| NEW SIMPLE SMOOTH MERIT FUNCTION FOR BOX CONSTRAINED VARIATIONAL INEQUALITIES AND DAMPED NEWTON TYPE METHOD |
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| 作者姓名： | Ulji |
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| 作者单位： | Department of Mathematics，College of Science and Technology，Inner Mongolia University，Department of Mathematics，College of Science and Technology，Inner Mongolia University Hohhot 010021，P.R.China，Hohhot 010021，P.R.China |
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| 基金项目： | Project supported by the Teaching and Research Award Program for the 0utstanding Young Teachers in Higher Education Institutes of Munistry of Education, P. R. China |
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| 摘 要： | IntroductionLetX Rn,F:X→Rnbe given, the variational inequality, denoted byVI(X,F),is tofind a vectorx∈ Xsuch thatF(x)T(y-x)≥0, y∈ X. (1)DenoteN∶={1,2,…,n},whenX =a,b]∶={x∈Rn|ai≤xi≤bi,i∈N},theVI(X,F)is called the box constrained variational ine
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| 关 键 词： | 强变化不等式 球形收敛 超线性收敛 二次方程 有限元分析 |
| 文章编号： | 0253-4827（2005）08-1083-10 |
| 收稿时间： | 2003-10-08 |
| 修稿时间： | 2005-03-10 |
New simple smooth merit function for box constrained variational inequalities and damped Newton type method |
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| Ulji,Chen Guo-qing.NEW SIMPLE SMOOTH MERIT FUNCTION FOR BOX CONSTRAINED VARIATIONAL INEQUALITIES AND DAMPED NEWTON TYPE METHOD[J].Applied Mathematics and Mechanics(English Edition),2005,26(8):1083-1092. |
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| Authors: | Ulji Chen Guo-qing |
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| Institution: | Department of Mathematics, College of Science and Technology, Inner Mongolia University, Hohhot 010021, P. R. China |
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| Abstract: | By introducing a smooth merit function for the median function, a new smooth merit function for box constrained variational inequalities (BVIs) was constructed. The function is simple and has some good differential properties. A damped Newton type method was presented based on it.Global and local superlinear/quadratic convergence results were obtained under mild conditions, and the finite termination property was also shown for the linear BVIs. Numerical results suggest that the method is efficient and promising. |
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| Keywords: | box constrained variational inequalities global convergence local superlinear or quadratic convergence finite termination property |
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