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《Journal of Qufu Normal University(Natural Science)》 1988-03
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On the Convergence of the DEP Algorithm

Bu Dingguo, Yu wenci  
Under the condition of hypothesis for that objectivefunction has not convexity,in this paper, the convergence of the DEP algorithm as follow is proved:Givenf(x), and iteration sequence of points{x_*} converge to x_*, then x_* is certainly the critical point of f(x). The result answers that a question is proposed by powell in year 1972 (see refernce[2]).
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Chinese Journal Full-text Database 4 Hits
1 Liu Guanghui(Institute of Applied Maths,Academia Sinica)Xia Kewen(Logging Institute. Xi an Petroleum Exploration Instrument Complex);On the Investigation of Powell’s Conjecture[J];JOURNAL OF CHONGQING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS;1994-02
2 Xu Da-chuan(Department of Mathematics, Qufu Normal University);GLOBAL CONVERGENCE ANALYSIS OF DFP METHOD[J];MATHEMATICA NUMERICA SINICA;1997-03
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1 Li Donghui (Department of Applied Mathematics);On the Global Convergence of DFP Method[J];Journal of Hunan University(Natural Sciences);1993-02
【Secondary References】
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