Large vector spaces of block-symmetric strong linearizations of matrix polynomials

@article{Bueno2015LargeVS,
  title={Large vector spaces of block-symmetric strong linearizations of matrix polynomials},
  author={M. Bueno and F. Dopico and S. Furtado and M. Rychnovsky},
  journal={Linear Algebra and its Applications},
  year={2015},
  volume={477},
  pages={165-210}
}
Abstract Given a matrix polynomial P ( λ ) = ∑ i = 0 k λ i A i of degree k , where A i are n × n matrices with entries in a field F , the development of linearizations of P ( λ ) that preserve whatever structure P ( λ ) might posses has been a very active area of research in the last decade. Most of the structure-preserving linearizations of P ( λ ) discovered so far are based on certain modifications of block-symmetric linearizations. The block-symmetric linearizations of P ( λ ) available in… Expand
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