CG-type algorithms to solve symmetric matrix equations

The global FOM and GMRES are among the effective algorithms to solve linear system of equations with multiple right-hand sides. In this paper, we study these algorithms in the case that the coefficient matrix is symmetric and extract two CGtype algorithms for solving symmetric linear systems of equations with multiple right– hand sides. Then, we compare the numerical performance of the new algorithms with some available methods. Numerical experiments are done on some test matrices from Harwell-Boeing collection. AMS Subject Classification : 65F10.