Abstract
In this paper, a global quasi-minimal residual (QMR) method was presented for solving the Sylvester equations. Some properties were investigated with a new matrix product for the global QMR method. Numerical results with the global QMR and GMRES methods compared with the block GMRES method were given. The results show that the global QMR method is less time-consuming than the global GMRES (generalized minimal residual) and block GMRES methods in some cases.
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