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《JOURNAL OF CHONGQING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS》 1994-02
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On the Investigation of Powell’s Conjecture

Liu Guanghui(Institute of Applied Maths,Academia Sinica)Xia Kewen(Logging Institute. Xi an Petroleum Exploration Instrument Complex)  
The research of variable metric algorithms has been being one of the focus of interests inunconstrained optimization,it is well-known that DFP algorithm is the earliest variable met-ric algorithm,the research in its convergence is shown by a series of Powell’s Pioneering re-sults。However,for nonconvex functions , it has still been an open problem whether the DFPalgorithm with exact linesearch is globally convergent,this is well-known Powell’s conjec-ture。 In this paper, we give a assumption(H),under this assumption we prove that Powell’sconjecture holds。
【Fund】: 国家自然科学基金资助
【CateGory Index】: O224
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