New bounds for roots of polynomials based on Fiedler companion matrices

@article{Tern2014NewBF,
  title={New bounds for roots of polynomials based on Fiedler companion matrices},
  author={F. Ter{\'a}n and F. M. Dopico and J. P{\'e}rez},
  journal={Linear Algebra and its Applications},
  year={2014},
  volume={451},
  pages={197-230}
}
Abstract Several matrix norms of the classical Frobenius companion matrices of a monic polynomial p ( z ) have been used in the literature to obtain simple lower and upper bounds on the absolute values of the roots λ of p ( z ) . Recently, M. Fiedler (2003) [9] has introduced a new family of companion matrices of p ( z ) that has received considerable attention and it is natural to investigate if matrix norms of Fiedler companion matrices may be used to obtain new and sharper lower and upper… Expand
9 Citations
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