Some efficient one-point variants of Halley’s method, with memory, for solving nonlinear equations

2015 ◽  
Author(s):  
Higinio Ramos
Keyword(s):  
Nonlinear Equations ◽  
Halley’S Method ◽  
Halley's Method ◽  
With Memory

scholarly journals A note on the convergence of Halley's method for solving operator equations

1995 ◽  
Vol 37 (1) ◽  
pp. 16-25 ◽  
Author(s):  
Shiming Zheng ◽  
Desmond Robbie
Keyword(s):  
Nonlinear Equations ◽  
Operator Equations ◽  
Halley’S Method ◽  
Halley's Method

AbstractHalley's method is a famous iteration for solving nonlinear equations. Some Kantorovich-like theorems have been given. The purpose of this note is to relax the region conditions and give another Kantorovich-like theorem for operator equations.

scholarly journals On Some Iterative Methods with Memory and High Efficiency Index for Solving Nonlinear Equations

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Tahereh Eftekhari
Keyword(s):  
Iterative Methods ◽  
Nonlinear Equations ◽  
Order Of Convergence ◽  
High Efficiency ◽  
Efficiency Index ◽  
Order Convergence ◽  
Eighth Order ◽  
Additional Function ◽  
Numerical Comparisons ◽  
With Memory

Based on iterative methods without memory of eighth-order convergence proposed by Thukral (2012), some iterative methods with memory and high efficiency index are presented. We show that the order of convergence is increased without any additional function evaluations. Numerical comparisons are made to show the performance of the presented methods.

scholarly journals On a Derivative-Free Variant of King’s Family with Memory

2015 ◽  
Vol 2015 ◽  
pp. 1-5
Author(s):  
M. Sharifi ◽  
S. Karimi Vanani ◽  
F. Khaksar Haghani ◽  
M. Arab ◽  
S. Shateyi
Keyword(s):  
Nonlinear Equations ◽  
Numerical Experiments ◽  
Order Of Convergence ◽  
Derivative Free ◽  
With Memory

The aim of this paper is to construct a method with memory according to King’s family of methods without memory for nonlinear equations. It is proved that the proposed method possesses higherR-order of convergence using the same number of functional evaluations as King’s family. Numerical experiments are given to illustrate the performance of the constructed scheme.

On the Geometry of Halley's Method

1995 ◽  
Vol 102 (5) ◽  
pp. 417-426 ◽  
Author(s):  
T. R. Scavo ◽  
J. B. Thoo
Keyword(s):  
Halley’S Method ◽  
Halley's Method

Use of Halley's Method in the Nonlinear Finite Element Analysis

PAMM ◽  
2010 ◽  
Vol 10 (1) ◽  
pp. 569-570
Author(s):  
Carolin Plate ◽  
Panayiotis Papadopoulos ◽  
Ralf Müller
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Nonlinear Finite Element Analysis ◽  
Nonlinear Finite Element ◽  
Element Analysis ◽  
Halley’S Method ◽  
Halley's Method

scholarly journals A class of efficient high‐order iterative methods with memory for nonlinear equations and their dynamics

2018 ◽  
Vol 41 (17) ◽  
pp. 7263-7282 ◽  
Author(s):  
Cory L. Howk ◽  
José L. Hueso ◽  
Eulalia Martínez ◽  
Carles Teruel
Keyword(s):  
Iterative Methods ◽  
Nonlinear Equations ◽  
High Order ◽  
With Memory ◽  
High Order Iterative Methods
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