Avant-Garde Matrix Splitting for the Solution of Sparse Non-symmetric Linear Systems.

Abstract--A non-symmetric matrix splitting is presented for the solution of certain sparse linear systems. The author reports the comparison and the convergence performance of the previous and the contemporary methods and includes explicit comments. It is studied that some recent methods may work efficiently with a symmetric matrix but show insufficiencies like numerical instability and non-scaling invariant with non-symmetric matrix. The proposed matrix splitting can overcome these deficiencies.