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The BGMRES Method for Generalized Sylvester Matrix Equation AXB − X = C and Preconditioning
Abstract:In this paper, we present the block generalized minimal residual (BGMRES) method in order to solve the generalized Sylvester matrix equation. However, this method may not be converged in some problems. We construct a polynomial preconditioner based on BGMRES which shows why polynomial preconditioner is superior to some block solvers. Finally, numerical experiments report the effectiveness of this method.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1131245Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 498
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