کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4634603 | 1340696 | 2008 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The quadratic convergence of a smoothing Levenberg-Marquardt method for nonlinear complementarity problem
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: The quadratic convergence of a smoothing Levenberg-Marquardt method for nonlinear complementarity problem The quadratic convergence of a smoothing Levenberg-Marquardt method for nonlinear complementarity problem](/preview/png/4634603.png)
چکیده انگلیسی
The nonlinear complementarity problem (denoted by NCP(F)) can be reformulated as the solution of a possibly inconsistent nonsmooth system of equations. Based on the ideas developed in smoothing Newton methods, we approximated the problem of the least l2-norm solution of the equivalent nonsmooth equations of NCP(F) with a family of parameterized optimization problem with twice continuously differentiable objective functions by making use of a new smoothing function. Then we presented a smoothing Levenberg-Marquardt method to solve the parameterized smooth optimization problem. By using the smooth and semismooth technique, the local quadratic convergence of the proposed method is proved under some suitable assumptions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 197, Issue 2, 1 April 2008, Pages 566-581
Journal: Applied Mathematics and Computation - Volume 197, Issue 2, 1 April 2008, Pages 566-581
نویسندگان
Changfeng Ma, Jia Tang,