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等式约束优化问题的带记忆模型信赖域算法

A Trust Region Algorithm with Memory Model for Equality Constrained Optimization Problems
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摘要 针对等式约束优化问题提出了一个带记忆的等式约束信赖域算法。该算法不同于传统的信赖域方法,此信赖域模型是记忆模型,从全局考虑目标函数的下降性而不完全依赖于当前点信息,采用非单调技术得到了算法的全局收敛性和超线性收敛性。 In the paper a new trust region algorithm with memory model for equality constrained optimization problems is proposed.Different from the tradition trust algorithm,the new algorithm contains the message of the past iteration,which makes the algorithm more farsighted.Moreover,the algorithm is not completely decided by the local nature of the objection function,and numerical results show it is efficient.By adopting non-monotone technique,the global convergence and superlinear convergence of the algorithm are obtained.
作者 黄青群
机构地区 河池学院数学系
出处 《河池学院学报》 2011年第5期33-42,共10页 Journal of Hechi University
基金 国家自然科学基金资助项目(11061011) 广西高校优秀人才资助项目(〔2009〕156)
关键词 记忆模型 信赖域算法 非单调技术 全局收敛性 超线性收敛性 memory model trust region algorithm non-monotone technique global convergence superlinear convergence
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参考文献8

  • 1Zhang Ju Liango A robust trust region method for nonlinear optimization with inequality constraint[ J] . Applied Mathematics and Computation, 2006, 176(2) :688 -699.
  • 2Powell M J D, Yuan Y. A Trust Region Algorithm for Equaliaty Constrained Optimization [ J]. Mathematical Programming, 1991,49:189 -211.
  • 3Dennis J e, El - AlemMand and Maciel M, A Global Convergence Theory for General Trust - Region - Based Algorithms for Equality Constrained Optimization [ J ]. SIAM Journalon Optimization, 1997,7 ( 1 ) : 177 - 207.
  • 4Yuan. Y. On the Superlinear Convergence of a Trust Region Algorithm for Nonsmooth Optimization [ J ]. Mathematical Programming, 1985,31 : 269 - 285.
  • 5袁亚湘,孙文瑜.最优化理论和方法[M].北京:科学出版社,1997.
  • 6Zhensheng Yu, Weiguo Zhang, and Ji LinAo Trust Region Algorithm with Memory for Equality Constrained Optimization[ J] .Numerical Functional Analysis and Optimization, 2008,29 ( 5 - 6 ) :717 - 734.
  • 7王芳华,高成修.等式约束优化的信赖域法[J].数学杂志,2009,29(4):529-534. 被引量:3
  • 8Yuan ,Y. Trust region methods for nonlinear programming[ J]. Contemporary Mathematics, 1994, ( 163 ) :205 - 225.

二级参考文献6

  • 1Powell M J D, Yuan Y. A Trust Region Algorithm for Equaliaty Constrained Optimization[J]. Mathematical Programming , 1991,49 : 189-211.
  • 2M. C. Bartholo-Biggs. Recursive Quadrtie Programming Methods Based on the Augmented Lagrangian [J]. Mathematical Programming,Study,1987,31:21-24.
  • 3Dennis J e, EI-AlemMand and Maeiel M.. A Global Convergencn Theory for General Trust-Region- Based Algorithms for Equaliaty Constrained Optimization[J]. SIAM Journalon Optimization, 1997,7 (1) :177-207.
  • 4Yuan. Y. On the Suoerlinear Convergence of a Trust Region Algorithm for Nonsmooth Optimization [J]. Mathematical Programming , 1985,31 :269-285.
  • 5Fletcher. Second Order Correction for Non-differential Optimization[C]. In.. G. A. Watsin. ed Numerical Analysis Spring-Verlag Berlin. 1982:85-115.
  • 6袁亚湘,孙文瑜.最优化理论和方法[M].北京:科学出版社,1997.

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