|Table of Contents|

An Accelerated Simplex Method(PDF)

《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

Issue:
2003年02期
Page:
209-213
Research Field:
Publishing date:

Info

Title:
An Accelerated Simplex Method
Author(s):
KongRuirui QiuRuchen ① ZhouTianhui
School of Information Control,Qingdao University of Science and Technology,Qingdao 266042)
Keywords:
simplex method opt imizat ion modif icat ion accelerat ion convergence velocity
PACS:
O224
DOI:
-
Abstract:
A new modif ied simplex method can effect ively accelerate convergence velocity of iteration. A new ex pansion direct ion is added. The“Mapping Simplex Method” is used instead of the “ Substitution of Simplex Vertex es”. T he“ Simplex Compression” can be chosen in the calculation. The result s show that the modif ied simplex method allow s broader initial values w ith fast convergence velocity, whose iterations decrease from 50 ~ 100 to about 30 t imes. New method can effect ively avoid degenerat ion and failure in the calculat ion, and can be successfully used in the engineering optimum and data processing .

References:

1 邓正龙. 化工中的优化方法[M] . 北京: 化学工业出版社, 1992.
2 黄海林. 单纯形算法对指数曲线拟合的应用[ J] . 数理医药学杂志, 1997, 10( 3) : 206~ 207.
3 Bernon J L, Boudousq V, Ro hmer J F, et al. . A comparative study of Powell and Downhill. s simplex algor ithms for a fast multimodal sur face matching in brain imag ing [ J] . ComputerizedMedical Imag ing and Gr aphics, 2001, 25: 287~ 297.
4 Selber K, Nellen F, Steffen B, et al. . I nvestigation of mathematical methods for efficient optimisation of aqueous two- phase extraction[ J] . Journal of Chromatography B, 2000, 743: 21~ 30.
5 马建瓴, 王则柯. 灵活单纯形算法[ J] . 运筹学杂志, 1989, 8( 1) : 1~ 6.
6 朱向阳, 钟秉林, 熊有伦. Nelder-Mead 算法中单纯形顶点的仿射独立性检验[ J] . 系统工程与电子技术, 1997, ( 4) : 65~ 68.
7 Hedlund P, Gustavsson A. Design and evaluation of an effective modified simplex method [ J] . Analy tica Chimica Acta, 1999, 391: 257~ 267.
8 Hedlund P, Gustavsson A. Design and evaluat ion of an improved simplex metho d[ J] . Analy tica Chimica Acta, 1998, 371: 9~ 21.

Memo

Memo:
-
Last Update: 2013-03-17