A note on solving the fuzzy Sylvester matrix equation

作者：Sadeghi A^*; Ismail Ahmad I M; Ahmad A; Abbasnejad M E

来源：Journal of Computational Analysis and Applications, 2013, 15(1): 10-22.

• Fuzzy Sylvester matrix equation
• Fuzzy linear system
• Iterative method

In this work, we present theoretical analysis of the solution of Fuzzy Sylvester Matrix Equation (FSME) in the form A (X) over tilde + (X) over tildeB = (C) over tilde. The necessary and sufficient conditions for the existence of fuzzy solutions are proposed and some operators to finding the solution of FSME are exploited. Furthermore, an iterative scheme which can solve two n x n system instead one 2n x 2n system is presented to solving extended fuzzy linear system. Several numerical examples are performed to illustrate developed theory.

• 出版日期2013-1