The Role of the Fibonacci Sequence in the Isolation of the Real Roots of Polynomial Equations

A. G. Akritas and P. G. Bradford

A chapter in Applications of Fibonacci Numbers, 1990, pp 1-6 from Springer

Abstract: Abstract Isolation of the real roots of polynomials in ℤ[x] is the process of finding real, disjoint intervals each of which contains exactly one real root and every real root is contained in some interval. This process is of interest because, according to Fourier, it constitutes the first step involved in the computation of real roots, the second step being the approximation of these roots to any desired degree of accuracy.

Date: 1990
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DOI: 10.1007/978-94-009-1910-5_1

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