A modified homogeneous potential reduction algorithm for solving the monotone semidefinite linear complementarity problem

2015 ◽  
Vol 10 (7) ◽  
pp. 1417-1448
Author(s):  
Rupaj Kumar Nayak ◽  
Jitamitra Desai
Keyword(s):  
Linear Complementarity Problem ◽  
Complementarity Problem ◽  
Linear Complementarity ◽  
Reduction Algorithm ◽  
Potential Reduction ◽  
Homogeneous Potential ◽  
Potential Reduction Algorithm ◽  
Semidefinite Linear Complementarity Problem

Solving Obstacle Problem Based on Potential-Reduction Interior Point Algorithm

2010 ◽  
Vol 29-32 ◽  
pp. 725-731
Author(s):  
Long Quan Yong
Keyword(s):  
Linear Complementarity Problem ◽  
Interior Point ◽  
Complementarity Problem ◽  
Obstacle Problem ◽  
Linear Complementarity Problems ◽  
Linear Complementarity ◽  
Interior Point Algorithm ◽  
Potential Reduction ◽  
Standard Linear ◽  
Novel Method

This text studies a kind of obstacle problem. Combining with difference principle, we transform the original problem into monotone linear complementarity problem, and propose a novel method called potential-reduction interior point algorithm for monotone linear complementarity problem. We establish global and finite convergence of the new method. The reliability and efficiency of the algorithm is demonstrated by the numerical experiments of standard linear complementarity problems and the examples of obstacle problem with free boundary.

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