A new fourth-order family of simultaneous methods for finding polynomial zeros

DOI10.1016/j.amc.2004.04.036zbMath1072.65072OpenAlexW2036984929MaRDI QIDQ1774854

Miodrag S. Petković, Lidija Z. Rančić

Publication date: 4 May 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2004.04.036

zbMATH Keywords

convergencenumerical examplessimultaneous methodsmultiple zerossimple complex zeroscomplex zeros of polynomials

Mathematics Subject Classification ID

Related Items (5)

A note on determinantal representation of a Schröder-König-like simultaneous method for finding polynomial zeros ⋮ Chebyshev-Halley methods for analytic functions ⋮ A family of root-finding methods with accelerated convergence ⋮ An efficient higher order family of root finders ⋮ On the convergence of high-order Gargantini-Farmer-Loizou type iterative methods for simultaneous approximation of polynomial zeros

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On zero finding methods of higher order from data at one point
• On the convergence of Wang-Zheng's method
• Weierstrass formula and zero-finding methods
• Point estimation and some applications to iterative methods
• A method for finding the zeros of polynomials using a companion matrix.
• Iterative methods for simultaneous inclusion of polynomial zeros
• Point estimation of a family of simultaneous zero-finding methods
• The theory of Smale's point estimation and its applications
• On quadratic-like convergence of the means for two methods for simultaneous rootfinding of polynomials
• The fundamental theorem of algebra and complexity theory
• Convergence of Newton’s method and inverse function theorem in Banach space
• Approximate Zeros of Quadratically Convergent Algorithms
• Point estimation of simultaneous methods for solving polynomial equations: A survey

This page was built for publication: A new fourth-order family of simultaneous methods for finding polynomial zeros