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Split map and idempotent separating congruence

✍ Scribed by V. M. Chandrasekaran; M. Loganathan


Book ID
105663109
Publisher
Springer-Verlag
Year
2005
Tongue
English
Weight
144 KB
Volume
18
Category
Article
ISSN
1598-5865

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Simultaneous solutions of Sylvester equa
✍ Sang-Gu Lee; Quoc-Phong Vu πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 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