Iterative Methods for Solving System of Fuzzy Sylvester Equations

Abstract

Abstract:In this paper, we present Jacobi and Adomian decomposition iterative methods for finding the approximate solution of 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. It is shown that for a SFSE the Adomian decomposition method is equivalent to the Jacobi iterative method. Finally, the proposed iterative methods are illustrated by solving one example.