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Convergence Results of Landweber Iterations for Linear Systems

Convergence Results of Landweber Iterations for Linear Systems
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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.
作者 Gang-rong QU Ming JIANG Yuan-jian YANG
机构地区 School of Science Beijing Center for Mathematics and Information Interdisciplinary Sciences LMAM
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 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)
关键词 algebraic image reconstruction Landweber scheme weighted least-squares convergence conditions algebraic image reconstruction Landweber scheme weighted least-squares convergence conditions
分类号 O153 [理学—基础数学]
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参考文献17

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Acta Mathematicae Applicatae Sinica
2014年 第1期

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