巴拿赫空间中Landweber迭代算法的收敛性
PDF下载 (328)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),2016,29(2):85-88.DOI:
DU Ling-ling,WANG Jin-ping *.Convergence Analysis on Landweber Iterative Algorithm in Banach Spaces[J].Journal of Ningbo University(Natural Science & Engineering Edition),2016,29(2):85-88.DOI:
| Title: | Convergence Analysis on Landweber Iterative Algorithm in Banach Spaces |
| 作者: | 杜玲玲, 王金平 * |
| Author(s): | DU Ling-ling, WANG Jin-ping * |
| 关键词: | Banach空间; Bregman距离; 非线性Landweber迭代算法; 对偶映射 |
| Keywords: | Banach spaces; Bregman distance; nonlinear Landweber algorithm; duality mapping |
| 分类号: | O177.6; O175.5 |
| 文献标识码: | A |
| 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. |
| 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. |
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| 备注/Memo: | 收稿日期: 2015－07－21. 宁波大学学报（理工版）网址: http://journallg.nbu.edu.cn/基金项目: 国家自然科学基金（61271398）.第一作者: 杜玲玲（1990－）, 女, 河南鹤壁人, 在读硕士研究生, 主要研究方向: 积分变换与图像处理. E-mail: xinghongling@163.com*通信作者: 王金平（1962－）, 男, 湖北武汉人, 教授, 主要研究方向: 积分变换与图像处理. E-mail: wangjinping@nbu.edu.cn 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
