LINEARIZATIONS OF SINGULAR MATRIX POLYNOMIALS AND THE RECOVERY OF MINIMAL INDICES

@article{Tern2009LINEARIZATIONSOS,
  title={LINEARIZATIONS OF SINGULAR MATRIX POLYNOMIALS AND THE RECOVERY OF MINIMAL INDICES},
  author={F. Ter{\'a}n and F. M. Dopico and D. S. Mackey},
  journal={Electronic Journal of Linear Algebra},
  year={2009},
  volume={18},
  pages={32}
}
A standard way of dealing with a regular matrix polynomial P (λ) is to convert it into an equivalent matrix pencil - a process known as linearization. Two vector spaces of pencils L1(P ) and L2(P ) that generalize the first and second companion forms have recently been introduced by Mackey, Mackey, Mehl and Mehrmann. Almost all of these pencils are linearizations for P (λ )w hen P is regular. The goal of this work is to show that most of the pencils in L1(P )a ndL2(P )a re stil l linearizations… Expand
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