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Combined Homotopy Method For Solving Nonconvex
Liu Qinghuai 1 *,Wang Xiuyu 2 #,Jiang Xingwu 3
1.The Institute of Applied Mathematics ,Changchun University of Technology ,Changchun 130012
2.The Institute of Applied Mathematics ,Changchun University of Technology
3.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项目(No.10771020,)
Opened online: 5 February 2009
Accepted by: none
Citation: Liu Qinghuai,Wang Xiuyu,Jiang Xingwu.Combined Homotopy Method For Solving Nonconvex [OL]. [ 5 February 2009] http://en.paper.edu.cn/en_releasepaper/content/28428
 
 
For solving nonlinear nonconvex programming problem with a bounded feasible set. An aggregate constraint shifting function with a parameter and a combined homotopy equation are proposed, under the conditions of the feasible set bounded 、connectedand and the regularity of boundary. .The convergence of a smooth homotopy path that from any interior point or any infeasible interior point to a solution of the problem is prove. Numerical examples conclued that this method is feasible and effective.
Keywords:nonlinear programming, nonconvex programming, combined homotopy, aggregate function.
 
 
 

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