PENYEMPURNAAN KEDUA METODE ITERASI JACOBI UNTUK MENYELESAIKAN PERMASALAHAN SISTEM PERSAMAAN LINEAR

Abstract

This article discusses an iterative method for solving a linear system of equations, which is called second refinement of generalized Jacobi method. This new method converges rapidly compared to the generalized of Jacobi and refinement of general- ized Jacobi method. Numerical experiments by solving 2D of the Poisson equation show that the efficiency of the second refinement of generalized Jacobi method. It is verified by checking the number of iterations, and spectral radius to see the rate of convergence.