Gauss-Sidel and Successive Over Relaxation Iterative Methods for Solving System of Fuzzy Sylvester Equations

Document Type : Research Paper

Authors

1 Department of Mathematics, Shahid Bahonar University of Kerman,

2 Department of Mathematics, Shahid Bahonar University of Kerman

Abstract

In this paper, we present Gauss-Sidel and successive over relaxation (SOR) iterative methods for finding the approximate solution system of fuzzy Sylvester equations (SFSE), AX + XB = C, where A and B are two m*m crisp matrices, C is an m*m fuzzy matrix and X is an m*m unknown matrix. Finally, the proposed iterative methods are illustrated by solving one example.

Keywords