| 新的PRP型谱共轭梯度法及其全局收敛性 |
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| 引用本文： | 陈龙卫,夏福全,贾朝勇.新的PRP型谱共轭梯度法及其全局收敛性[J].河南师范大学学报(自然科学版),2013,41(3):5-9,14. |
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| 作者姓名： | 陈龙卫 夏福全 贾朝勇 |
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| 作者单位： | 1. 南京航空航天大学理学院,南京210016;泰州机电高等职业技术学校,江苏泰州225300
2. 蚌埠学院数理系,安徽蚌埠,233030 |
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| 基金项目： | 安微省高校省级优秀青年基金 |
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| 摘 要： | 提出了一种新的不依赖于线搜索就满足充分下降性的PRP型谱共轭梯度法,证明了算法在标准Armijo线搜索下的全局收敛性,并进行了数值比较试验.理论与数值试验结果表明这个算法是一个值得研究的方法.
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| 关 键 词： | 无约束优化 谱共轭梯度法 充分下降 Armijo线搜索 全局收敛 |
Global Convergence of a New Spectral PRP Conjugate Gradient Method |
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| CHEN Longwei
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XIA Fuquan
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JIA Chaoyong.Global Convergence of a New Spectral PRP Conjugate Gradient Method[J].Journal of Henan Normal University(Natural Science),2013,41(3):5-9,14. |
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| Authors: | CHEN Longwei XIA Fuquan JIA Chaoyong |
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| Institution: | 1.College of Science,Nanjing university of Aeronautics and Astronautics,Nanjing 210016,China;2.Taizhou Higher Vocational School of Mechanical & Electrical Technology,Taizhou 225300,China;3.Department of Mathematics and Physics,Bengbu College,Bengbu 233030,China) |
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| Abstract: | A new spectral PRP conjugate gradient method is presented.The method can always generate sufficient descent direction independent of any line search used,with which the global convergence is proved under the standard Armijo line search.Finally,the numerical experiment is carried out.Theoretical and numerical results show that this algorithm is promising. |
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| Keywords: | unconstrained optimization spectral conjugate gradient method sufficient descent condition Armijo line search global convergence |
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