Optimized Cramer's rule in WZ factorization and applications

Abstract

In this paper, WZ factorization is optimized with a proposed Cramer's rule and compared with classical Cramer's rule to solve the linear systems of the factorization technique. The matrix norms and performance time of WZ factorization together with LU factorization are analyzed using sparse matrices on MATLAB via AMD and Intel processor to deduce that the optimized Cramer's rule in the factorization algorithm yields accurate results than LU factorization and conventional WZ factorization. In all, the matrix group and Schur complement for every Z(system) (2 x 2 block triangular matrices from Z-matrix) are established.