期刊文献+

修改的PRP共轭梯度法在ATLS线搜索下的全局收敛性 被引量:2

Global Convergence of a Algorithms about Li Conjugate Gradient Mehtod
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摘要 提出*ATLS线搜索,并进一步提出修改的PRP共轭梯度法在*ATLS线搜索下的算法,在适当条件下,证明算法全局收敛. We propose *ATLS line search.And base on this,we propose a algorithms which that by using a modified Polak-Ribière-Polyak conjugate gradient formula with the *ATLS line search conditions.We show that the new algorithms converge globally under some conditions.
作者 黎勇
出处 《广西民族大学学报(自然科学版)》 CAS 2010年第2期63-66,92,共5页 Journal of Guangxi Minzu University :Natural Science Edition
基金 国家自然科学基金(10761001) 广州大学-百色学院合作科研项目(GBK2010003)
关键词 无约束优化 共轭梯度法 非精确线搜索 全局收敛性 unconstrained optimization conjugate gradient method inexact line search global convergence
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参考文献9

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同被引文献21

  • 1莫降涛,顾能柱,韦增欣.修正PRP共轭梯度法的全局收敛性及其数值结果[J].数值计算与计算机应用,2007,28(1):56-62. 被引量:10
  • 2黄海,林穗华,姚胜伟.一个基于LS公式修正的新共轭梯度算法[J].广西科学,2007,14(3):244-246. 被引量:4
  • 3袁亚湘 孙文渝.最优化理论与方法[M].北京:科学出版社,1999..
  • 4戴或虹,袁亚湘.非线性共轭梯度法[M].上海:上海科学技术出版社,2001.
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  • 6Birgin E G, Martimez J M. A spectral conjugate gradient method for unconstrained optimization[J]. Appl. Math. Optim. 2001, 43:117-128.
  • 7ZhANG Li, ZhOU Weijun, LI Donghui. Global convergence of a modified Fletcher-Reeves conjugate gradient method with Armijo -type line search[J]. Numerische Mathematik, 2006, 104:561- 572.
  • 8LIU Jinkui. Globa| convergence of a new spectral PRP conjugate gradient method[J]. Journal of Applied Mathematics and Infor- matics, 2011, 29(6): 1303-1039.
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