Bounds for the maximum modulus of polynomial roots with nearly optimal worst-case overestimation

Published 25 Nov 2024 in math.NA and cs.NA | (2411.16385v1)

Abstract: Many upper bounds for the moduli of polynomial roots have been proposed but reportedly assessed on selected examples or restricted classes only. Regarding quality measured in terms of worst-case relative overestimation of the maximum root-modulus we establish a simple, nearly optimal result.

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Authors (1)

Prashant Batra

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