On the location of eigenvalues of matrix polynomials

Công-Trình Lê, Thi-Hoa-Binh Du, Tran-Duc Nguyen

A number $\lambda \in \mathbb{C}$ is called an {\it eigenvalue} of the matrix polynomial $P(z)$ if there exists a nonzero vector $x\in {\mathbb{C}}^n$ such that $P(\lambda )x=0$. Note that each…