| 线性方程组l_1范数问题的松弛投影算法及其应用 |
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| 引用本文： | 屈彪,张文伟,于丽超.线性方程组l_1范数问题的松弛投影算法及其应用[J].运筹学学报,2017,21(2):57-65. |
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| 作者姓名： | 屈彪 张文伟 于丽超 |
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| 作者单位： | 1. 曲阜师范大学管理学院、运筹学研究所, 山东日照 276826 |
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| 基金项目： | 国家自然科学基金(No. 11271226) |
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| 摘 要： | 考虑线性方程组l_1范数问题的求解,在分别将其转化为一个分裂可行问题和凸可行问题的基础上,设计了几种松弛投影算法,然后将所设计的求解方法用于信号处理问题的求解上.
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| 关 键 词： | 线性方程组 l_1范数问题 松弛投影算法 |
| 收稿时间： | 2017-03-24 |
The relaxed projection methods for solving the l_1-norm problem of linear equations and their applications |
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| QU Biao,ZHANG Wenwei,YU Lichao.The relaxed projection methods for solving the l_1-norm problem of linear equations and their applications[J].OR Transactions,2017,21(2):57-65. |
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| Authors: | QU Biao ZHANG Wenwei YU Lichao |
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| Affiliation: | 1. Institute of Operations Research, School of Management, Qufu Normal University, Rizhao 276826, Shandong, China |
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| Abstract: | This paper discusses of the methods for solving the l_1-norm problem of linear equations. First, the problem is translated into a split feasibility problem and a convex feasibility problem, respectively. Then，some relaxed projection algorithms are presented. Finally, the new algorithms are applied to solve some signal processing problems. |
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| Keywords: | linear equations l_1-norm problem relaxed projection algorithm |
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