A Family of High Order Derivative-Free Iterative Methods for Solving Root-Finding Problems

Author(s):  
Mahboub Baccouch
Mathematics ◽  
2021 ◽  
Vol 9 (6) ◽  
pp. 583
Author(s):  
Beny Neta

A new high-order derivative-free method for the solution of a nonlinear equation is developed. The novelty is the use of Traub’s method as a first step. The order is proven and demonstrated. It is also shown that the method has much fewer divergent points and runs faster than an optimal eighth-order derivative-free method.


2018 ◽  
Vol 934 ◽  
pp. 341-355 ◽  
Author(s):  
Jun-Wang Lu ◽  
Ya-Bo Wu ◽  
Yong Zheng ◽  
Li-Gong Mi ◽  
Hao Liao

2004 ◽  
Vol 395 (1-6) ◽  
pp. 57-60
Author(s):  
I. K. Mikhailyuk ◽  
P. P. Knox ◽  
V. Z. Pashchenko ◽  
N. Kh. Seifullina ◽  
V. B. Tusov ◽  
...  

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