| 巴拿赫空间中Landweber迭代算法的收敛性 |
| |
| 引用本文： | 杜玲玲 王金平.巴拿赫空间中Landweber迭代算法的收敛性[J].宁波大学学报(理工版),2016,0(2):85-88. |
| |
| 作者姓名： | 杜玲玲 王金平 |
| |
| 作者单位： | 宁波大学 理学院, 浙江 宁波 315212 |
| |
| 摘 要： | 为了得到可逆问题的近似解, 在Banach空间中引入Bregman距离, 构造迭代步长, 得到Bregman距离序列在迭代中单调递减的性质. 然后利用非线性Landweber迭代算法, 证明了该算法的收敛性.
|
| 关 键 词： | Banach空间 Bregman距离 非线性Landweber迭代算法 对偶映射 |
Convergence Analysis on Landweber Iterative Algorithm in Banach Spaces |
| |
| DU Ling-ling,WANG Jin-ping.Convergence Analysis on Landweber Iterative Algorithm in Banach Spaces[J].Journal of Ningbo University(Natural Science and Engineering Edition),2016,0(2):85-88. |
| |
| Authors: | DU Ling-ling WANG Jin-ping |
| |
| Institution: | Faculty of Science, Ningbo University, Ningbo 315211, China |
| |
| Abstract: | In order to obtain the approximate solution of inverse problem, we introduce the first definition of Bregman distance followed by constructing the itertive step. In this work, that the sequence of Bregman distance is monotone decreasing is derived. Then using the nonlinear Landweber iterative algorithm, the convergence of the iterative algorithm is proved in theory and the inverse problem is solved as a result. |
| |
| Keywords: | Banach spaces Bregman distance nonlinear Landweber algorithm duality mapping |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《宁波大学学报(理工版)》浏览原始摘要信息 |
| 点击此处可从《宁波大学学报(理工版)》下载免费的PDF全文 |
