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  • 标题:A Lagrange function for solving nonlinear optimization problem with constraints
  • 本地全文:下载
  • 作者:Wenling Zhao ; Ranran Li
  • 期刊名称:Scientific Research and Essays
  • 印刷版ISSN:1992-2248
  • 出版年度:2011
  • 卷号:6
  • 期号:12
  • 页码:2550-2554
  • DOI:10.5897/SRE11.377
  • 语种:English
  • 出版社:Academic Journals
  • 摘要:This paper proposes a nonlinear Lagrangian for solving optimization problems with inequality constraints, and discusses properties of the function at the Karush-Kuhn-Tucker (KKT) points. The local convergence of the sequence of iterate points generated based on the proposed nonlinear Lagrangian is shown, when the penal parameter  is larger than a threshold  under a set of suitable conditions on problem functions, and the error estimate for the solution is given, which depends on the penalty parameter.
  • 关键词:Nonlinear Lagrangian function; nonlinear optimization; convergence
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