| 一类新的光滑函数及求解非线性互补问题的光滑牛顿算法 |
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| 引用本文： | 李杰,;李梅霞,;刘丽娟.一类新的光滑函数及求解非线性互补问题的光滑牛顿算法[J].潍坊学院学报,2014(6):8-12. |
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| 作者姓名： | 李杰 ;李梅霞 ;刘丽娟 |
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| 作者单位： | [1]山东科技大学,山东青岛266590; [2]潍坊学院,山东潍坊261061; [3]潍坊第一中学,山东潍坊261205 |
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| 摘 要： | 本文构造了非线性互补问题的一类新的光滑函数,利用新的光滑函数将非线性互补问题转化为非线性方程组。然后提出了求解一般非线性互补问题的光滑化牛顿算法,并且证明了算法的全局和局部收敛性。
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| 关 键 词： | 非线性互补问题 光滑牛顿算法 全局收敛性 |
A Family of New Smoothing Functions and a Smoothing Newton Method for the Nonlinear Complementarity Problem |
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| Institution: | LI Jie,LI Mei-xia,LIU Li-juan(1. Shandong University of Science and Technology, Qingdao 266590, China; 2. Weifang University, Weifang 261061, China; 3. Weifang First Middle School, Weifang 261205, China) |
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| Abstract: | In this paper, we introduce a family of new smoothing functions. Based on a family of new smoothing functions, the nonlinear complementary problem is transformed into a nonlinear equations. The Newton algorithm is presented for solving the nonlinear complementarity problems. Under mild assumptions, we prove that the Newton algorithm is both globally and locally convergent. |
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| Keywords: | nonlinear complementarity problem the Newton algorithm globally convergence |
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