Ostrowski type methods for solving systems of nonlinear equations

M Grau-Sánchez, Á Grau, M Noguera - Applied Mathematics and …, 2011 - Elsevier
Four generalized algorithms builded up from Ostrowski's method for solving systems of
nonlinear equations are written and analyzed. A development of an inverse first-order …

Basin attractors for various methods

M Scott, B Neta, C Chun - Applied Mathematics and Computation, 2011 - Elsevier
There are many methods for the solution of a nonlinear algebraic equation. The methods are
classified by the order, informational efficiency and efficiency index. Here we consider other …

An efficient two-point iterative method with memory for solving non-linear equations and its dynamics

S Abdullah, N Choubey, S Dara - Journal of Applied Mathematics and …, 2024 - Springer
In this paper, we present a novel class of two-step iterative methods with memory for solving
non-linear equations. By transforming an existing sixth-order scheme without memory into …

A new family of optimal eighth order methods with dynamics for nonlinear equations

JR Sharma, H Arora - Applied Mathematics and Computation, 2016 - Elsevier
We propose a simple yet efficient family of three-point iterative methods for solving nonlinear
equations. Each method of the family requires four evaluations, namely three functions and …

A family of modified Ostrowski methods with accelerated sixth order convergence

JR Sharma, RK Guha - Applied Mathematics and Computation, 2007 - Elsevier
Based on Ostrowski fourth order multipoint method, we derive a one-parameter family of
sixth order methods for solving equations. Each member of the family requires three …

A higher order method for multiple zeros of nonlinear functions

HD Victory Jr, B Neta - International Journal of Computer …, 1983 - Taylor & Francis
A higher order method for multiple zeros of nonlinear functions Page 1 Inrern. J. Cornpurer Murk.
1983. Vol. 12. pp 329-335 0020-7160 83 1204-0329 S18.50 0 I., Gordun and Breach Sc~ence …

A new optimal eighth-order family of iterative methods for the solution of nonlinear equations

C Chun, MY Lee - Applied Mathematics and Computation, 2013 - Elsevier
In this paper a new optimal family of methods for solving nonlinear equations is presented. It
is proved by analysis of convergence that each member of the family, which requires three …

[HTML][HTML] An efficient family of weighted-Newton methods with optimal eighth order convergence

JR Sharma, H Arora - Applied Mathematics Letters, 2014 - Elsevier
Based on Newton's method, we present a family of three-point iterative methods for solving
nonlinear equations. In terms of computational cost, the family requires four function …

A sixth order method for nonlinear equations

SK Parhi, DK Gupta - Applied Mathematics and Computation, 2008 - Elsevier
In this paper, a sixth order method is developed by extending a third order method of
Weerakoon and Fernando [S. Weerakoon, TGI Fernando, A variant of Newton's method with …

On a family of multipoint methods for non-linear equations

B Neta - International Journal of Computer Mathematics, 1981 - Taylor & Francis
On a family of multipoint methods for non-linear equations Page 1 Inlrtn. J Curnputer Mark 1981
Vol 9, pp 353-361 002&7160 81 0904-0353 $06 5 0 O c Gordon and Breach Sacnce Pubhrhers …