Solution differentiability and continuation of Newton's method for variational inequality problems over polyhedral sets

1990 ◽  
Vol 66 (1) ◽  
pp. 121-135 ◽  
Author(s):  
J. S. Pang
Keyword(s):  
Variational Inequality ◽  
Newton’S Method ◽  
Newton's Method ◽  
Variational Inequality Problems ◽  
Polyhedral Sets ◽  
Solution Differentiability

scholarly journals Extending the applicability of Newton’s method for variational inequality problems under Smale-Wang- γ criteria

2019 ◽  
Vol 57 (1) ◽  
pp. 43-52
Author(s):  
Ioannis K. Argyros ◽  
Santhosh George
Keyword(s):  
Variational Inequality ◽  
Newton’S Method ◽  
Newton's Method ◽  
Variational Inequality Problems

Abstract The γ − theory for solving variational inequality problems using Newton’s method is extended using restricted convergence domains and the center γ − criterion.

Optimal Power Flow Using Newton’s Method

2012 ◽  
Vol 3 (2) ◽  
pp. 167-169
Author(s):  
F.M.PATEL F.M.PATEL ◽  
◽  
N. B. PANCHAL N. B. PANCHAL
Keyword(s):  
Newton’S Method ◽  
Newton's Method ◽  
Power Flow ◽  
Optimal Power Flow ◽  
Optimal Power

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.

scholarly journals A Hybrid Approach for Solving Systems of Nonlinear Equations Using Harris Hawks Optimization and Newton’s Method

IEEE Access ◽  
2021 ◽  
pp. 1-1
Author(s):  
Rami Sihwail ◽  
Obadah Said Solaiman ◽  
Khairuddin Omar ◽  
Khairul Akram Zainol Ariffin ◽  
Mohammed Alswaitti ◽  
...  
Keyword(s):  
Nonlinear Equations ◽  
Newton’S Method ◽  
Newton's Method ◽  
Hybrid Approach ◽  
Systems Of Nonlinear Equations
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