• Efficient real root approximation🔍
• Efficient Real Root Approximation🔍
• Root|finding algorithm🔍
• Most efficient root finding algorithm for a monotonic function🔍
• Efficiently Computing Real Roots of Sparse Polynomials🔍
• Efficient method of taking out square roots? 🔍
• Efficient real root approximation.🔍
• An Efficient Algorithm for the Complex Roots Problem🔍

Efficient real root approximation - ACM Digital Library

We consider the problem of approximating all real roots of a square-free polynomial f. Given isolating intervals, our algorithm refines each of them to a ...

Efficient Real Root Approximation - Institute of Geometry

We consider the problem of approximating all real roots of a square- free polynomial f. Given isolating intervals, our algorithm refines each of them to a width ...

(PDF) Efficient Real Root Approximation - ResearchGate

PDF | We consider the problem of approximating all real roots of a square-free polynomial f. Given isolating intervals, our algorithm refines each of.

Efficient real root approximation | OpenReview

We consider the problem of approximating all real roots of a square-free polynomial f. Given isolating intervals, our algorithm refines each of them to a ...

Root-finding algorithm - Wikipedia

The latter, approximations with error bounds, are equivalent to small isolating intervals for real roots or disks for complex roots. Solving an equation f(x) = ...

Most efficient root finding algorithm for a monotonic function

If you want faster than that, you need a variant of Dekker's fzeroin with hyperbolic or inverse quadratic approximation. The latter fleshed out ...

Efficiently Computing Real Roots of Sparse Polynomials - Gorav Jindal

We propose an efficient algorithm to compute the real roots of a sparse polynomial f ∈ R[x] having k non-zero real-valued coef- ficients. It is assumed ...

Efficient method of taking out square roots? : r/math - Reddit

My first thought for an efficient sqrt algorithm is honestly just newtons method, possibly with either a lookup table for a better starting value or some other ...

Efficient real root approximation. - dblp

Michael Kerber, Michael Sagraloff: Efficient real root approximation. ISSAC 2011: 209-216. manage site settings. To protect your privacy, all features that ...

An Efficient Algorithm for the Complex Roots Problem

We denote by η(z) $ 0 the minimum integer with the property that 2η(z) z is a complex integer—that is, has real and imaginary parts which are both integers. If ...

[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 ...

Polynomial root-finding algorithms - Wikipedia

Polynomial root-finding algorithms · Principles · Finding one root · Finding roots in pairs · Finding all roots at once · Exclusion and enclosure methods · Real-root ...

Simple and Efficient Real Root-finding for a Univariate Polynomial

In Section 4 we present the results of our numerical tests. 2 Real Polynomial Root-finding by Means of the Root-radii. Approximation. Hereafter ...

Efficient root finding algorithm for monotonic function

To handle such cases without being significantly slower than bisection, you may want to try Brent's method. It uses a combination of bisection ...

Logcf: An Efficient Tool for Real Root Isolation

The complexity of the algorithm is O(n log(u+1)) additions and multiplications where u is the optimal upper bound satisfying Theorem 3.1 of this ...

The Exact Root Algorithm for Computing the Real Roots of an Nth ...

Abstract: Problem statement: The need to find an efficient and reliable algorithm for computing the exact real roots of the steady-state polynomial encountered ...

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.

[1104.1362] Root Refinement for Real Polynomials - arXiv

In this way, we get a correct algorithm that is simple to implement and practically efficient. Our algorithm uses the quadratic interval ...

EFFICIENT POLYNOMIAL ROOT ISOLATION APPLIED TO ...

Eigenwillig, “Real root isolation for exact and approximate polynomials using descartes' rule of signs,” 2008. [5] A. Kobel, F. Rouillier, and M. Sagraloff ...

[PDF] Efficiently Computing Real Roots of Sparse Polynomials

An efficient algorithm to compute the real roots of a sparse polynomial f∈R[x] having k non-zero real-valued coefficients, assumed that arbitrarily good ...