Several filled functions with mitigators

被引：21

作者：

Liu, XA ^{[1
]}

机构：

[1] Univ Alberta, Dept Elect & Comp Engn, Edmonton, AB T6G 2G7, Canada

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2002年 / 133卷 / 2-3期

关键词：

filled function method; global optimization; minimization; nonlinear programming;

D O I：

10.1016/S0096-3003(01)00248-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Several filled functions were reported to seek the global minimum of multimodal functions of multiple variables. This Paper proposes an alternative formulation that may reduce the negative definite effect of the Hessian of a filled function proposed before. Furthermore, a class of mitigators is defined and applied to improve the computational characteristics of filled functions. Results of numerical experiments on typical testing functions are also reported. (C) 2002 Elsevier Science Inc. All rights reserved.

引用

页码：375 / 387

页数：13

共 19 条

[1]

ARCHETTI F, 1980, LECT NOTES CONTROL I, V23, P36

[2] GLOBAL OPTIMIZATION OF FUNCTIONS BY THE RANDOM OPTIMIZATION METHOD [J].

BABA, N .

INTERNATIONAL JOURNAL OF CONTROL, 1979, 30 (06) :1061-1065

[3] ITERATIVE METHODS FOR THE LOCALIZATION OF THE GLOBAL MAXIMUM [J].

BASSO, P .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1982, 19 (04) :781-792

[4]

Becker R. W., 1970, Proceedings of the 8th annual Allerton conference on circuit and system theory, P3

[5] WIDELY CONVERGENT METHOD FOR FINDING MULTIPLE SOLUTIONS OF SIMULTANEOUS NONLINEAR EQUATIONS [J].

BRANIN, FH .

IBM JOURNAL OF RESEARCH AND DEVELOPMENT, 1972, 16 (05) :504-&

[6]

BRANIN FH, 1972, NUMERICAL METHODS NO

[7]

DIXON L, 1976, OPTIMIZATION ACTION

[8]

Dixon L., 1978, GLOBAL OPTIMIZATION, V2

[9] LIMITING DISTRIBUTION FOR RANDOM OPTIMIZATION METHODS [J].

DOREA, CCY .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1986, 24 (01) :76-82

[10]

Fiacco A.V., 1990, Nonlinear Programming Sequential Unconstrained Minimization Techniques

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