An iterative method for solving the continuous sylvester equation by emphasizing on the skew-hermitian parts of the coefficient matrices

DOI10.1080/00207160.2015.1120863zbMath1365.65117OpenAlexW2237786912MaRDI QIDQ5737886

Faezeh Toutounian, Mohammad Khorsand Zak

Publication date: 30 May 2017

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2015.1120863

zbMATH Keywords

convergencenumerical examplepreconditioningKrylov subspace methodsSylvester equationconjugate gradientHermitian and skew-Hermitian splittingnested iterationsnormal equation

Mathematics Subject Classification ID

Related Items (6)

Shift-splitting iteration methods for a class of large sparse linear matrix equations ⋮ Shift-Splitting Iteration Method and Its Variants for Solving Continuous Sylvester Equations ⋮ Unnamed Item ⋮ An finite iterative algorithm for sloving periodic Sylvester bimatrix equations ⋮ Preconditioned HSS iteration method and its non-alternating variant for continuous Sylvester equations ⋮ Golub-Kahan bidiagonalization for ill-conditioned tensor equations with applications

Cites Work

• Unnamed Item
• Nested splitting conjugate gradient method for matrix equation \(AXB=C\) and preconditioning
• A class of nested iteration schemes for linear systems with a coefficient matrix with a dominant positive definite symmetric part
• Product-type skew-Hermitian triangular splitting iteration methods for strongly non-Hermitian positive definite linear systems
• On the ADI method for Sylvester equations
• Krylov-subspace methods for the Sylvester equation
• Skew-Hermitian triangular splitting iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermitian parts
• Global FOM and GMRES algorithms for matrix equations
• A preconditioned nested splitting conjugate gradient iterative method for the large sparse generalized Sylvester equation
• Sylvester Tikhonov-regularization methods in image restoration
• On inexact Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems
• Convergence conditions for splitting iteration methods for non-Hermitian linear systems
• Splitting iteration methods for non-Hermitian positive definite systems of linear equations
• New approaches for solving large Sylvester equations
• A Hessenberg-Schur method for the problem AX + XB= C
• A preconditioned conjugate gradient method for ax + xb = c
• Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
• Application of ADI Iterative Methods to the Restoration of Noisy Images
• On the preconditioning of matrices with skew-symmetric splittings
• Sufficient conditions for the convergent splittings of non-Hermitian positive definite matrices
• Block Krylov subspace methods for solving large Sylvester equations

This page was built for publication: An iterative method for solving the continuous sylvester equation by emphasizing on the skew-hermitian parts of the coefficient matrices