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On the location of eigenvalues of matrix polynomials

On the location of eigenvalues of matrix polynomials

A number λ ∈ C is called an eigenvalue of the matrix polynomial P(z) if there exists a nonzero vector x ∈ C n such that P(λ )x = 0 .Note that each finite eigenvalue of P(z) is a zero of the characteristic polynomial det(P(z)) .In this paper we establish …