TY - JOUR ID - 485 TI - On the numerical solution of generalized Sylvester matrix equations JO - Bulletin of the Iranian Mathematical Society JA - BIMS LA - en SN - 1017-060X AU - Kaabi, Amer AD - iran Y1 - 2014 PY - 2014 VL - 40 IS - 1 SP - 101 EP - 113 KW - Generalized Sylvester matrix equations KW - Matrix Krylove subspace KW - Global gmres algorithm DO - N2 - ‎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. UR - http://bims.iranjournals.ir/article_485.html L1 - http://bims.iranjournals.ir/article_485_1ba2c57bb65ad0afe866e7641b82604c.pdf ER -