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The spectrum of matrices depending on two idempotents

✍ Scribed by Xiaoji Liu; Julio Benítez


Book ID
108052665
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
240 KB
Volume
24
Category
Article
ISSN
0893-9659

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Simultaneous solutions of Sylvester equa
✍ Sang-Gu Lee; Quoc-Phong Vu 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 228 KB

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