For finding all the roots, arguably the most reliable method is the Francis QR algorithm computing the eigenvalues of the companion matrix corresponding to the ... Exclusion and enclosure... · Finding multiple roots of...

In numerical analysis, a root-finding algorithm is an algorithm for finding zeros, also called "roots", of continuous functions. Bracketing methods · Interpolation · Iterative methods

20 февр. 2013 г. · If you need to find all of the roots of an arbitrary polynomial, the Jenkins-Traub algorithm is easily the best, both in terms of efficiency and robustness. Most Efficient Method to Find Roots of Polynomial [duplicate] Best (fastest) method for root finding of 6th degree polynomial Is there any way to find the number of real roots of a polynomial ... Другие результаты с сайта math.stackexchange.com

31 мар. 2010 г. · It turns out that, for this problem, there is a complete algorithm which is guaranteed to terminate and find all roots.

1 окт. 2024 г. · This work presents an algorithm that finds all the real roots of a polynomial, using the roots of its derivative to obtain isolating ...

7 авг. 2024 г. · Root-finding algorithms are tools used in mathematics and computer science to locate the solutions, or "roots," of equations.

12 мар. 2015 г. · I'm looking for a speedy algorithm to find the roots of a univariate polynomial in a prime finite field. That is, if f = a0 + a1x + a2x2 + ...

We will start with the closed-form formulas for roots of polynomials of degree up to four. For polynomials of degrees more than four, no general formulas for ...

11 окт. 2023 г. · Practical implementation of a fast, robust and reliable polynomial root finder using Newton's method.

It should be emphasized that the path lifting method, like Newton iteration, is an algorithm for finding a single root of a polynomial we discuss how to combine ...