A Priestley-type Method for Generating Free l-Groups

Author(s):  
Néstor G. Martínez ◽  
Alejandro Petrovich
Keyword(s):  
2018 ◽  
pp. 51-71
Author(s):  
Aleksey Aksenov ◽  
◽  
V. Chechetkin ◽  
Vladimir Tishkin ◽  
◽  
...  

2012 ◽  
Vol 220-223 ◽  
pp. 2585-2588
Author(s):  
Zhong Yong Hu ◽  
Fang Liang ◽  
Lian Zhong Li ◽  
Rui Chen

In this paper, we present a modified sixth order convergent Newton-type method for solving nonlinear equations. It is free from second derivatives, and requires three evaluations of the functions and two evaluations of derivatives per iteration. Hence the efficiency index of the presented method is 1.43097 which is better than that of classical Newton’s method 1.41421. Several results are given to illustrate the advantage and efficiency the algorithm.


2021 ◽  
Vol 95 ◽  
pp. 103319
Author(s):  
Zdeněk Dvořák ◽  
Carl Feghali
Keyword(s):  

Optimization ◽  
2021 ◽  
pp. 1-26
Author(s):  
Pedro Jorge S. Santos ◽  
Paulo Sérgio M. Santos ◽  
Susana Scheimberg

Mathematics ◽  
2019 ◽  
Vol 7 (9) ◽  
pp. 804
Author(s):  
Ioannis K. Argyros ◽  
Neha Gupta ◽  
J. P. Jaiswal

The semi-local convergence analysis of a well defined and efficient two-step Chord-type method in Banach spaces is presented in this study. The recurrence relation technique is used under some weak assumptions. The pertinency of the assumed method is extended for nonlinear non-differentiable operators. The convergence theorem is also established to show the existence and uniqueness of the approximate solution. A numerical illustration is quoted to certify the theoretical part which shows that earlier studies fail if the function is non-differentiable.


Author(s):  
Abdulkarim Hassan Ibrahim ◽  
Poom Kumam ◽  
Basim A. Hassan ◽  
Auwal Bala Abubakar ◽  
Jamilu Abubakar

2003 ◽  
Vol 116 (1) ◽  
pp. 205-228 ◽  
Author(s):  
Z. Wei ◽  
L. Qi ◽  
X. Chen

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