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A Aggregate Constraint Shifting Combined Homotopy Method for Solving Nonlinear Programming
Wang Xiuyu 1 #,Jiang Xingwu 2,Liu qinghuai 1 *
1..School of Basic Science,Changchun University of Technology ,Changchun 130012
2.Jilin Business and Technology College
*Correspondence author
#Submitted by
Subject:
Funding: 国家自然科学基金,吉林省教育厅十一五科学技术研究资助项目（No.10771020,）
Opened online: 5 February 2009
Accepted by: none
Citation: Wang Xiuyu,Jiang Xingwu,Liu qinghuai.A Aggregate Constraint Shifting Combined Homotopy Method for Solving Nonlinear Programming[OL]. [ 5 February 2009] http://en.paper.edu.cn/en_releasepaper/content/28421
 
 
For solving nonlinear nonconvex programming problem only with inequality constraint, We construct aggregate constraint shifting function with a parameter , and combined homotopy equation, under very weak conditions of the feasible set bounded、 connected and the regularity of the boundary.The convergence of a smooth homotopy path which from any interior point or any infeasible interior point to a solution of the problem is proved. Numerical examples concluded that this method is feasible and effective.
Keywords: nonlinear programming ; combined homotopy; aggregate function; constraint shifting.
 
 
 

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