Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam
Vol 2, No 1 (2015): Wisuda Februari 2015

METODE GAUSS-SEIDEL PREKONDISI UNTUK MENCARI SOLUSI SISTEM PERSAMAAN LINEAR

Sativa, Alhumaira Oryza (Unknown)
Putra, Supriadi (Unknown)
', Zulkarnain (Unknown)



Article Info

Publish Date
09 Oct 2014

Abstract

This article discusses how to nd a solution of linear system of equations Ax = b, with A in the form of Z -matrix, using preconditioned Gauss-Seidel method. Pre-condition matrix used is the matrix proposed by J.H. Yun [Applied Mathematics Letters, 27: 207-215 (2012)]. Analytically it is shown that the spectral radius ofthe iteration matrix of the preconditioned Gauss-Seidel method is smaller than that of the standard Gauss-Seidel method. Furthermore, from the numerical experiment in solving a linear system of equation Ax = b, it is seen that the preconditionedGauss-Seidel method requires fewer iterations than standard Gauss-Seidel method.

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