Nonlinear differential algorithm to compute all the zeros of a generic polynomial

DOI10.1063/1.4960821zbMath1348.65084arXiv1607.05081OpenAlexW3099292751WikidataQ56979190 ScholiaQ56979190MaRDI QIDQ2820929

Francesco Calogero

Publication date: 12 September 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.05081

zbMATH Keywords

zerosgeneric polynomialnonlinear differential algorithm

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Real polynomials: location of zeros (26C10) Numerical computation of roots of polynomial equations (65H04)

Related Items (4)

Zeros of entire functions and related systems of infinitely many nonlinearly coupled evolution equations ⋮ Identification of generic stable dynamical systems taking a nonlinear differential approach ⋮ Novel differential algorithm to evaluate all the zeros of any generic polynomial ⋮ Comment on “Nonlinear differential algorithm to compute all the zeros of a generic polynomial” [J. Math. Phys. 57, 083508 (2016)]

Cites Work

• New Solvable Variants of the Goldfish Many-Body Problem

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