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The Convergence of the Steepest Descent Algorithm for D.C.Optimization 被引量:1

The Convergence of the Steepest Descent Algorithm for D.C.Optimization
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摘要 Some properties of a class of quasi-differentiable functions(the difference of two finite convex functions) are considered in this paper. And the convergence of the steepest descent algorithm for unconstrained and constrained quasi-differentiable programming is proved.
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2007年第1期131-136,共6页 数学季刊(英文版)
基金 Supported by the State Foundations of Ph.D.Units(20020141013) Supported by the NSF of China(10001007)
关键词 nonsmooth optimization D. C. optimization upper semi-continuous lower semi-continuous steepest descent algorithm CONVERGENCE 最速下降算法 凸优化 收敛 非光滑优化 D.C.函数
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  • 1[1]Demyanov V F, Gamidov S, Sivelina T I. An Algorithm for Minimiing a Certain Class of Quasidifferentiable Functions [J]. Math Prog Study, 1986, 29: 74~84.
  • 2[2]Kuntz L, Pielczyk A. The Method of Common Descent for a Certain Class of Quasidifferentiable Functions [J]. Optimization, 1991, 22(5): 669~679.
  • 3[3]Pallaschke D, Rech R. On the Steepest-descent Method for a Class of Quasidifferentiable Optimization Problems [C]. In: Demyanov V F, ed. Nonsmoth Problems of Control Theory and Optimization. Lenigrad: Leningrad University Press, 1982. 252~263.
  • 4[4]Demyanov V F. Quasidifferentiable Functions: Necessary Conditions and Descent Directions [J]. Math Prog Study, 1986, 29: 20~43.

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