Polynomial eigenvalue bounds from companion forms
arXiv:1701.039941 citationsh-index: 13
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Provides new eigenvalue bounds for matrix polynomials, which is a specific mathematical problem.
The paper derives eigenvalue bounds for matrix polynomials by combining ℓ-ifications (companion forms) with other recent results.
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.