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 equations ⋮ Efficient families of Newton's method and its variants suitable for non-convergent cases ⋮ An efficient family of optimal fourth-order iterative methods for finding multiple roots of nonlinear equations ⋮ Iterative methods for multiple roots with memory using self-accelerating technique ⋮ On constructing two-point optimal fourth-order multiple-root finders with a generic error corrector and illustrating their dynamics ⋮ New mono- and biaccelerator iterative methods with memory for nonlinear equations ⋮ A 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 attraction ⋮ A sixth-order family of three-point modified Newton-like multiple-root finders and the dynamics behind their extraneous fixed points ⋮ Comparing the basins of attraction for Kanwar-Bhatia-Kansal family to the best fourth order method ⋮ On 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 ratio ⋮ Constructing a family of optimal eighth-order modified Newton-type multiple-zero finders along with the dynamics behind their purely imaginary extraneous fixed points ⋮ HIGHER-ORDER FAMILIES OF MULTIPLE ROOT FINDING METHODS SUITABLE FOR NON-CONVERGENT CASES AND THEIR DYNAMICS ⋮ A triparametric family of optimal fourth-order multiple-root finders and their dynamics ⋮ A new biparametric family of two-point optimal fourth-order multiple-root finders ⋮ Modified 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 \(f'(x_{n})=0\)