| CONVERGENCE PROPERTIES OF THE DEPENDENT PRP CONJUGATE GRADIENT METHODS |
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| 作者姓名： | Shujun LIAN Changyu WANG Lixia CAO |
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| 作者单位： | [1]Department of Mathematics, Shanghai University, Shanghai 200436, China [2]College of Operations and Management, Qufu Normal University, Qufu 273165, China [3]Department of Mathematics, Rizhao Radio and Television University, Rizhao 276826 China |
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| 基金项目： | This work is supported by National Science Foundation of China （10571106） and the Foundation of Qufu Normal University. |
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| 摘 要： | In this paper, a new region of βk with respect to ;βk^PRP is given. With two Armijo-type line searches, the authors investigate the global convergence properties of the dependent PRP conjugate gradient methods, which extend the global convergence results of PRP conjugate gradient method proved by Grippo and Lucidi （1997） and Dai and Yuan （2002）.
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| 关 键 词： | 共轭梯度 收敛 线搜索 PRP |
| 收稿时间： | 2004-09-13 |
| 修稿时间： | 2004-09-13 |
Convergence Properties of the Dependent PRP Conjugate Gradient Methods |
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| Shujun LIAN Changyu WANG Lixia CAO.CONVERGENCE PROPERTIES OF THE DEPENDENT PRP CONJUGATE GRADIENT METHODS[J].Journal of Systems Science and Complexity,2006,19(2):288-296. |
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| Authors: | Shujun Lian Changyu Wang Lixia Cao |
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| Institution: | (1) Department of Mathematics, Shanghai University, Shanghai, 200436, China;(2) College of Operations and Management, Qufu Normal University, Qufu, 273165, China;(3) Department of Mathematics, Rizhao Radio and Television University, Rizhao, 276826, China |
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| Abstract: | In this paper, a new region of βk with respect to βkPRP is given. With two Armijo-type line searches, the authors investigate the global convergence properties of the dependent
PRP conjugate gradient methods, which extend the global convergence results of PRP conjugate gradient method proved by Grippo
and Lucidi (1997) and Dai and Yuan (2002).
This work is supported by National Science Foundation of China (10571106) and the Foundation of Qufu Normal University. |
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| Keywords: | Conjugate gradient convergence property line search |
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