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All Journal Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam
Juanita Adrika
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Mathematics

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METODE GAUSS-SEIDEL PREKONDISI DENGAN MENGGUNAKAN EKSPANSI NEUMANN Adrika, Juanita; ', Syamsudhuha; Karma, Asmara
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

We discuss a preconditioned Gauss-Seidel method to solve a system of linear equation Ax = b by A which is a strictly diagonally dominant Z-matrix. Preconditioning matrix to be used is P = (I +U) −1 , where I is an identity matrix and U is a strictly upper triangular matrix. Using Neumann’s expansion to approximate P, we showthat the preconditioning matrix is equivalent to an existing preconditioning matrix of the form P = (I + βU). Numerical computations show that the proposed preconditionedGauss-Seidel method is better than the standard Gauss-Seidel method in solving a system of linear equation Ax = b.
Co-Authors Asmara Karma Cecep Kusmana