On the solution of the fuzzy Sylvester matrix equation |
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Authors: | Davod Khojasteh Salkuyeh |
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Affiliation: | (1) Department of Mathematics, University of Mohaghegh Ardabili, P.O. Box 179, Ardabil, Iran |
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Abstract: | In this paper, we consider the fuzzy Sylvester matrix equation AX+XB=C,AX+XB=C, where
A ? \mathbbRn ×nA\in {\mathbb{R}}^{n \times n} and
B ? \mathbbRm ×mB\in {\mathbb{R}}^{m \times m} are crisp M-matrices, C is an n×mn\times m fuzzy matrix and X is unknown. We first transform this system to an (mn)×(mn)(mn)\times (mn) fuzzy system of linear equations. Then, we investigate the existence and uniqueness of a fuzzy solution to this system. We
use the accelerated over-relaxation method to compute an approximate solution to this system. Some numerical experiments are
given to illustrate the theoretical results. |
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Keywords: | |
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