IMPROVING PRECONDITIONED GAUSS-SEIDEL ITERATIVE METHOD FOR L-MATRICES

Authors

Keywords:

Gauss-Seidel method, L--matrix, iteration matrix, convergence, spectral radius

Abstract

The Gauss-Seidel is a well-known iterative method for solving the linear system Ax = b.  Convergence of this method is guaranteed for linear systems whose coefficient matrix  is strictly or irreducibly diagonally dominant, Hermitian positive definite and invertible H -matrix. In this current work, a preconditioned version of the Gauss-Seidel method is used to accelerate the convergence of this iterative method towards the solution of linear system  under mild conditions imposed on A . Convergence theorems on preconditioned Gauss-Seidel iterative method are advanced and proved. The superiority of Preconditioned Gauss-Seidel method is demonstrated by solving some numerical examples.

Dimensions

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Published

14-04-2020

How to Cite

IMPROVING PRECONDITIONED GAUSS-SEIDEL ITERATIVE METHOD FOR L-MATRICES. (2020). FUDMA JOURNAL OF SCIENCES, 4(1), 453-459. https://fjs.fudutsinma.edu.ng/index.php/fjs/article/view/67

Issue

Vol. 4 No. 1 (2020): FUDMA Journal of Sciences - Vol. 4 No. 1

Section

Research Articles
Copyright & Licensing

How to Cite

IMPROVING PRECONDITIONED GAUSS-SEIDEL ITERATIVE METHOD FOR L-MATRICES. (2020). FUDMA JOURNAL OF SCIENCES, 4(1), 453-459. https://fjs.fudutsinma.edu.ng/index.php/fjs/article/view/67

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