Design and evaluation of modified simplex methods

作者: E.R. Åberg , A.G.T. Gustavsson

DOI: 10.1016/S0003-2670(01)95518-7

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摘要: Abstract The Modified Simplex method and the Controlled Weighted Centroid method, both with minor but essential alterations, are evaluated for four test functions. An attempt to design a combination of these two methods is discussed. tests show that altered outperforms other methods.

参考文章(7)
R. Fletcher, M. J. D. Powell, A Rapidly Convergent Descent Method for Minimization The Computer Journal. ,vol. 6, pp. 163- 168 ,(1963) , 10.1093/COMJNL/6.2.163
H. H. Rosenbrock, An Automatic Method for Finding the Greatest or Least Value of a Function The Computer Journal. ,vol. 3, pp. 175- 184 ,(1960) , 10.1093/COMJNL/3.3.175
M. W. Routh, P. A. Swartz, M. B. Denton, Performance of the Super Modified Simplex Analytical Chemistry. ,vol. 49, pp. 1422- 1428 ,(1977) , 10.1021/AC50017A033
P. Barry. Ryan, Richard L. Barr, H. David. Todd, Simplex techniques for nonlinear optimization Analytical Chemistry. ,vol. 52, pp. 1460- 1467 ,(1980) , 10.1021/AC50059A019
W. Spendley, G. R. Hext, F. R. Himsworth, Sequential Application of Simplex Designs in Optimisation and Evolutionary Operation Technometrics. ,vol. 4, pp. 441- 461 ,(1962) , 10.1080/00401706.1962.10490033
J. A. Nelder, R. Mead, A Simplex Method for Function Minimization The Computer Journal. ,vol. 7, pp. 308- 313 ,(1965) , 10.1093/COMJNL/7.4.308
Tomio Umeda, Atsunobu Ichikawa, A Modified Complex Method for Optimization Industrial & Engineering Chemistry Process Design and Development. ,vol. 10, pp. 229- 236 ,(1971) , 10.1021/I260038A016