@article {
author = {Panjeh Ali Beik, F.},
title = {Theoretical results on the global GMRES method for solving generalized Sylvester matrix equations},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {40},
number = {5},
pages = {1097-1117},
year = {2014},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {The global generalized minimum residual (Gl-GMRES) method is examined for solving the generalized Sylvester matrix equation \[\sum\limits_{i = 1}^q {A_i } XB_i = C.\] Some new theoretical results are elaborated for the proposed method by employing the Schur complement. These results can be exploited to establish new convergence properties of the Gl-GMRES method for solving general (coupled) linear matrix equations. In addition, the Gl-GMRES method for solving the generalized Sylvester-transpose matrix equation is briefly studied. Finally, some numerical experiments are presented to illustrate the efficiently of the Gl-GMRES method for solving the general linear matrix equations.},
keywords = {Linear matrix equation,Krylov subspace,global GMRES,Schur complement},
url = {http://bims.iranjournals.ir/article_555.html},
eprint = {http://bims.iranjournals.ir/article_555_436d6ad5ed75e3a57eae6a19e45899b6.pdf}
}