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Chaotic Root-Finding for a Small Class of Polynomials

Max Little·Daniel Heesch
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Abstract

In this paper we present a new closed-form solution to a chaotic difference equation, y(n+1) = a2 y(n)^2 + a1 y(n) + a0 with coefficient a0 = (a1 - 4)(a1 + 2) / (4 a2) and using this solution, show how corresponding exact roots to a special set of related polynomials of order 2^p, p in the naturals, with two independent parameters can be generated, for any p.

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Max Little, Daniel Heesch. 2004-07-17. Chaotic Root-Finding for a Small Class of Polynomials. https://doi.org/10.1080/10236190412331285351

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