| 解奇异非光滑方程组的牛顿法和不精确牛顿法 |
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| 引用本文： | 高冬梅,高岩.解奇异非光滑方程组的牛顿法和不精确牛顿法[J].应用数学,2002,15(4):57-61. |
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| 作者姓名： | 高冬梅 高岩 |
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| 作者单位： | 1. 中国矿业大学北京校区基础科学系,北京,100083
2. 上海理工大学管理学院,上海,200093 |
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| 摘 要： | 本文主要解决奇异非光滑方程组的解法。应用一种新的次微分的外逆，我们提出了牛顿法和不精确牛顿法，它们的收敛性同时也得到了证明。这种方法能更容易在一引起实际应用中实现。这种方法可以看作是已存在的解非光滑方程组的方法的延伸。
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| 关 键 词： | 奇异非光滑方程组 牛顿法 不精确牛顿法 外逆 |
Newton Method and Inexact-newton Method for Solving Singular Nonsmooth Equations |
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| GAO Dong-mei,GAO Yan.Newton Method and Inexact-newton Method for Solving Singular Nonsmooth Equations[J].Mathematica Applicata,2002,15(4):57-61. |
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| Authors: | GAO Dong-mei GAO Yan |
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| Abstract: | This paper is devoted to solving singular nonsmooth equations.Using an outer inverse of new subdifferential,Newton method and inexact-Newton method are proposed.Their convergence is proved.The present method can be more easily performed in some applications than the previous ones.Our methods could be viewed as the extensions of existing methods for solving nonsmooth equations. |
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| Keywords: | Nonsmooth equations Newton method Inexact-Newton method Outer inverse |
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