| 引用本文： |
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陈进来,高苏銮,韦增欣.梯度相关条件下求解非线性规划问题算法的收敛性[J].广西科学,2011,18(1):39-43. [点击复制]
- CHEN Jin-lai,GAO Su-luan,WEI Zeng-xin.Convergence of Some Algorithms under the Condition of Gradient Correlation[J].Guangxi Sciences,2011,18(1):39-43. [点击复制]
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| 摘要: |
| 证明在梯度相关的条件下,一般的求解非线性规划问题算法的收敛性定理在θk=〈-▽f(xk),dk〉无需满足其它任何条件的前提下仍然成立. |
| 关键词: 线搜索 梯度相关 收敛性 |
| DOI： |
| 投稿时间：2010-06-09 |
| 基金项目:国家自然科学基金项目(10761001)资助 |
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| Convergence of Some Algorithms under the Condition of Gradient Correlation |
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CHEN Jin-lai, GAO Su-luan, WEI Zeng-xin
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| (College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, China) |
| Abstract: |
| We prove that the convergence theorems of general algorithms for solving nonlinear programming problems hold under the condition of gradient correlation, meanwhile θk=〈-▽f (xk), dk〉 does not satisfy any condition. |
| Key words: line search gradient correlation convergence |
