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All Journal Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam
Alhumaira Oryza Sativa
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Mathematics

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METODE GAUSS-SEIDEL PREKONDISI UNTUK MENCARI SOLUSI SISTEM PERSAMAAN LINEAR Sativa, Alhumaira Oryza; Putra, Supriadi; ', Zulkarnain
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 2, No 1 (2015): Wisuda Februari 2015
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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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.
Co-Authors ', Zulkarnain Nasution, Ali Napiah