| 广义非线性互补问题的高斯牛顿算法的收敛性 |
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| 引用本文： | 程秀兰.广义非线性互补问题的高斯牛顿算法的收敛性[J].临沂师范学院学报,2006,28(3):29-31. |
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| 作者姓名： | 程秀兰 |
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| 作者单位： | 潍坊医学院,公共教学部,山东,潍坊,261042 |
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| 摘 要： | 首先将定义在闭凸多面锥上的广义互补问题转化为一个等价的非线性方程组,然后利用阻尼高斯牛顿算法来求解该非线性方程组．并在适当条件下证明了算法的全局收敛性．
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| 关 键 词： | 广义非线性互补问题 非线性方程组 高斯牛顿算法 全局收敛性 |
| 文章编号： | 1009-6051（2006）03-0029-03 |
| 收稿时间： | 2006-01-12 |
| 修稿时间： | 2006-01-12 |
The Convergence of Gauss-Newton Methods for Nonlinear Complementarity Problem |
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| CHENG Xiu-lan.The Convergence of Gauss-Newton Methods for Nonlinear Complementarity Problem[J].Journal of Linyi Teachers' College,2006,28(3):29-31. |
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| Authors: | CHENG Xiu-lan |
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| Institution: | Public education department of Weifang Medical College,Weifang Shandong 281042 ,China |
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| Abstract: | First we reformulate GNCP defined on a polyhedral cone as a system of nonlinear equations, based on which the damped Gauss-Newton Method algorithm is employed for obtaining its solution, and the global convergence analysis are given in this thesis. |
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| Keywords: | GNCP nonlinear system of equations Gauss-Newton algorithm global convergence |
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