一种在紧框架下求解Analysis Dantzig-selector模型的快速算法  

A Fast Algorithm for Solving Analysis Dantzig-selector Model under Tight Frame

作　　者：宋儒瑛[1] 张春晓 SONG Ruying;ZHANG Chunxiao(Department of Mathematics,Taiyuan Normal University,Shanxi 030619,China)

机构地区：[1]太原师范学院数学系,山西晋中030619

出　　处：《中央民族大学学报（自然科学版）》2021年第1期5-9,共5页Journal of Minzu University of China(Natural Sciences Edition)

摘　　要：Analysis Dantzig-selector模型是基于经典Dantzig-selector的l_(∞)限制的l_(1)分析模型。本文使用了紧框架下求解此模型的线性化交替方向乘子法,使得每个子问题都有显式解析解,并通过数值实验证明了该方法的有效可行性。The Analysis Dantzig-selector model is a l_(∞) restricted l_(1) analysis model based on the classical Dantzig-selector model.In this paper,a linearized alternating direction multiplier method is used to solve this model under a tight framework,so that each subproblem has an explicit analytical solution.Numerical experiments show that this method is effective and feasible.

关 键 词：交替方向乘子法 Analysis Dantzig-selector模型 Dantzig-selector模型 线性化 紧框架 

分 类 号：O221[理学—运筹学与控制论]