Real root isolation problem is to compute a list of disjoint intervals, each containing a distinct real root and together containing all.
In this paper, we extend the pseudo-derivative sequences and Budan–Fourier theorem for multi- exponential polynomials to estimate the bounds and counts of all ...
Oct 3, 2024 · Real root isolation problem is to compute a list of disjoint intervals, each containing a distinct real root and together containing all.
Multi-threaded real root isolation on multi-core architectures. (Spine title: Real Root Isolation for Polynomial System Solvers). (Thesis format: Monograph).
Jun 4, 2019 · Given interval (a,b), is there an algorithm to output finitely many disjoint intervals, such that each contains exactly one positive root of f ...
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This paper revisits an algorithm isolating the real roots of a univariate polynomial using Descartes' rule of signs.
Feb 27, 2012 · The decision procedure is a quantifier-elimination process that depends on a general root isolation procedure for multivariate polynomials over ...
A new algorithm for real root isolation of polynomial equations based on hybrid computation is presented in this paper. Firstly, the approximate (complex) ...
Jun 28, 2016 · Plotting the function in Mathematica consistently gives me a root at zero and one > 0. I would like to formally prove this is indeed the case. I ...
This approach is used in the fastest algorithms today for computer computation of real roots of polynomials (see real-root isolation). Descartes himself ...