Note on the location of zeros of polynomials
Josep Rubi\'o-Masseg\'u
TL;DR
This paper presents new upper bounds for the zeros of complex polynomials, enhancing existing results and contributing to the understanding of polynomial zero locations.
Contribution
It introduces a comprehensive set of upper bounds that extend and complete previous research on polynomial zero localization.
Findings
New upper bounds for polynomial zeros
Bounds improve upon previous estimates
Complements existing zero location theories
Abstract
In this note, we provide a wide range of upper bounds for the moduli of the zeros of a complex polynomial. The obtained bounds complete a series of previous papers on the location of zeros of polynomials.
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Taxonomy
TopicsMathematical functions and polynomials · Polynomial and algebraic computation · Iterative Methods for Nonlinear Equations