预估校正法在大规模信号重构问题中的应用  

The Application of a Predictor-Corrector Method for Large-Scale Signal Reconstruction Problem

作　　者：陈凤华 李双安 

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：《应用数学》2017年第3期547-555,共9页Mathematica Applicata

基　　金：国家自然科学基金(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：本文研究预估校正法在大规模信号重构中的应用问题.利用预估校正方法解?_1正则化最小二乘问题,获得了理想的信号恢复效果.数值实验表明提出的算法对于解决大规模稀疏信号恢复问题是有效的.In this paper, the application of a predictor-corrector method for large-scale signal reconstruction problem is studied. By the predictor-corrector algorithm to solve ？_1-regularized least-squares programs, a desired result has been taken in signal recovery process. Numerical experiment shows that our algorithm is effective and suitable for solving large-scale sparse signal recovery problems.

关 键 词：预估校正 同伦方程 稀疏信号 l_(1)范数正则化 

分 类 号：O221.1[理学—运筹学与控制论]