On the numerical solution of generalized Sylvester matrix equations

Document Type : Research Paper

Author

iran

Abstract

‎The global FOM and GMRES algorithms are among the effective‎
‎methods to solve Sylvester matrix equations‎. ‎In this paper‎, ‎we‎
‎study these algorithms in the case that the coefficient matrices‎
‎are real symmetric (real symmetric positive definite) and extract‎
‎two CG-type algorithms for solving generalized Sylvester matrix‎
‎equations‎. ‎The proposed methods are iterative projection methods‎
‎onto matrix Krylov subspaces‎. ‎Numerical examples are presented‎.

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Main Subjects