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《Mathematics in Practice and Theory》 2008-21
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A Globally Convergent Filter Interior-point Method for Positive Definite Quadratic Programming

WANG Yong-li,HE Guo-ping,WANG Xin(College of Information Science and Engineering,Shandong University of Science and Technology,Qingdao 266510,China)  
Most existed classification problems can be converted into a positive definite quadratic program.In this paper,a filter interior-point algorithm for solving positive definite quadratic pregram is proposed by combining the filter technique with the primal-dual interior-point methods for NLP.The new algorithm can avoid the difficulties in the use of a penalty functon.Under mild assumptions,it is proved to be globally convergent.
【Fund】: 国家自然科学基金资助项目(10571109);; 山东省科技厅(2006GG3210009);; 山东省教育厅资助项目(J06P14)
【CateGory Index】: O221
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