Developing CRS iterative methods for periodic Sylvester matrix equation
type: Item
instance of: scholarly article
title: Developing CRS iterative methods for periodic Sylvester matrix equation
zbMATH Open document ID: 1458.65045
author: Linjie Chen
author: Changfeng Ma
published in: Advances in Difference Equations
publication date: 2019-03-21T00:00:00Z
Mathematics Subject Classification ID: 65F45
Mathematics Subject Classification ID: 15A24
zbMATH DE Number: 7040256
zbMATH Keywords: conjugate residual squared
zbMATH Keywords: iterative method
zbMATH Keywords: periodic Sylvester matrix equation
zbMATH Keywords: Kronecker product
zbMATH Keywords: vectorization operator
MaRDI profile type: Publication
full work available at URL: s13662-019-2036-1
OpenAlex ID: W2929476923
cites work: Periodic Lyapunov equations: Some applications and new algorithms
cites work: Projected Generalized Discrete-Time Periodic Lyapunov Equations and Balanced Realization of Periodic Descriptor Systems
cites work: Stability of periodic steady-state solutions to a non-isentropic Euler-Maxwell system
cites work: Orbital stability of periodic traveling wave solutions to the generalized Zakharov equations
cites work: The time-periodic solutions to the modified Zakharov equations with a quantum correction
cites work: Bifurcation of periodic orbits by perturbing high-dimensional piecewise smooth integrable systems
cites work: Existence of nontrivial periodic solutions for a nonlinear second order periodic boundary value problem
cites work: Existence and multiplicity results for nonlinear periodic boundary value problems
cites work: On the Hermitian positive definite solutions of nonlinear matrix equation \(X^s + \sum_{i = 1}^m A_i^\ast X^{- t_i} A_i = Q\)
cites work: A new method for the bisymmetric minimum norm solution of the consistent matrix equations \(A_1XB_1 = C_1\), \(A_2XB_2 = C_2\)
cites work: Low-rank iterative methods for projected generalized Lyapunov equations
cites work: Periodic systems. Filtering and control
cites work: Matrix iterative methods for solving the Sylvester-transpose and periodic Sylvester matrix equations
cites work: Matrix form of Biconjugate Residual Algorithm to Solve the Discrete‐Time Periodic Sylvester Matrix Equations
cites work: An iterative algorithm for periodic Sylvester matrix equations
cites work: Developing BiCOR and CORS methods for coupled Sylvester-transpose and periodic Sylvester matrix equations
cites work: Solving the general Sylvester discrete-time periodic matrix equations via the gradient based iterative method
cites work: GRADIENT BASED ITERATIVE ALGORITHM TO SOLVE GENERAL COUPLED DISCRETE-TIME PERIODIC MATRIX EQUATIONS OVER GENERALIZED REFLEXIVE MATRICES
cites work: A finite iterative method for solving the general coupled discrete-time periodic matrix equations
cites work: Developing CGNE algorithm for the periodic discrete-time generalized coupled Sylvester matrix equations
cites work: Finite iterative solutions to periodic Sylvester matrix equations
cites work: A parametric poles assignment algorithm for second-order linear periodic systems
cites work: Robust stabilization based on periodic observers for LDP systems
cites work: On the periodic Sylvester equations and their applications in periodic Luenberger observers design
cites work: Conjugate residual squared method and its improvement for non-symmetric linear systems
cites work: A matrix CRS iterative method for solving a class of coupled Sylvester-transpose matrix equations
cites work: An improved generalized conjugate residual squared algorithm suitable for distributed parallel computing
cites work: An extension of the conjugate residual method to nonsymmetric linear systems
cites work: Parallel iterative methods for sparse linear systems
DOI: 10.1186/S13662-019-2036-1
Recommended article: An iterative algorithm for periodic Sylvester matrix equations
Recommended article: A matrix CRS iterative method for solving a class of coupled Sylvester-transpose matrix equations
Recommended article: Matrix iterative methods for solving the Sylvester-transpose and periodic Sylvester matrix equations
Recommended article: An iterative algorithm for generalized periodic multiple coupled Sylvester matrix equations
Recommended article: Finite iterative algorithm for the symmetric periodic least squares solutions of a class of periodic Sylvester matrix equations
Recommended article: Conjugate gradient-based iterative algorithm for solving generalized periodic coupled Sylvester matrix equations
Recommended article: A Numerical Approach To Generalized Periodic Sylvester Matrix Equation
Recommended article: The conjugate gradient methods for solving the generalized periodic Sylvester matrix equations
Recommended article: A finite iterative algorithm for the general discrete-time periodic Sylvester matrix equations
Recommended article: An finite iterative algorithm for sloving periodic Sylvester bimatrix equations
description: scientific article; zbMATH DE number 7040256