On the existence of a common solution X to the matrix equations AiXBj=Cij, (i,j)∈Γ

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