摘要
主要研究了分裂可行问题的1-范数正则化.首先利用1-范数正则化方法,将分裂可行问题转化为无约束优化问题.其次讨论了1-范数正则化解的若干性质,并给出了求解1-范数正则化解的邻近梯度算法.最后通过数值试验验证了算法的可行性和有效性.
In this paper,we mainly study the 1-norm regularization of the split feasibility problem.Firstly,the split feasibility problem is transformed into unconstrained optimization problem by using the 1-norm regularization method.Secondly,some properties of 1-norm regularization solution are discussed,and the proximal gradient algorithm for solving 1-norm regularization solution is given.Finally,the feasibility and effectiveness of the proposed algorithm are verified by numerical experiments.
作者
于海
詹婉荣
YU Hai;ZHAN Wan-rong(School of Mathematical Sciences,Luoyang Normal University,Luoyang 471934,China)
出处
《数学的实践与认识》
2022年第11期180-188,共9页
Mathematics in Practice and Theory
基金
国家自然科学基金(11971216,62072222)
河南省高等学校重点科研项目(20A110029)。
关键词
分裂可行问题
正则化
邻近梯度算法
稀疏
split feasibility problem
regularization
proximal gradient algorithm
sparse
