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A Modified Conjugate Gradient Method with Global Convergence Property 被引量:2

A Modified Conjugate Gradient Method with Global Convergence Property
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摘要 A new conjugate gradient method is proposed in this paper. For any (inexact) line search, our scheme satifies the sufficient descent property. The method is proved to be globally convergent if the restricted Wolfe-Powell line search is used. Preliminary numerical result shows that it is efficient. A new conjugate gradient method is proposed in this paper. For any (inexact) line search, our scheme satifies the sufficient descent property. The method is proved to be globally convergent if the restricted Wolfe-Powell line search is used. Preliminary numerical result shows that it is efficient.
出处 《Journal of Mathematical Research and Exposition》 CSCD 2009年第1期65-75,共11页 数学研究与评论(英文版)
基金 Foundation item: the National Natural Science Foundation of China (No. 10761001) the Natural Science Foundation of Guangxi Province (No. 0542043).
关键词 unconstrained optimization conjugate gradient method Wolfe-Powell line search global convergence. unconstrained optimization conjugate gradient method Wolfe-Powell line search global convergence.
作者简介 E-mail: hongling166@163.com
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  • 1FLETCHER R, REEVES C M. Function minimization by conjugate gradients [J]. Comput. J., 1964, 7: 149-154.
  • 2POLAK E, RIBIERE G. Note sur la convergence de methodes de directions conjuguees [J]. Rev. Franeaise Informat. Recherche Operationnelle, 1969, 16: 35-43.
  • 3POLYAK B T. The conjugate gradient method in extreme problems [J]. UUSR Comput. Math; and Math. Phys., 1969, 9: 94-112.
  • 4HESTENES M R, STIEFEL E. Methods of conjugate gradients for solving linear systems [J]. J. Research Nat. Bur. Standards, 1952, 49: 409-436.
  • 5FLETCHER R. Practial Methods of Optimization [M]. John Wiley & Sons, Ltd., Chichester, 1987.
  • 6DAI Yuhong, YUAN Yaxiang. Nonlinear Conjugate Gradient Methods [M]. Shanghai: Shanghai Science and Technology Publisher, 2000.
  • 7YUAN Yaxiang, SUN Wenyu. Optimization Theories and Methods [M]. Beijing: Science Press, 1997.
  • 8WEI Zengxin, LI Guoyin, QI Liqun. New quasi-Newton methods for unconstrained optimization problems [J]. Appl. Math. Comput., 2006, 175(2): 1156-1188.
  • 9HAGER W W, ZHANG Hongchao. A new conjugate gradient method with guaranteed descent and an efficient line search [J]. SIAM J. Optim., 2005, 16(1): 170-192.
  • 10ZOUTENDIJK G. Nonlinear Programming, Computational Methods [M]. North-Holland, Amsterdam, 1970.

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