Global quasi-minimal residual method for the Sylvester equations
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.
global Krylov subspaceSylvester equationsglobal QMR method
汪勇、顾桂定
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Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China
Department of Applied Mathematics, Shanghai University of Finance and Economics, Shanghai 200433, P. R. China
global Krylov subspace Sylvester equations global QMR method
国家自然科学基金Science and Technology Developing Foundation of University in Shanghai, China
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