多集分裂等式可行性问题的逐次松弛投影算法
首发时间:2019-02-03
摘要:多集分裂等式可行性问题是分裂可行性问题的拓展形式,其在图像重建,信号处理,计算机射线断层术等实际问题中具有广泛的应用。本文提出了求解多集分裂等式可行性问题的逐次松弛投影算法,证明了算法的弱收敛性,并通过数值算例与其它算法进行比较,验证了本算法的可行性和有效性。
关键词: 多集分裂等式可行性问题 逐次松弛投影算法 收敛性
For information in English, please click here
Successive relaxed projection algorithm for multiple-sets split equality problem
Abstract:The multiple-sets split equality problem is an extended form of the split feasibility problem. It has a wide range of applications in image reconstruction, signal processing, computer ray tomography, and other practical problems. In this paper, a successive relaxation projection algorithm for solving the feasibility of multi-set splitting equations is proposed. The weak convergence of the algorithm is proved. The feasibility and effectiveness of the algorithm are verified by numerical examples and other algorithms.
Keywords: multiple-sets split equality problem successive relaxed projection algorithm convergence
引用
No.****
动态公开评议
共计0人参与
勘误表
多集分裂等式可行性问题的逐次松弛投影算法
评论
全部评论0/1000