Highly Influenced

# Semismooth Newton Methods for Solving Semi-Infinite Programming Problems

@article{Qi2003SemismoothNM, title={Semismooth Newton Methods for Solving Semi-Infinite Programming Problems}, author={Liqun Qi and Soon-Yi Wu and Guanglu Zhou}, journal={J. Global Optimization}, year={2003}, volume={27}, pages={215-232} }

- Published in J. Global Optimization 2003
DOI:10.1023/A:1024814401713

In this paper we present some semismooth Newton methods for solving the semi-infinite programming problem. We first reformulate the equations and nonlinear complementarity conditions derived from the problem into a system of semismooth equations by using NCP functions. Under some conditions a solution of the system of semismooth equations is a solution of the problem. Then some semismooth Newton methods are proposed for solving this system of semismooth equations. These methods are globally andâ€¦Â CONTINUE READING

#### From This Paper

##### Topics from this paper.

#### Citations

##### Publications citing this paper.

#### Citation Statistics

#### 54 Citations

Citations per Year

Semantic Scholar estimates that this publication has

**54**citations based on the available data.See our **FAQ** for additional information.