| 修正HS共轭梯度法在大规模信号重构问题中的应用 |
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| 引用本文： | 陈凤华,李双安.修正HS共轭梯度法在大规模信号重构问题中的应用[J].数学杂志,2016,36(6):1291-1298. |
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| 作者姓名： | 陈凤华 李双安 |
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| 作者单位： | 郑州工商学院公共基础教学部, 河南 郑州 451400,郑州工商学院公共基础教学部, 河南 郑州 451400 |
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| 基金项目： | 国家自然科学基金(11061011;11361018);河南省高等学校重点科研项目(17A110032);河南省教育厅科学技术研究重点项目(12B110011). |
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| 摘 要： | 本义研究了压缩感知在大规模信号恢复问题中应用的问题.利用修正HS共轭梯度法及光滑化方法,获得了具有较好重构效果的算法.数值实验表明用修正HS共轭梯度法解决大规模信号恢复问题是可行的.
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| 关 键 词： | 压缩感知 修正HS共轭梯度法 稀疏信号 Nesterov光滑技术 |
| 收稿时间： | 2015/12/16 0:00:00 |
| 修稿时间： | 2016/4/15 0:00:00 |
THE APPLICATION OF A MODIFIED HS CONJUGATE GRADIENT METHOD FOR LARGE-SCALE SIGNAL RECONSTRUCTION PROBLEM |
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| CHEN Feng-hua and LI Shuang-an.THE APPLICATION OF A MODIFIED HS CONJUGATE GRADIENT METHOD FOR LARGE-SCALE SIGNAL RECONSTRUCTION PROBLEM[J].Journal of Mathematics,2016,36(6):1291-1298. |
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| Authors: | CHEN Feng-hua and LI Shuang-an |
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| Institution: | Teaching Department of the Public Infrastructure, Zhengzhou Technology and Business University, Zhengzhou 451400, China and Teaching Department of the Public Infrastructure, Zhengzhou Technology and Business University, Zhengzhou 451400, China |
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| Abstract: | In this paper we study application about the compressed sensing in large-scale signal recovery problem. By the modified HS conjugate gradient method and smoothing technique, the algorithm which possesses better reconstruction effect is obtained. Preliminary numerical results show that our algorithm is suitable for solving large-scale sparse signal recovery problems. |
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| Keywords: | compressed sensing modified HS conjugate gradient method sparse signal Nesterov''s smoothing technique |
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