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Title: Semismooth Newton methods for solving semi-infinite programming problems
Authors: Qi, L.
Wu, S.-Y.
Zhou, G. 
Keywords: Semi-infinite programming
Semismooth equations
Semismooth Newton method
Issue Date: Nov-2003
Citation: Qi, L., Wu, S.-Y., Zhou, G. (2003-11). Semismooth Newton methods for solving semi-infinite programming problems. Journal of Global Optimization 27 (2-3) : 215-232. ScholarBank@NUS Repository.
Abstract: 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 and superlinearly convergent. Numerical results are also given.
Source Title: Journal of Global Optimization
ISSN: 09255001
DOI: 10.1023/A:1024814401713
Appears in Collections:Staff Publications

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