Equations
- A Relaxed Gradient Based Algorithm for Solving Extended <scp>S</scp>ylvester‐Conjugate Matrix Equations
- Coupled Sylvester-type Matrix Equations and Block Diagonalization
- SSOR-like methods for saddle point problems
- Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
- Matrix Equation $XA + BX = C$
- Realization and Structure Theory of Bilinear Dynamical Systems
- A nonautonomous epidemic model with general incidence and isolation
- Numerical solution to generalized Lyapunov/Stein and rational Riccati equations in stochastic control
- An efficient method for solving a matrix least squares problem over a matrix inequality constraint
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