Simultaneous solutions of Sylvester equa
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Sang-Gu Lee; Quoc-Phong Vu
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Article
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2011
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Elsevier Science
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English
β 228 KB
We investigate simultaneous solutions of the matrix Sylvester tuples of commuting matrices of order m Γ m and p Γ p, respectively. We show that the matrix Sylvester equations have a unique solution X for every compatible k-tuple of m Γ p matrices {C 1 , . . . , C k } if and only if the joint spectr