中国石油大学学报（自然科学版）2017，Vol.41Issue(1)：144-149,6.DOI:10.3969/j.issn.1673-5005.2017.01.019
基于盲人探路寻优思想的二阶近似式定点法研究
Investigation on the second-order approximation point method based on blind walking idea
摘要
Abstract
The one-dimensional and multi-dimensional the second-order approximation fixed iterative point formulas methods were analyzed in this paper.Firstly,the improved optimization algorithm based on the bhnd walking idea was proposed,where the step algorithm,program flowchart and computer subroutines were given.For the example where the objective function is the quadratic sine function,it is judged that the position of the extreme point is almost in the direction from the current point to the extreme.For the example where the objective function is a quadratic function with the 1/8 power,the extreme point is just in this direction,and the optimal point should be sought in the reversal direction.For the example where the objective function is the aquatic function of one quarter,the iterative point of the first current point points to the extreme point,and the distance from the current point to the extreme point is divided by an integer step.The result shows that the proposed method has the advantages of strong practicability and small amount of calculation,etc.关键词
优化方法/二阶近似式/盲人探路寻优思想/牛顿法Key words
optimization method/the second-order approximation/blind-walking optimization idea/Newton's method分类
数理科学引用本文复制引用
李春明,朱明烨,李万腾..基于盲人探路寻优思想的二阶近似式定点法研究[J].中国石油大学学报（自然科学版）,2017,41(1):144-149,6.基金项目
山东省自然科学基金项目(Q2006A08) （Q2006A08）
中国石油大学胜利学院科技计划项目(KY2015025) （KY2015025）
