Efficient isolation of polynomial's real roots

Efficient isolation of polynomial's real roots - ScienceDirect.com

This paper revisits an algorithm isolating the real roots of a univariate polynomial using Descartes' rule of signs.

Efficient Isolation of a Polynomial Real Roots - Hal-Inria

The core of this article deals with a well known method for isolating the real roots of univariate polynomials currently(wrongly - see[1])named ...

Efficient isolation of polynomial's real roots - NASA/ADS

Abstract. This paper revisits an algorithm isolating the real roots of a univariate polynomial using Descartes' rule of signs. It follows work of Vincent, ...

Efficient isolation of polynomial's real roots - Hal-Inria

This paper revisits an algorithm isolating the real roots of a univariate polynomial using Descartes' rule of signs. It follows work of Vincent, Uspensky, ...

Most efficient method for quintic real root isolation?

Making a rough sketch, three range intervals to find number of real roots labelled : ... to decide how many real roots have to be iterated.

Most efficient method to solve quintic real roots?

The easiest approach, if it works, is to use the Rational Root Theorem to find factors of the original quintic, reducing it to a quartic, ...

Efficient isolation of polynomial's real roots - ACM Digital Library

This paper revisits an algorithm isolating the real roots of a univariate polynomial using Descartes' rule of signs.

Real-root isolation - Wikipedia

In mathematics, and, more specifically in numerical analysis and computer algebra, real-root isolation of a polynomial consist of producing disjoint ...

[1209.3555] logcf: An Efficient Tool for Real Root Isolation - arXiv

Abstract:This paper revisits an algorithm for isolating real roots of univariate polynomials based on continued fractions. It follows the ...

Efficient Isolation of a Polynomial Real Roots - INRIA Nancy

This paper gives new results for the isolation of real roots of a univariate polynomial using Descartes' rule of signs, following work of Vincent, Uspensky, ...

EFFICIENT POLYNOMIAL ROOT ISOLATION APPLIED TO ...

While exact computation libraries exist, current libraries run too slowly to be useful for working with real problems in real time. For this reason, most ...

Efficient Isolation of a Polynomial Real Roots | Request PDF

... Thus, after finding a common denominator, we may assume 29 these polynomials have integer coefficients. Then, we may use a real root isolation algorithm ...

[1704.06979] Efficiently Computing Real Roots of Sparse Polynomials

It is assumed that arbitrarily good approximations of the non-zero coefficients are given by means of a coefficient oracle. ... In addition, it is ...

Isolating all the real roots of a mixed trigonometric-polynomial

Real root isolation has been considered as a symbolic way to compute the real roots of a univariate polynomial or function. Real root isolation for polynomials ...

A Simple But Exact and Efficient Algorithm for Complex Root Isolation

For the rest of this paper, we fix a square-free polynomial f ∈ C[z] of degree n. For m ∈ C and r > a real value, we denote Dr(m) the disk of ...

Real Root Isolation of Regular Chains

In [15, 7], the authors present algo- rithms for isolating the real roots of univariate polynomials with real algebraic ... Efficient isolation of polynomial real ...

An Algorithm of Real Root Isolation for Polynomial Systems with ...

By combining Wu's method, polynomial real root isolation and the evaluation of maximal and minimal polynomials, an algorithm for real root isolation of ...

A New Method for Real Root Isolation of Uni- variate Polynomials

Suppose B is the root bound of f(x), a univariate polynomial with integral coefficients, and we have an effective rule M to determine the number of roots of f(x) ...

(PDF) Real Root Isolation of Polynomial Equations Based on Hybrid ...

A new algorithm for real root isolation of polynomial equations based on hybrid computation is presented in this paper. Firstly, the approximate (complex) ...

Logcf: An Efficient Tool for Real Root Isolation

Computing upper bounds of the positive real roots of some polynomials is a key step of those real root isolation algorithms based on ...