| 一种新的带扰动项的算法的全局收敛性 |
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| 引用本文： | 李梅霞,籍法俊.一种新的带扰动项的算法的全局收敛性[J].应用数学,2008,21(1):213-218. |
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| 作者姓名： | 李梅霞 籍法俊 |
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| 作者单位： | 潍坊学院数学系,山东,潍坊,261061 |
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| 摘 要： | 在本文中,我们提出了一种新的带扰动项的三项记忆梯度混合投影算法.在这种方法中应用了广义Armijo线搜索,并且仅在梯度函数在包含迭代序列的开凸集上一致连续的条件下证明了该算法的全局收敛性.最后给出了几个数值算例.
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| 关 键 词： | 三项记忆梯度混合投影算法 扰动 全局收敛性 Three-term memory gradient hybrid projection method Perturbation Global convergence 扰动项 算法 全局收敛性 Perturbations Method Kind Convergence Numerical examples paper global convergence property case gradient function uniformly continuous open convex set containing iteration |
| 文章编号： | 1001-9847(2008)01-0213-06 |
| 修稿时间： | 2007年7月3日 |
Global Convergence of a New Kind of Method with Perturbations |
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| LI Mei-xia,JI Fa-jun.Global Convergence of a New Kind of Method with Perturbations[J].Mathematica Applicata,2008,21(1):213-218. |
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| Authors: | LI Mei-xia JI Fa-jun |
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| Abstract: | A new kind of method which is called threeterm memory gradient hybrid projection method with perturbations is proposed.And the generalized Armijo line search is used in this method.At the same time,global convergence property of the method is proved only in the case where the gradient function is uniformly continuous on an open convex set containing the iteration sequence.Numerical examples are given at the end of this paper. |
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| Keywords: | Three-term memory gradient hybrid projection method Perturbation Global convergence |
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