scholarly journals A New Fifth-Order Iterative Method for Finding MultipleRoots of Nonlinear Equations

2013 ◽  
Vol 2 (6) ◽  
pp. 260-264
Author(s):  
R. Thukral
Keyword(s):  
Iterative Method ◽  
Nonlinear Equations ◽  
Fifth Order

Fifth-order iterative method for finding multiple roots of nonlinear equations

2010 ◽  
Vol 57 (3) ◽  
pp. 389-398 ◽  
Author(s):  
Xiaowu Li ◽  
Chunlai Mu ◽  
Jinwen Ma ◽  
Linke Hou
Keyword(s):  
Iterative Method ◽  
Nonlinear Equations ◽  
Multiple Roots ◽  
Fifth Order

A fifth-order iterative method for solving nonlinear equations

2007 ◽  
Vol 194 (1) ◽  
pp. 287-290 ◽  
Author(s):  
YoonMee Ham ◽  
Changbum Chun
Keyword(s):  
Iterative Method ◽  
Nonlinear Equations ◽  
Fifth Order

An Efficient Sixth-Order Convergent Newton-Type Iterative Method for Nonlinear Equations

2012 ◽  
Vol 220-223 ◽  
pp. 2585-2588
Author(s):  
Zhong Yong Hu ◽  
Fang Liang ◽  
Lian Zhong Li ◽  
Rui Chen
Keyword(s):  
Iterative Method ◽  
Nonlinear Equations ◽  
Newton’S Method ◽  
Newton's Method ◽  
Efficiency Index ◽  
Sixth Order ◽  
Type Method ◽  
Second Derivatives ◽  
Better Than

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.

A fifth-order iterative method for solving equations

1987 ◽  
Vol 49 (1-2) ◽  
pp. 129-137 ◽  
Author(s):  
Duong Thuy Vy
Keyword(s):  
Iterative Method ◽  
Solving Equations ◽  
Fifth Order

Three novel fifth-order iterative schemes for solving nonlinear equations

2021 ◽  
Vol 187 ◽  
pp. 282-293
Author(s):  
Chein-Shan Liu ◽  
Essam R. El-Zahar ◽  
Chih-Wen Chang
Keyword(s):  
Nonlinear Equations ◽  
Iterative Schemes ◽  
Fifth Order
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