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	Landweber scheme for compact operator equation in Hilbert space and its applications
	Qu, Gangrong ; Jiang, Ming
	2009
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
英文摘要	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.; Engineering, Multidisciplinary; Mathematics, Interdisciplinary Applications; SCI(E); EI; 3; ARTICLE; 6; 771-786; 25
语种	英语
出处	SCI ; EI
出版者	communications in numerical methods in engineering
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/245739]
专题	数学科学学院
推荐引用方式 GB/T 7714	Qu, Gangrong,Jiang, Ming. Landweber scheme for compact operator equation in Hilbert space and its applications. 2009-01-01.

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