| 引用本文： |
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韦增欣,武小平,赵岩.无约束优化中新的共轭梯度方法[J].广西科学,2005,12(4):276-281. [点击复制]
- Wei Zengxin,Wu Xiaoping,Zhao Yan.A New Conjugate Gradient Method for Unconstrained Optimization[J].Guangxi Sciences,2005,12(4):276-281. [点击复制]
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| 摘要: |
| 提出一个新的解决无约束最优化问题的非线性共轭梯度公式,该公式满足充分下降条件,采用这个公式和弱Wolfe条件的方法是全局收敛的.初始的数值结果表明,该方法是有前景的. |
| 关键词: 无约束优化 共轭梯度 Wolfe线搜索 充分下降性 全局收敛性 |
| DOI： |
| 投稿时间：2004-12-30 |
| 基金项目:国家自然科学基金(10161002)和广西自然科学基金(0542043)资助。 |
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| A New Conjugate Gradient Method for Unconstrained Optimization |
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Wei Zengxin, Wu Xiaoping, Zhao Yan
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| (College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, China) |
| Abstract: |
| A new nonlinear conjugate gradient formula for solving unconstrained optimization problem is proposed.The formula satisfies the sufficient descent condition,and the method in which the proposed formula and the weak Wolfe conditions are used is global convergence.Preliminary numerical results show that the method is promising. |
| Key words: unconstrained optimization conjugate gradient Wolfe line search sufficient descent property global convergence |
