Filled functions for unconstrained global optimization

被引:0
|
作者
Xu Z. [1 ]
Xu C. [2 ]
机构
[1] Faculty of Electrical Engineering, Xi’an Jiaotong Univ, Xi’an
[2] Faculty of Sciences, Xi’an Jiaotong Univ, Xi’an
关键词
Basin; Filled function; Global optimization; Nonsmooth optimization;
D O I
10.1007/s11766-000-0056-x
中图分类号
学科分类号
摘要
The paper is concerned with the filled functions for global optimization of a continuous function of several variables. More general forms of filled functions are presented for smooth and nonsmooth optimizations. These functions have either two adjustable parameters or one adjustable parameter. Conditions on functions and on the values of parameters are given so that the constructed functions are desired filled functions. © 2000 Springer Verlag.
引用
收藏
页码:307 / 318
页数:11
相关论文
共 50 条
  • [1] FILLED FUNCTIONS FOR UNCONSTRAINED GLOBAL OPTIMIZATION
    Xu Zheng Xu ChengxianFaculty of Electrical Engineering
    [J]. Applied Mathematics:A Journal of Chinese Universities, 2000, (03) : 307 - 318
  • [2] Filled functions for unconstrained global optimization
    Xu, Z
    Huang, HX
    Pardalos, PM
    Xu, CX
    [J]. JOURNAL OF GLOBAL OPTIMIZATION, 2001, 20 (01) : 49 - 65
  • [3] Filled functions for unconstrained global optimization
    Zheng Xu
    Hong-Xuan Huang
    Panos M. Pardalos
    Cheng-Xian Xu
    [J]. Journal of Global Optimization, 2001, 20 : 49 - 65
  • [4] A Class Of Generalized Filled Functions For Unconstrained Global Optimization
    Shang, You Lin
    Wang, Wei Xiang
    Sun, Quan Bao
    [J]. APPLIED MATHEMATICS E-NOTES, 2007, 7 : 147 - 153
  • [5] A Class of Parameter-Free Filled Functions for Unconstrained Global Optimization
    Pandiya, Ridwan
    Salmah
    Widodo
    Endrayanto, Irwan
    [J]. INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2022, 19 (04)
  • [6] A new filled function for unconstrained global optimization
    Wang, XL
    Zhou, GB
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2006, 174 (01) : 419 - 429
  • [7] A New Class of Filled Functions with Two Parameters for Solving Unconstrained Global Optimization Problems
    Chen, Qiao
    Yang, Xin-Min
    Yan, Qian
    [J]. JOURNAL OF THE OPERATIONS RESEARCH SOCIETY OF CHINA, 2024,
  • [8] A new filled function method with unconstrained global optimization
    Yang, Xiaolin
    Zhou, Bin
    Feng, Jun
    [J]. 2017 13TH INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE AND SECURITY (CIS), 2017, : 512 - 515
  • [9] A parameter free filled function for unconstrained global optimization
    Ma, Suzhen
    Yang, Yongjian
    Liu, Huaqun
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2010, 215 (10) : 3610 - 3619
  • [10] A Filled Function with Adjustable Parameters for Unconstrained Global Optimization
    SHANG You-lin
    Department of Mathematics
    [J]. Chinese Quarterly Journal of Mathematics, 2004, (03) : 232 - 239