| 基于Zhang H C非单调技术的修正HS共轭梯度算法 |
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| 引用本文： | 高宝,孙清滢.基于Zhang H C非单调技术的修正HS共轭梯度算法[J].山东大学学报(理学版),2011,46(7):106-111. |
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| 作者姓名： | 高宝 孙清滢 |
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| 作者单位： | 中国石油大学数学与计算科学学院,山东青岛,266555 |
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| 基金项目： | 中国石油大学(华东)研究生创新基金资助项目(S10-28) |
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| 摘 要： | 将Zhang H C非单调技术与修正的Armijo线搜索规则结合,给出了求解无约束优化问题的一种新的HS共轭梯度算法。在较弱的条件下,证明了算法的全局收敛性。数值结果表明新算法是有效的,且适于求解大规模问题。
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| 关 键 词： | 非单调线搜索 不精确线搜索 共轭梯度算法 全局收敛性 |
Modified HS conjugate gradient method based on the Zhang H C nonmonotone technique |
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| GAO Bao,SUN Qing-ying.Modified HS conjugate gradient method based on the Zhang H C nonmonotone technique[J].Journal of Shandong University,2011,46(7):106-111. |
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| Authors: | GAO Bao SUN Qing-ying |
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| Institution: | GAO Bao,SUN Qing-ying (School of Mathematics and Computational Sciences,China University of Petroleum,Qingdao 266555,Shandong,China) |
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| Abstract: | By combining the Zhang H C nonmonotone technique with the modified Armijo line search rule,a new HS conjugate gradient method for unconstrained optimization problems is presented.Under mild conditions,the global convergence of the new algorithm is proved.The numerical results show that the new method is effective and suitable for solving large-scale problems. |
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| Keywords: | nonmonotone line search inexact line search conjugate gradient method global convergence |
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