Two modified Dai-Yuan nonlinear conjugate gradient methods |
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Authors: | Li Zhang |
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Institution: | (1) College of Mathematics and Computational Science, Changsha University of Science and Technology, Changsha, 410076, China |
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Abstract: | In this paper, we propose two modified versions of the Dai-Yuan (DY) nonlinear conjugate gradient method. One is based on
the MBFGS method (Li and Fukushima, J Comput Appl Math 129:15–35, 2001) and inherits all nice properties of the DY method. Moreover, this method converges globally for nonconvex functions even
if the standard Armijo line search is used. The other is based on the ideas of Wei et al. (Appl Math Comput 183:1341–1350,
2006), Zhang et al. (Numer Math 104:561–572, 2006) and possesses good performance of the Hestenes-Stiefel method. Numerical results are also reported.
This work was supported by the NSF foundation (10701018) of China. |
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Keywords: | Conjugate gradient method Global convergence |
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