Vector Spaces of Linearizations for Matrix Polynomials

@article{Mackey2006VectorSO,
  title={Vector Spaces of Linearizations for Matrix Polynomials},
  author={D. S. Mackey and N. Mackey and C. Mehl and V. Mehrmann},
  journal={SIAM J. Matrix Anal. Appl.},
  year={2006},
  volume={28},
  pages={971-1004}
}
The classical approach to investigating polynomial eigenvalue problems is linearization, where the polynomial is converted into a larger matrix pencil with the same eigenvalues. For any polynomial there are infinitely many linearizations with widely varying properties, but in practice the companion forms are typically used. However, these companion forms are not always entirely satisfactory, and linearizations with special properties may sometimes be required. Given a matrix polynomial $P… Expand
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