2016Mathematics of ComputationOpen access

Eigenvalue bounds for matrix polynomials in generalized bases

A. Melman

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Abstract

We derive inclusion regions for the eigenvalues of matrix polynomials expressed in a general polynomial basis, which can lead to significantly better results than traditional bounds. We present several applications to engineering problems.

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What this paper is about

We derive inclusion regions for the eigenvalues of matrix polynomials expressed in a general polynomial basis, which can lead to significantly better results than traditional bounds. We present several applications to engineering problems.

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Available abstract

We derive inclusion regions for the eigenvalues of matrix polynomials expressed in a general polynomial basis, which can lead to significantly better results than traditional bounds. We present several applications to engineering problems.

Key concepts: Eigenvalues and eigenvectors, Polynomial matrix, Mathematics, Matrix polynomial, Matrix (chemical analysis), Polynomial, Basis (linear algebra), Combinatorics

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