An LP-Newton method: nonsmooth equations, KKT systems, and nonisolated solutions

2013 ◽  
Vol 146 (1-2) ◽  
pp. 1-36 ◽  
Author(s):  
Francisco Facchinei ◽  
Andreas Fischer ◽  
Markus Herrich
Keyword(s):  
Newton Method ◽  
Nonsmooth Equations ◽  
Kkt Systems

scholarly journals Generalized Newton Method for a Kind of Complementarity Problem

2014 ◽  
Vol 2014 ◽  
pp. 1-5
Author(s):  
Shou-qiang Du
Keyword(s):  
Global Convergence ◽  
Newton Method ◽  
Differentiable Function ◽  
Local Convergence ◽  
Complementarity Problem ◽  
Merit Function ◽  
Nonsmooth Equations ◽  
Generalized Newton Method ◽  
Convergence Results ◽  
Generalized Newton

A generalized Newton method for the solution of a kind of complementarity problem is given. The method is based on a nonsmooth equations reformulation of the problem byF-Bfunction and on a generalized Newton method. The merit function used is a differentiable function. The global convergence and superlinear local convergence results are also given under suitable assumptions. Finally, some numerical results and discussions are presented.

A two-step SOR-Newton method for nonsmooth equations

2009 ◽  
Vol 71 (10) ◽  
pp. 4387-4395 ◽  
Author(s):  
Xiaoxia Zhou ◽  
Yongzhong Song ◽  
Li Wang
Keyword(s):  
Newton Method ◽  
Nonsmooth Equations
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