| 高斯牛顿算法在求解广义互补问题中的应用 |
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| 引用本文： | 程秀兰.高斯牛顿算法在求解广义互补问题中的应用[J].枣庄师专学报,2006,23(5):20-23. |
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| 作者姓名： | 程秀兰 |
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| 作者单位： | 潍坊医学院公开教学部数学教研室 山东潍坊261042 |
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| 摘 要： | 本文将广义互补问题转化为一个非线性方程组问题,然后建立了GCP问题的无约束优化问题的转化形式,对该优化问题,用两种步长下的阻尼高斯牛顿算法来求解,并给出了两种情况下算法的全局收敛性.
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| 关 键 词： | 广义互补问题 非线性方程组 阻尼高斯牛顿算法 全局收敛性 |
| 文章编号： | 1004-7077（2006）05-0020-04 |
| 收稿时间： | 2006-04-18 |
| 修稿时间： | 2006年4月18日 |
The Using of Gauss-Newton Methods for sovling Complementarity Problem |
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| CHENG Xiu-lan.The Using of Gauss-Newton Methods for sovling Complementarity Problem[J].Journal of Zaozhuang Teachers' College,2006,23(5):20-23. |
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| Authors: | CHENG Xiu-lan |
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| Institution: | Public Education Department of Weifang Medical College, Weifang 261042, China |
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| Abstract: | In this paper we reformulate GCP a sasystem of nonlinear equations,and the GCP is reformulated as unconstrained optimization problem,as for the optimization problem,the damped Gauss-Newton Method algorithm of two kinds of steps is employed for obtaining its solution,and the global convergence analysis are given in this thesis. |
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| Keywords: | GCP nonlinear system of equations Damped Gauss-Newton algorithm global convergence |
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