Rashidi Narges - Master student of Tarbait Modares University, Tehran, Iran

In this paper we introduce two new iterations methods based on new splitting coefficient matrix forpreconditioners introduced by Tarazaga and Cuellar.we present two iterative method with diagonal precondition,and study the convergence of the methods for solving linear system whose coefficient matrix is positive definitematrices.

Linear systems, numerical methods, Iterativemethods, Preconditioners, Positive definite matrix