| The uv-Decomposition on a Class of D.C. Functions and Optimality Conditions |
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| 作者姓名： | Wei Wang Li-Ping Pang Zun-Quan Xia |
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| 作者单位： | Wei Wang School of Mathematics，Liaoning Normal University，Dalian 116029，ChinaLi-Ping Pang Department of Physics，Dalian University of Technologe，Dalian 116024，China.Zun-Quan Xia Department of Applied Mathematics，Dalian University of Technology，Dalian 116024，China |
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| 基金项目： | Supported by the Foundations of Ph.D, Units, the Ministry of Education （20020141013） and National Natural Science Foundation of China （No.10001007）, |
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| 摘 要： | In this paper,the UV-theory and P-differential calculus are employed to study second-order ex-pansion of a class of D.C.functions and minimization problems.Under certain conditions,some properties ofthe U-Lagrangian,the second-order expansion of this class of functions along some trajectories are formulated.Some first and second order optimality conditions for the class of D.C.optimization problems are given.
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| 关 键 词： | 非线性规划 非光滑最优化 最优性条件 uv-分解 D.C.最优化 |
| 修稿时间： | 2004-02-042006-06-16 |
The $$
{\user1{\mathcal{U}\mathcal{V}}}
$$-Decomposition on a Class of D.C. Functions and Optimality Conditions |
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| Wei Wang Li-Ping Pang Zun-Quan Xia.The uv-Decomposition on a Class of D.C. Functions and Optimality Conditions[J].Acta Mathematicae Applicatae Sinica,2007,23(1):29-38. |
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| Authors: | Wei Wang Li-Ping Pang Zun-Quan Xia |
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| Affiliation: | (1) School of Mathematics, Liaoning Normal University, Dalian 116029, China;(2) Department of Physics, Dalian University of Technologe, Dalian 116024, China;(3) Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China |
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| Abstract: | In this paper,the UV-theory and P-differential calculus are employed to study second-order ex- pansion of a class of D.C.functions and minimization problems.Under certain conditions,some properties of the U-Lagrangian,the second-order expansion of this class of functions along some trajectories are formulated. Some first and second order optimality conditions for the class of D.C.optimization problems are given. |
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| Keywords: | Nonlinear programming nonsmooth optimization optimality condition UV-decomposition D C optimization |
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