Restarted global FOM and GMRES algorithms for the Stein-like matrix equation \(X + \mathcal{M}(X) = C\)
type: Item
instance of: scholarly article
title: Restarted global FOM and GMRES algorithms for the Stein-like matrix equation \(X + \mathcal{M}(X) = C\)
zbMATH Open document ID: 1429.65088
author: Sheng-Kun Li
author: Ting-Zhu Huang
published in: Applied Mathematics and Computation
publication date: 2019-11-26T00:00:00Z
Mathematics Subject Classification ID: 65F45
Mathematics Subject Classification ID: 15A24
zbMATH DE Number: 7136802
zbMATH Keywords: Stein-like matrix equation
zbMATH Keywords: Krylov subspace
zbMATH Keywords: global FOM
zbMATH Keywords: global GMRES
MaRDI profile type: Publication
full work available at URL: j.amc.2018.11.058
OpenAlex ID: W2903862734
cites work: Approximation of Large-Scale Dynamical Systems
cites work: On Stein's equation, Vandermonde matrices and Fisher's information matrix of time series processes. I: The autoregressive moving average process
cites work: On the solution of Stein's equation and Fisher's information matrix of an ARMAX process
cites work: Solving the Stein Equation in compound poisson approximation
cites work: Q3057243
cites work: Computational Methods for Linear Matrix Equations
cites work: Q4850020
cites work: The matrix equation \(X-AXB=C\) and an analogue of Roth's theorem
cites work: Factored forms for solutions of \(AX-XB=C\) and \(X-AXB=C\) in companion matrices
cites work: On solving the Lyapunov and Stein equations for a companion matrix
cites work: A note on the \(\top\)-Stein matrix equation
cites work: The matrix equation \(X + AX^TB = C\): Conditions for unique solvability and a numerical algorithm for its solution
cites work: On solutions of the matrix equations \(X\)-\(AXB\)=\(C\) and \(A{\overline{X}}B\)=\(C\)
cites work: On matrix equations \(X - AXF = C\) and \(X - A\overline{X}F = C\)
cites work: Toward solution of matrix equation \(X=Af(X)B+C\)
cites work: A new projection method for solving large Sylvester equations
cites work: Krylov subspace methods for the generalized Sylvester equation
cites work: Low rank approximate solutions to large Sylvester matrix equations
cites work: A note on the numerical approximate solutions for generalized Sylvester matrix equations with applications
cites work: On the global Krylov subspace methods for solving general coupled matrix equations
cites work: Theoretical results on the global GMRES method for solving generalized Sylvester matrix equations
cites work: LSQR iterative method for generalized coupled Sylvester matrix equations
cites work: On Smith-type iterative algorithms for the Stein matrix equation
cites work: Finite iterative solutions to a class of complex matrix equations with conjugate and transpose of the unknowns
cites work: Iterative algorithms for solving a class of complex conjugate and transpose matrix equations
cites work: Parallel iterative methods for sparse linear systems
cites work: Gradient based iterative algorithms for solving a class of matrix equations
cites work: Practical Use of Some Krylov Subspace Methods for Solving Indefinite and Nonsymmetric Linear Systems
cites work: GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
cites work: Global FOM and GMRES algorithms for matrix equations
cites work: Restarted full orthogonalization method for shifted linear systems
cites work: Restarted GMRES for Shifted Linear Systems
cites work: A simpler GMRES and its adaptive variant for shifted linear systems
cites work: Restarted weighted full orthogonalization method for shifted linear systems
cites work: Efficient preconditioner updates for unsymmetric shifted linear systems
cites work: The matrix iterative methods for solving a class of generalized coupled Sylvester-conjugate linear matrix equations
cites work: The MGPBiCG method for solving the generalized coupled Sylvester-conjugate matrix equations
cites work: Convergence properties of some block Krylov subspace methods for multiple linear systems
DOI: 10.1016/J.AMC.2018.11.058
description: scientific article; zbMATH DE number 7136802