|本期目录/Table of Contents|

[1]李亚敏.一种具有充分下降性的修正DL型谱共轭梯度法[J].浙江理工大学学报,2023,49-50(自科二):279-284.
 LI Yamin.A modified DL-type spectral conjugate gradient method  with sufficiently descent property[J].Journal of Zhejiang Sci-Tech University,2023,49-50(自科二):279-284.
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一种具有充分下降性的修正DL型谱共轭梯度法()
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浙江理工大学学报[ISSN:1673-3851/CN:33-1338/TS]

卷:
第49-50卷
期数:
2023年自科第二期
页码:
279-284
栏目:
出版日期:
2023-03-31

文章信息/Info

Title:
A modified DL-type spectral conjugate gradient method  with sufficiently descent property
文章编号:
1673-3851 (2023) 03-0279-06
作者:
李亚敏
河南开封科技传媒学院经济学院,河南开封 475001
Author(s):
LI Yamin
School of Economics, Technology & Media University of Henan Kaifeng, Kaifeng 475001, China
关键词:
无约束优化强Wolfe线搜索谱共轭梯度法谱参数全局收敛
分类号:
O221-2
文献标志码:
A
摘要:
提出了一种大规模无约束优化问题的求解方法,通过修正Dai-Liao(DL)共轭梯度法的共轭参数和谱共轭梯度法的谱参数,构造了一种修正DL型谱共轭梯度法。所选取的谱参数使得每次迭代都自动产生一个不依赖于任何线搜索的下降方向;在常规假设下,利用强Wolfe线搜索证明了此方法对一致凸函数是全局收敛的。

参考文献/References:

1 Fletcher R, Reeves C M. Function minimization by conjugate gradients J . The Computer Journal, 1964, 7(2): 149-154.

2Polak E, Ribiere G. Note sur la convergence de mthodes de directions conjugu esJ. Revue Franaise d’Informatique et De Recherche Oprationnelle Srie Rouge, 1969, 3(16): 35-43.

3Polyak B T. The conjugate gradient method in extremal problemsJ. USSR Computational Mathematics and Mathematical Physics, 1969, 9(4): 94-112.

4Hestenes M R, Stiefel E. Methods of conjugate gradients for solving linear systemsJ. Journal of Research of the National Bureau of Standards, 1952, 49(6): 409-436.

5Dai Y H, Yuan Y. A nonlinear conjugate gradient method with a strong global convergence propertyJ. SIAM Journal on Optimization, 1999, 10(1): 177-182.

6Liu Y, Storey C. Efficient generalized conjugate gradient algorithms, part 1: TheoryJ. Journal of Optimization Theory and Applications, 1991, 69(1):129-137.

7Fletcher R. Practical Methods of Optimization, Vol 1: Unconstrained OptimizationM. New York: John Wiley & Sons,1987:80-92.

8]李丹丹,李远飞,王松华.一种修正三项Hestenes-Stiefel共轭梯度投影算法及其应用[J.吉林大学学报(理学版),2022,60(1):64-72.

9Jiang X Z, Liao W, Yin J H, et al. A new family of hybrid three-term conjugate gradient methods with applications in image restorationJ. Numerical Algorithms, 2022, 91(1):161-191.

10Waziri M Y, Ahmed K, Halilu A S. A modified PRP-type conjugate gradient projection algorithm for solving large-scale monotone nonlinear equations with convex constraintJ. Journal of Computational and Applied Mathematics, 2022,407:114035.

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备注/Memo

备注/Memo:
收稿日期: 2022-08-01
网络出版日期:2022-11-01

作者简介: 李亚敏(1992-),女,河南开封人,助教,硕士,主要从事优化理论方面的研究

更新日期/Last Update: 2023-04-03