A Parallel Relaxed Multisplitting Method for Affine Second-Order Cone Complementarity Problem

2009 ◽  
Author(s):  
Ban-Xiang Duan ◽  
Lu-qiao Fan ◽  
Jiao-yu Wu
Keyword(s):  
Complementarity Problem ◽  
Second Order ◽  
Multisplitting Method ◽  
Second Order Cone ◽  
Relaxed Multisplitting Method

Smoothing Homotopy Method for Solving Second-Order Cone Complementarity Problem

2020 ◽  
Vol 37 (05) ◽  
pp. 2050023
Author(s):  
Xiaona Fan ◽  
Min Zeng ◽  
Li Jiang
Keyword(s):  
Global Convergence ◽  
Smooth Function ◽  
Complementarity Problem ◽  
Homotopy Method ◽  
Second Order ◽  
Numerical Results ◽  
Monotonicity Condition ◽  
Second Order Cone

In this paper, based on Chen–Harker–Kanzow–Smale smooth function, we obtain a smoothing homotopy method to solve the second-order cone complementarity problem. The global convergence is ensured under certain non-monotonicity condition for the defined mapping [Formula: see text]. The numerical results illustrate that this method is feasible.

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