| 带误差项的下降算法的收敛性 |
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| 引用本文： | 王长钰,李梅霞.带误差项的下降算法的收敛性[J].数学进展,2007,36(2):231-238. |
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| 作者姓名： | 王长钰 李梅霞 |
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| 作者单位： | 1. 曲阜师范大学运筹与管理学院,曲阜,山东,273165
2. 潍坊学院数学系,潍坊,山东,261061 |
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| 摘 要： | 本文考虑了Solodov和Svaiter提出的带误差项的下降算法的收敛性．其重要特征是在收敛性的证明过程中没有应用梯度函数的Hlder连续性．因此,我们在较弱的条件下得到了该算法的收敛性结果．
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| 关 键 词： | 无约束最优化 下降算法 H(o)lder连续性 误差 |
| 文章编号： | 1000-0917（2007）02-0231-08 |
| 收稿时间： | 2004-12-13 |
| 修稿时间： | 2006-01-19 |
Convergence Properties of Descent Methods With Errors |
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| WANG Changyu,LI Meixia.Convergence Properties of Descent Methods With Errors[J].Advances in Mathematics,2007,36(2):231-238. |
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| Authors: | WANG Changyu LI Meixia |
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| Institution: | 1. Institute of Operations Research, Qufu Normal University, Qufu, Shandong, 273165, P. R. China;2. Department of Mathematics, Weifang University, Weifang, Shandong, 261061, P. R. China |
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| Abstract: | We consider the convergence properties of descent methods with errors proposed by Solodov and Svaiter. An important feature of this paper is that the Holder continuity of gradient function is not used in the proof of the convergence theorem. Therefore,we obtain the convergence results of these methods under mild conditions. |
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| Keywords: | unconstrained optimization descent method H(o)lder continuity error |
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