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Finite iterative solutions to coupled Sylvester-conjugate matrix equations

โœ Scribed by Ai-Guo Wu; Bin Li; Ying Zhang; Guang-Ren Duan


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
341 KB
Volume
35
Category
Article
ISSN
0307-904X

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## Abstract We consider the Sylvester equation __AX__โˆ’__XB__+__C__=0 where the matrix __C__โˆˆโ„‚^__n__ร—__m__^ is of low rank and the spectra of __A__โˆˆโ„‚^__n__ร—__n__^ and __B__โˆˆโ„‚^__m__ร—__m__^ are separated by a line. We prove that the singular values of the solution X decay exponentially, that means for

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