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词汇 Golden section search
分类 英语词汇 英语翻译词典
释义

Golden section search

中文百科

黄金分割法

黄金分割法示意图
The graph of a strictly concave quadratic function is shown in blue, with its unique maximum shown as a red dot. Below the graph appears the contours of the function: The level sets are nested ellipses.
 Beide Rechtecke sind Goldene (animierte Darstellung)

0.618法,又叫黄金分割法,是优选法的一种。它在试验时,把试点安排在黄金分割点上来寻找最佳点。而生产生活中,我们常常取其近似值0.618,因此得名。0.618法是最常用的单因素单峰目标函数优选法之一。

英语百科

Golden section search 黄金分割法

Diagram of a golden section search
The graph of a strictly concave quadratic function is shown in blue, with its unique maximum shown as a red dot. Below the graph appears the contours of the function: The level sets are nested ellipses.

The golden section search is a technique for finding the extremum (minimum or maximum) of a strictly unimodal function by successively narrowing the range of values inside which the extremum is known to exist. The technique derives its name from the fact that the algorithm maintains the function values for triples of points whose distances form a golden ratio. The algorithm is the limit of Fibonacci search (also described below) for a large number of function evaluations. Fibonacci search and Golden section search were discovered by Kiefer (1953). (see also Avriel and Wilde (1966)).

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