修正HS共轭梯度法在大规模信号重构问题中的应用  

THE APPLICATION OF A MODIFIED HS CONJUGATE GRADIENT METHOD FOR LARGE-SCALE SIGNAL RECONSTRUCTION PROBLEM

作　　者：陈凤华 李双安 CHEN Feng-hua LI Shuang-an(Teaching Department of the Public Infrastructure, Zhengzhou Technology and Business University, Zhengzhou 451400, China)

机构地区：[1]郑州工商学院公共基础教学部,河南郑州451400

出　　处：《数学杂志》2016年第6期1291-1298,共8页Journal of Mathematics

基　　金：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)

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.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.

关 键 词：压缩感知 修正HS共轭梯度法 稀疏信号 Nesterov光滑技术 

分 类 号：O221.1[理学—运筹学与控制论]