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关于单纯形调优法的终止准则的若干分析
引用本文:顾亦明. 关于单纯形调优法的终止准则的若干分析[J]. 曲阜师范大学学报, 1988, 0(3)
作者姓名:顾亦明
作者单位:复旦大学统计运筹系
摘    要:本文对多变单纯形调优法的Nelder-Mead终止准则进行了讨论,说明该准则不能保证计算误差很小,并对一致凸的函数得到了关于单纯形各顶点与最优点的平均误差的一个估计式,据此提出了单纯形调优法的终止准则的改进形式.

关 键 词:单纯形调优法  健壮度  终止准则

SOME ANALYSES ON THE TERMLNATLON CRLERLON FOR THE SLMPLEX EVOLUTLONARY TECHN LQUE
Gu Yiming. SOME ANALYSES ON THE TERMLNATLON CRLERLON FOR THE SLMPLEX EVOLUTLONARY TECHN LQUE[J]. Journal of Qufu Normal University(Natural Science), 1988, 0(3)
Authors:Gu Yiming
Abstract:In this paper we consider the Nelder-Mead termination criterion for the simplex evolutionary technique. We point out that the calculated error isn't neglgible when this criterion is used. At the same tim, the error estimation between the centroid of simplex and the optimal point with respect to uniformly convex function is given and an improved methed of this criterion is presented.
Keywords:The Simplex Evolutionary Technique  Robust Degree  The termination Criterion
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