Polynomial eigenvalue bounds from companion forms

Abstract

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.

15 pages

Cited by in corpus (1)

• The conditioning of block Kronecker $\ell$-ifications of matrix polynomials