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The minimal polynomial of a matrix ∗

✍ Scribed by Liping, Huang

Book ID
121747198
Publisher
Taylor and Francis Group
Year
1998
Tongue
English
Weight
335 KB
Volume
45
Category
Article
ISSN
0308-1087

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On the uniqueness of the minimal solutio
On the uniqueness of the minimal solution to the matrix polynomial equation A(λ)X(λ)+Y(λ)B(λ)=C(λ)
✍ J. Feinstein; Y. Bar-ness 📂 Article 📅 1980 🏛 Elsevier Science 🌐 English ⚖ 251 KB

## The uniqueness of the minimal solution of the matrix equation A(A)X(A)+ Y(A)B(h) = C(A) is discussed in this paper. It is proved that Bamett's condition for uniqueness can be obtained when only A(A) or B(A) (not necessarily both) is regular. Furthermore, it is shown that if such a minimal soluti