A Regularized Randomized Kaczmarz Algorithm for Large Discrete Ill-Posed Problems

作     者：LIU Fengming WANG Zhengsheng YANG Siyu XU Guili 刘凤鸣;王正盛;杨思雨;徐贵力

作者机构：College of ScienceNanjing University of Aeronautics and AstronauticsNanjing 211106P.R.China College of Automation EngineeringNanjing University of Aeronautics and AstronauticsNanjing 211106P.R.China 

出 版 物：《Transactions of Nanjing University of Aeronautics and Astronautics》 (南京航空航天大学学报（英文版）)

年 卷 期：2020年第37卷第5期

页      面：787-795页

核心收录：

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：supported by the National Natural Science Foundations of China(Nos.11571171 62073161 and 61473148) 

主　　题：ill-posed problem Tikhonov regularization randomized extended Kaczmarz(REK)algorithm image restoration 

摘      要：Tikhonov regularization is a powerful tool for solving linear discrete ill-posed ***,effective methods for dealing with large-scale ill-posed problems are still *** Kaczmarz method is an effective iterative projection algorithm for solving large linear equations due to its *** propose a regularized randomized extended Kaczmarz(RREK)algorithm for solving large discrete ill-posed problems via combining the Tikhonov regularization and the randomized Kaczmarz *** convergence of the algorithm is *** experiments illustrate that the proposed algorithm has higher accuracy and better image restoration quality compared with the existing randomized extended Kaczmarz(REK)method.