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文章基本信息

  • 标题:Random perturbation of the variable metric method for unconstrained nonsmooth nonconvex optimization
  • 本地全文:下载
  • 作者:Abdelkrim El Mouatasim ; Rachid Ellaia ; José E. Souza de Cursi
  • 期刊名称:International Journal of Applied Mathematics and Computer Science
  • 电子版ISSN:2083-8492
  • 出版年度:2006
  • 卷号:16
  • 期号:4
  • 出版社:De Gruyter Open
  • 摘要:We consider the global optimization of a nonsmooth (nondifferentiable) nonconvex real function. We introduce a variable metric descent method adapted to nonsmooth situations, which is modified by the incorporation of suitable random perturbations. Convergence to a global minimum is established and a simple method for the generation of suitable perturbations is introduced. An algorithm is proposed and numerical results are presented, showing that the method is computationally effective and stable
  • 关键词:nonconvex optimization; stochastic perturbation; variable metric method; nonsmooth optimization; generalized gradient
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