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On the solution of the fuzzy Sylvester matrix equation

✍ Scribed by Davod Khojasteh Salkuyeh

Publisher: Springer
Year: 2010
Tongue: English
Weight: 298 KB
Volume: 15
Category: Article
ISSN: 1432-7643
DOI: 10.1007/s00500-010-0637-4

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## Abstract We consider the Sylvester equation __AX__−__XB__+__C__=0 where the matrix __C__∈ℂ^__n__×__m__^ is of low rank and the spectra of __A__∈ℂ^__n__×__n__^ and __B__∈ℂ^__m__×__m__^ are separated by a line. We prove that the singular values of the solution X decay exponentially, that means for