A Note on Approximating Curve with 1-Norm Regularization Method for the Split Feasibility Problem

被引:5
作者
He, Songnian [1 ,2 ]
Zhu, Wenlong [1 ,2 ]
机构
[1] Civil Aviat Univ China, Coll Sci, Tianjin 300300, Peoples R China
[2] Civil Aviat Univ China, Tianjin Key Lab Adv Signal Proc, Tianjin 300300, Peoples R China
关键词
CQ ALGORITHM;
D O I
10.1155/2012/683890
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Inspired by the very recent results of Wang and Xu (2010), we study properties of the approximating curve with 1-norm regularization method for the split feasibility problem (SFP). The concept of the minimum-norm solution set of SFP in the sense of 1-norm is proposed, and the relationship between the approximating curve and the minimum-norm solution set is obtained.
引用
收藏
页数:10
相关论文
共 20 条
[1]  
Aubin J.P., 1993, GRADUATE TEXTS MATH, V140
[3]   A unified treatment of some iterative algorithms in signal processing and image reconstruction [J].
Byrne, C .
INVERSE PROBLEMS, 2004, 20 (01) :103-120
[4]  
Censor Y., 1994, Numerical Algorithms, V8, P221, DOI DOI 10.1007/BF02142692
[5]   Model Updating for Spectral Calibration Maintenance and Transfer Using 1-Norm Variants of Tikhonov Regularization [J].
Kunz, M. Ross ;
Kalivas, John H. ;
Andries, Erik .
ANALYTICAL CHEMISTRY, 2010, 82 (09) :3642-3649
[6]  
Nan XF, 2010, IEEE INT C BIOINFORM, P520, DOI 10.1109/BIBM.2010.5706621
[7]  
Neubauer A, 1996, MATH ITS APPL DORDRE
[8]   1-Norm-based regularization scheme for system identification of structures with discontinuous system parameters [J].
Park, Hyun Woo ;
Park, Man Woo ;
Ahn, Byeong Kyu ;
Lee, Hae Sung .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2007, 69 (03) :504-523
[9]   A note on the CQ algorithm for the split feasibility problem [J].
Qu, B ;
Xiu, NH .
INVERSE PROBLEMS, 2005, 21 (05) :1655-1665
[10]   Approximating Curve and Strong Convergence of the CQ Algorithm for the Split Feasibility Problem [J].
Wang, Fenghui ;
Xu, Hong-Kun .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2010,