Spectral equivalence of matrix polynomials and the index sum theorem

@article{Tern2014SpectralEO,
  title={Spectral equivalence of matrix polynomials and the index sum theorem},
  author={F. Ter{\'a}n and F. Dopico and D. S. Mackey},
  journal={Linear Algebra and its Applications},
  year={2014},
  volume={459},
  pages={264-333}
}
Abstract The concept of linearization is fundamental for theory, applications, and spectral computations related to matrix polynomials. However, recent research on several important classes of structured matrix polynomials arising in applications has revealed that the strategy of using linearizations to develop structure-preserving numerical algorithms that compute the eigenvalues of structured matrix polynomials can be too restrictive, because some structured polynomials do not have any… Expand
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