| 关于共轭梯度法的下降性和收敛性 |
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| 引用本文： | 白延琴,张连生. 关于共轭梯度法的下降性和收敛性[J]. 运筹学学报, 2000, 4(2): 19-26 |
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| 作者姓名： | 白延琴 张连生 |
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| 作者单位： | 上海大学数学系,上海,201800 |
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| 摘 要： | 本文给出了重新开始的一个准则，其准则是为保证共轭梯度法的下降性，我们不仅得到了具有不同参数选择的一般共轭梯度法的收敛性，而且将Ｒｅｆ．１中的结论给予推广。
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| 关 键 词： | 共轭梯度法 下降性 收敛性 极大极小问题 |
| 修稿时间： | 2000-12-23 |
Descent Properties and Global Convergence for Conjugate Gradient Methods |
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| YANQIN BAI,LIANSHENG ZHANG. Descent Properties and Global Convergence for Conjugate Gradient Methods[J]. OR Transactions, 2000, 4(2): 19-26 |
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| Authors: | YANQIN BAI LIANSHENG ZHANG |
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| Affiliation: | YANQIN BAI,LIANSHENG ZHANG(Department of Mathematics, Shanghai University, Shanghai 201800, China) |
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| Abstract: | In this paper we present a flew restarting criteria for general conjugate gradient methods with differeat choices for the parameter . The criteria is based on guaranteeing that . We obtain the results of global convergence for general conjugate gradient methods with different choices for the parameter that satisfies mild condition. The condition we uses for is much more weaker than that was used by Ref.1. |
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| Keywords: | Conjugate gradient algorithm descent property global convergence rest arting. |
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