Cauchy-like and Pellet-like results for polynomials
arXiv:1506.063202 citationsh-index: 13
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Provides theoretical tools for bounding polynomial roots, relevant to numerical analysis and control theory.
The paper derives new bounds for polynomial zeros by applying similarity transformations to the squared companion matrix and reformulating zeros as eigenvalues of a polynomial eigenvalue problem.
We obtain several Cauchy-like and Pellet-like results for the zeros of a general complex polynomial by considering similarity transformations of the squared companion matrix and the reformulation of the zeros of a scalar polynomial as the eigenvalues of a polynomial eigenvalue problem.