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| 非光滑方程的方向牛顿法 | |
| 引用本文： | 戴怡文,寇继生,王秀花. 非光滑方程的方向牛顿法[J]. 应用数学与计算数学学报, 2010, 24(1): 107-112 |
| 作者姓名： | 戴怡文 寇继生 王秀花 |
| 作者单位： | 1. 上海大学数学系,上海,200444;上海医药高等专科学校基础部数理组,上海,201318 2. 上海大学数学系,上海,200444 3. 上海大学数学系,上海,200444;孝感学院数学系,湖北孝感,432100 |
| 基金项目： | 国家自然科学基金项目，上海市重点学科项目，上海市教委重点学科建设项目 |
| 摘 要： | 通过引入广义梯度,将求解含n个未知量方程的方向牛顿法推广到非光滑的情形.证明了该方法在半光滑条件下的收敛性定理,给出了解的存在性以及先验误差界. |
| 关 键 词： | 方向牛顿法 非光滑方程 收敛性 |
| 收稿时间： | 2009-09-10 |
Directional Newton Method for Nonsmooth Equations Between Two Coupled Networks |
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| Dai Yiwen,Kou Jisheng,Wang Xiuhua. Directional Newton Method for Nonsmooth Equations Between Two Coupled Networks[J]. Communication on Applied Mathematics and Computation, 2010, 24(1): 107-112 | |
| Authors: | Dai Yiwen Kou Jisheng Wang Xiuhua |
| Affiliation: | 1.Department of Mathematics, Shanghai University, Shanghai 200444, China 2.Group of Mathematics and Physics, Department of Basic Courses, Shanghai Institute of Health Sciences, Shanghai 201318, China 3.Department of Mathematics, Xiaogan University, Xiaogan 432100, Hubei, China |
| Abstract: | The directional Newton method for solving a single equation in several unknowns is extended to the nonsmooth case by using the generalized gradient instead of usual gradient. The convergence theorems are proved under the condition of semismoothness. |
| Keywords: | directional Newton method nonsmooth equations convergence |
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