Title : New approaches for solving large Sylvester equations ( New approaches for solving large Sylvester equations )
Authors: - - , Faezeh Toutounian Mashhad ,
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Abstract
In this paper, we propose two new algorithms based on modified global Arnoldi algorithm for solving large Sylvester matrix equations AX + XB = C where A∈Rn×n, B∈Rs×s, X and C∈Rn×s. These algorithms are based on the global FOM and GMRES algorithms and we call them by Global FOM-Sylvester-Like (GFSL) and Global GMRES-Sylvester-Like (GGSL) algorithms, respectively. Some theoretical results and numerical examples are also given.
Keywords
Modified global Arnoldi; Sylvester equations; FOM; GMRES
@article{paperid:202380,
author = { -, - and Toutounian Mashhad, Faezeh},
title = {New approaches for solving large Sylvester equations},
journal = {Applied Mathematics and Computation},
year = {2006},
volume = {173},
number = {1},
month = {May},
issn = {0096-3003},
pages = {9--18},
numpages = {9},
keywords = {Modified global Arnoldi; Sylvester equations; FOM; GMRES},
}
%0 Journal Article
%T New approaches for solving large Sylvester equations
%A -, -
%A Toutounian Mashhad, Faezeh
%J Applied Mathematics and Computation
%@ 0096-3003
%D 2006
