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

Salary Pour Sharif Abad, Fatemeh; Rivaz, Azim

doi:10.22103/jmmrc.2014.1541

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

Document Type : Research Paper

Authors

Fatemeh Salary Pour Sharif Abad ¹

Azim Rivaz ²

¹ Department of Mathematics, Shahid Bahonar University of Kerman,

² Department of Mathematics, Shahid Bahonar University of Kerman

10.22103/jmmrc.2014.1541

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

KeyWords:Gauss-Sidel method

successive over relaxation method

System of fuzzy Sylvester equations