A note on the numerical approximate solutions for generalized Sylvester matrix equations with applications
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摘要
In the present paper, we propose a Krylov subspace method for solving large and sparse generalized Sylvester matrix equations. The proposed method is an iterative projection method onto matrix Krylov subspaces. As a particular case, we show how to adapt the ILU and the SSOR preconditioners for solving large Sylvester matrix equations. Numerical examples and applications to some PDE’s will be given.
论文关键词:Linear matrix equation,Global GMRES,Matrix Krylov subspace,Preconditioning
论文评审过程:Available online 21 September 2008.
论文官网地址:https://doi.org/10.1016/j.amc.2008.09.022