Landweber scheme for compact operator equation in Hilbert space and its applications

被引：6

作者：

Qu, Gangrong ^{[1
]}

Jiang, Ming ^{[2
]}

机构：

[1] Beijing Jiaotong Univ, Sch Sci, Beijing 100044, Peoples R China

[2] Peking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China

来源：

COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING | 2009年 / 25卷 / 06期

关键词：

linear compact operator; Landweber scheme; convergence conditions; X-ray tomography; extrapolation for band-limited signal; BAND-LIMITED EXTRAPOLATION; ANGLE TOMOGRAPHIC DATA; ITERATIVE ALGORITHMS; PROJECTIONS; INVERSION;

D O I：

10.1002/cnm.1196

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We study the Landweber scheme for linear compact operator equation in infinite Hilbert spaces. Using the singular value decomposition for compact operators, we obtain a formula for the Landweber scheme after n iterations and iterative truncated error and consequently establish its convergence conditions. Our results extend known results on convergence conditions. As applications, we apply the Landweber scheme to the X-ray tomography and extrapolation of band-limited functions, and establish accelerated strategies for each application. Copyright (C) 2008 John Wiley & Sons, Ltd.

引用

页码：771 / 786

页数：16

共 28 条

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