%0 Journal Article %T 带1-范数约束的分裂可行问题的投影算法<br>PROJECTION ALGORITHMS FOR THE SOLUTION OF SPLIT FEASIBILITY PROBLEM WITH 1-NORM CONSTRAINTS %A 作者 %A 畅含笑 %A 屈彪 %J 数学杂志 %D 2017 %X 本文主要研究带1-范数约束的分裂可行问题的求解算法.用一种交替投影算法,求得了问题的解,提出松弛交替投影算法,改进了直接往闭凸集上投影这一不足,并证明了该算法的收敛性.<br>In this paper, we mainly study the solution algorithm of the split feasibility problem subject to 1-norm constraints. By using the alternating projections algorithm, we solve the problem successfully and propose a relaxed alternating projections algorithm which improves the shortage of projecting directly onto the closed convex set. And we obtain the convergence of this algorithm %K 分裂可行问题 1-范数约束 交替投影 松弛< %K br> %K split feasible problem 1-norm constraints alternating projections relaxed %U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20170616&flag=1