| 无约束最优化问题中一类新黄族及其性质 |
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| 引用本文： | 韦增欣,李桥兴.无约束最优化问题中一类新黄族及其性质[J].数学研究及应用,2005,25(1):64-71. |
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| 作者姓名： | 韦增欣 李桥兴 |
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| 作者单位： | 1. 广西大学数学与信息科学学院,广西,南宁,530004
2. 南京航空航天大学经济与管理学院,江苏,南京,210016 |
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| 基金项目： | NNSFofChina(10161002)
NSFofGuangxi(0135004) |
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| 摘 要： | 本文提出了一类新的用于解决无约束最优化问题的拟牛顿方法,并证明了这样的性质,在 精确线性搜索条件下,每一步该族所有方法所产生的迭代方向和迭代点列仅依赖于参数ρ.该方 法可视为拟牛顿方法中黄族的推广.
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| 关 键 词： | 无约束最优化 拟牛顿方程 拟牛顿方法 |
| 收稿时间： | 2003/1/13 0:00:00 |
A New Huang Class and Its Properties for Unconstrained Optimization Problems |
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| WEI Zeng-xin and LI Qiao-xing.A New Huang Class and Its Properties for Unconstrained Optimization Problems[J].Journal of Mathematical Research with Applications,2005,25(1):64-71. |
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| Authors: | WEI Zeng-xin and LI Qiao-xing |
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| Institution: | School of Math. Info. Sci.; Guangxi University; Nanning; China;College of Economics and Management; Nanjing University of Aeronautics and Astronautics; Jiangsu; China |
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| Abstract: | This paper presents a new class of quasi-Newton methods for solving unconstrained minimization problems. The methods can be regarded as a generalization of Huang class of quasi-Newton methods. We prove that the directions and the iterations generated by the methods of the new class depend only on the parameter p if the exact line searches are made in each steps. |
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| Keywords: | unconstrained optimization quasi-Newton equation quasi-Newton method |
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