Study on Lemaréchal's High Order Algorithm: Conceptual Algorithm
Received:January 20, 1986  
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Huang Wan-zhen Shanghai University of Science and Technology 
Zhang Lian-sheng Shanghai University of Science and Technology 
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      C.Lemaréchal proposed an idea of high order σ-Newton type algorithm for nonsmooth convex functions in ( 1 ).some properties were discussed there.In this paper, we study more about this high order σ-Newton type algo-rithm, and give a conceptual algorithm.The grobal convergence has been proved.
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