Convergence Results of Landweber Iterations for Linear Systems  

作　　者：Gang-rong QU Ming JIANG Yuan-jian YANG 

机构地区：[1]School of Science,Beijing Jiaotong University [2]Beijing Center for Mathematics and Information Interdisciplinary Sciences [3]LMAM,School of Mathematical Sciences,Peking University

出　　处：《Acta Mathematicae Applicatae Sinica》2014年第1期111-118,共8页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(No.61071144,61271012,61121002,10990013)

摘　　要：The Landweber scheme is a method for algebraic image reconstructions. The convergence behavior of the Landweber scheme is of both theoretical and practical importance. Using the diagonalization of matrix, we derive a neat iterative representation formula for the Landweber schemes and consequently establish the convergence conditions of Landweber iteration. This work refines our previous convergence results on the Landweber scheme.The Landweber scheme is a method for algebraic image reconstructions. The convergence behavior of the Landweber scheme is of both theoretical and practical importance. Using the diagonalization of matrix, we derive a neat iterative representation formula for the Landweber schemes and consequently establish the convergence conditions of Landweber iteration. This work refines our previous convergence results on the Landweber scheme.

关 键 词：algebraic image reconstruction Landweber scheme weighted least-squares convergence conditions 

分 类 号：O153[理学—数学]