New optimal class of higher-order methods for multiple roots, permitting \(f'(x_{n})=0\)

From MaRDI portal
Publication:907454

DOI10.1016/j.amc.2013.06.097zbMath1329.65103OpenAlexW2062978130MaRDI QIDQ907454

Munish Kansal, Saurabh Bhatia, Vinay Kanwar

Publication date: 25 January 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2013.06.097




Related Items

Comparative study of methods of various orders for finding repeated roots of nonlinear equationsEfficient families of Newton's method and its variants suitable for non-convergent casesAn efficient family of optimal fourth-order iterative methods for finding multiple roots of nonlinear equationsIterative methods for multiple roots with memory using self-accelerating techniqueOn constructing two-point optimal fourth-order multiple-root finders with a generic error corrector and illustrating their dynamicsNew mono- and biaccelerator iterative methods with memory for nonlinear equationsA family of optimal quartic-order multiple-zero finders with a weight function of the principal \(k\)th root of a derivative-to-derivative ratio and their basins of attractionA sixth-order family of three-point modified Newton-like multiple-root finders and the dynamics behind their extraneous fixed pointsComparing the basins of attraction for Kanwar-Bhatia-Kansal family to the best fourth order methodOn the dynamics of a triparametric family of optimal fourth-order multiple-zero finders with a weight function of the principal \(m\)th root of a function-to-function ratioConstructing a family of optimal eighth-order modified Newton-type multiple-zero finders along with the dynamics behind their purely imaginary extraneous fixed pointsHIGHER-ORDER FAMILIES OF MULTIPLE ROOT FINDING METHODS SUITABLE FOR NON-CONVERGENT CASES AND THEIR DYNAMICSA triparametric family of optimal fourth-order multiple-root finders and their dynamicsA new biparametric family of two-point optimal fourth-order multiple-root findersModified optimal class of Newton-like fourth-order methods for multiple roots




This page was built for publication: New optimal class of higher-order methods for multiple roots, permitting \(f'(x_{n})=0\)