| 非单调Armijo型线搜索下Liu-Storey共轭梯度法的收敛性 |
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| 引用本文： | 程李晴. 非单调Armijo型线搜索下Liu-Storey共轭梯度法的收敛性[J]. 平原大学学报, 2009, 0(2) |
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| 作者姓名： | 程李晴 |
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| 作者单位： | 新乡医学院基础医学院; |
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| 摘 要： | 研究了一种非单调Armijo型线搜索,发现了此线搜索的一些新的性质,并利用这些新性质证明了此线搜索Liu-Storey(LS)共轭梯度法不仅是全局收敛的,而且是强收敛的。
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| 关 键 词： | 无约束优化 LS共轭梯度法 非单调线搜索 全局收敛 |
The Convergence of the Liu-Storey Conjugate Gradient Method with Armijo-type Non-monotone Line Search |
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| CHENG Li-qing. The Convergence of the Liu-Storey Conjugate Gradient Method with Armijo-type Non-monotone Line Search[J]. Journal of Pingyuan University, 2009, 0(2) |
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| Authors: | CHENG Li-qing |
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| Affiliation: | Medical Teaching Institute;Xinxiang Medical University;Xinxiang 453003;China |
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| Abstract: | A non-monotone Armijo-type line search is studied and its new properties are found.The Liu-Storey conjugate gradient method with the non-monotone Armijo-Type line search is proved to be not only globally convergent but also strongly convergent by means of these new properties. |
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| Keywords: | unconstrained optimization Liu-Storey conjugate gradient method non-monotone line search global convergence |
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