id: 06035779
dt: j
an: 06035779
au: Salkuyeh, Davod Khojasteh
ti: On the solution of the fuzzy Sylvester matrix equation.
so: Soft Comput. 15, No. 5, 953-961 (2011).
py: 2011
pu: Springer-Verlag, Berlin
la: EN
cc: 
ut: $M$-matrix; fuzzy Sylvester matrix equation; accelerated over-relaxation
    method; numerical experiments
ci: 
li: doi:10.1007/s00500-010-0637-4
ab: Summary: We consider the fuzzy Sylvester matrix equation $AX+XB=C$, where
    $A\in {\mathbb{R}}^{n \times n}$ and $B\in {\mathbb{R}}^{m \times m}$
    are crisp M-matrices, $C$ is an $n\times m$ fuzzy matrix and $X$ is
    unknown. We first transform this system to an $(mn)\times (mn)$ 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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