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All Journal Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam
Sandra Roza
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Mathematics

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PENYELESAIAN SISTEM PERSAMAAN LINEAR DENGAN GENERALISASI METODE JACOBI Sandra Roza; M. Natsir; Asli Sirait
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 1, No 2 (2014): Wisuda Oktober 2014
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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Abstract

Jacobi's method is an iterative method to solve a system of linear equations Ax = b.  If A is a strictly diagonally dominant matrix, Jacobi's method always converges to a solution Ax = b. In this paper,we develop the generalized Jacobi'smethod; by changing, one of the splitting matrices has to be in the form of a bandage diagonal matrix. By assumption that A is a strictly diagonally dominant matrix, we show that the generalized Jacobi's method is always convergent to a solution Ax = b.
Co-Authors Asli Sirait M. Natsir