A. Melman
Abstract
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We show how $\ell$-ifications, which are companion forms of matrix polynomials, namely, lower order matrix polynomials with the same eigenvalues as a given complex square matrix polynomial, can be used in combination with other recent results to produce eigenvalue bounds.
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We show how $\ell$-ifications, which are companion forms of matrix polynomials, namely, lower order matrix polynomials with the same eigenvalues as a given complex square matrix polynomial, can be used in combination with other recent results to produce eigenvalue bounds.
Key concepts: Eigenvalues and eigenvectors, Mathematics, Matrix polynomial, Companion matrix, Polynomial matrix, Characteristic polynomial, Square matrix, Polynomial