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On solutions of generalized Sylvester equation in polynomial matrices

โœ Scribed by Chen, Sheng; Tian, Yunbo


Book ID
126694676
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
471 KB
Volume
351
Category
Article
ISSN
0016-0032

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Simultaneous solutions of Sylvester equa
โœ Sang-Gu Lee; Quoc-Phong Vu ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 228 KB

We investigate simultaneous solutions of the matrix Sylvester tuples of commuting matrices of order m ร— m and p ร— p, respectively. We show that the matrix Sylvester equations have a unique solution X for every compatible k-tuple of m ร— p matrices {C 1 , . . . , C k } if and only if the joint spectr