摘要
针对分裂可行性问题,在自适应步长球松弛CQ算法基础上引入惯性项,加快算法的收敛速度;同时,利用Halpern迭代格式调整算法,并证明算法在无限维Hilbert空间中强收敛。
Aiming at the split feasibility problem,an inertial term is added into the ball-relaxed CQ algorithm with self-adaptive stepsize in order to accelerate the convergence rate.Meanwhile,the algorithm is adjusted according to Halpern iteration structure.Finally,strong convergence of the current algorithm is proved in infinite-dimensional Hilbert space.
作者
张雅轩
张亚龙
ZHANG Yaxuan;ZHANG Yalong(College of Science,CAUC,Tianjin 300300,China)
出处
《中国民航大学学报》
CAS
2020年第6期61-64,共4页
Journal of Civil Aviation University of China
基金
国家自然科学基金青年科学基金项目(61503385)
中央高校基本科研业务费专项(3122018L004)。
关键词
分裂可行性问题
CQ算法
球松弛
惯性
自适应步长
split feasibility problem
CQ algorithm
ball-relaxed
inertia
self-adaptive stepsize