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一维搜索的双切线法和双割线法
引用本文:殷亚明. 一维搜索的双切线法和双割线法[J]. 南京理工大学学报(自然科学版), 1989, 0(4)
作者姓名:殷亚明
作者单位:机械制造系
摘    要:本文将函数负梯度的概念应用于一维搜索中,提出了一维搜索的新方法——双切线法和双割线法.特别是双割线法与0.618法和抛物线插值法相比.可使一维搜索的效率明显提高.

关 键 词:最佳搜索[30S]  梯度算法[30S]  最速下降法[30T]

The Double-cutting Line (DCL) and the Double-secant Line (DSL) Methods of the Unidimensional Search
Ying Yaming. The Double-cutting Line (DCL) and the Double-secant Line (DSL) Methods of the Unidimensional Search[J]. Journal of Nanjing University of Science and Technology(Nature Science), 1989, 0(4)
Authors:Ying Yaming
Affiliation:Ying Yaming
Abstract:By the use of the concept of functional negative gradient, this paper states new algorithms or the unidimensional search. the double-cuttingLine(DCL) and the double-secant Line(DSL) methods.Especially, as com-pared with the 0.618 method and the parabolic function-fitting method, the doub-le-secant line method makes the efficiency of the unidimensional search raise obvi-ously.
Keywords:Optimum search  Gradient algorithm  Steepest descent method
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