Improved Cauchy radius for scalar and matrix polynomials
arXiv:1709.030405 citations
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For mathematicians and engineers analyzing polynomial root locations, this provides a refined theoretical bound, though the improvement is incremental.
The paper improves the Cauchy radius bound for zeros of scalar polynomials and eigenvalues of matrix polynomials by using polynomial multipliers, yielding tighter upper bounds.
We improve the Cauchy radius of both scalar and matrix polynomials, which is an upper bound on the moduli of the zeros and eigenvalues, respectively, by using appropriate polynomial multipliers.