| 伪Newton-B族算法对一般目标函数的收敛性 |
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| 引用本文： | 张华,焦宝聪.伪Newton-B族算法对一般目标函数的收敛性[J].湖南文理学院学报(自然科学版),2007,19(3):16-17. |
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| 作者姓名： | 张华 焦宝聪 |
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| 作者单位： | 首都师范大学数学科学学院，首都师范大学数学科学学院 北京100037，湖南文理学院数学系，湖南常德415000，北京100037 |
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| 摘 要： | 针对无约束优化问题,将Goldstein非精确线搜索技术引入伪Newton-B族算法.在假设目标函数f(x)二阶连续可微有下界,水平集L={x|f(x)≤f(x(1))}有界的条件下,证明该算法对一般目标函数的全局收敛性,得到一个条件更弱的结论.
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| 关 键 词： | 无约束最优化 伪Newton-B族算法 Goldstein非精确线搜索 全局收敛性 |
| 文章编号： | 1672-6146（2007）03-0016-02 |
| 修稿时间： | 2007-01-06 |
Global Convergence of the Pseudo-newton-B Class Methods for General Objective Functions |
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| ZHANG Hua,JIAO Bao-cong.Global Convergence of the Pseudo-newton-B Class Methods for General Objective Functions[J].Journal of Hunan University of Arts and Science:Natural Science Edition,2007,19(3):16-17. |
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| Authors: | ZHANG Hua JIAO Bao-cong |
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| Institution: | 1. School of Mathematical Sciences, Capital Normal University, Beijing, 100037; 2. Department of Mathematics, Hunan University of Arts and Science, Changde Hunan, 415000 |
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| Abstract: | The Pesudo-Newton-B class methods with inexact line searches(Goldstein rule) for unconstrained optimization.These methods are globally convergent when applied to a general objective function under the weak condition. |
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| Keywords: | unconstrained optimization Pesudo-Newton-B class methods Goldstein rule global convergency |
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