| 求解广义线性互补问题的光滑牛顿法(英文) |
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| 引用本文： | 唐嘉,马昌凤.求解广义线性互补问题的光滑牛顿法(英文)[J].数学季刊,2012(3):439-446. |
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| 作者姓名： | 唐嘉 马昌凤 |
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| 作者单位： | School of Mathematics and Computer Science, Fujian Normal University |
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| 基金项目： | Supported by the NNSF of China(11071041, 11171257) |
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| 摘 要： | The extended linear complementarity problem(denoted by ELCP) can be reformulated as the solution of a nonsmooth system of equations. By the symmetrically perturbed CHKS smoothing function, the ELCP is approximated by a family of parameterized smooth equations. A one-step smoothing Newton method is designed for solving the ELCP. The proposed algorithm is proved to be globally convergent under suitable assumptions.
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| 关 键 词： | extended linear complementarity problem smoothing Newton method global convergence |
The Smoothing Newton Method for Solving the Extended Linear Complementarity Problem |
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| TANG Jia, MA Chang-feng.The Smoothing Newton Method for Solving the Extended Linear Complementarity Problem[J].Chinese Quarterly Journal of Mathematics,2012(3):439-446. |
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| Authors: | TANG Jia MA Chang-feng |
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| Institution: | (School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, China) |
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