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	THE ORDER OF CONVERGENCE FOR LANDWEBER SCHEME WITH alpha,beta-RULE
	Wang, Caifang ; Zhou, Tie
	2012
关键词	Landweber scheme relaxation coefficient stopping criterion order of convergence IMAGE-RECONSTRUCTION ALGORITHMS ITERATIVE ALGORITHMS TOMOGRAPHY
英文摘要	The Landweber scheme is widely used in various image reconstruction problems. In previous works, alpha,beta-rule is suggested to stop the Landweber iteration so as to get proper iteration results. The order of convergence of discrepancy principal (DP rule), which is a special case of alpha, beta-rule, with constant relaxation coefficient lambda satisfying 0 < lambda sigma(2)(1) < 1, (parallel to A parallel to(V,W) = sigma(1) > 0) has been studied. A sufficient condition for convergence of Landweber scheme is that the value lambda(m)sigma(2)(1) should be lied in a closed interval, i.e. 0 < epsilon <= lambda(m)sigma(2)(1) <= 2 - epsilon, (0 < epsilon < 1). In this paper, we mainly investigate the order of convergence of the alpha, beta-rule with variable relaxation coefficient lambda(m) satisfying 0 < epsilon <= lambda(m)sigma(2)(1) <= 2 - epsilon. According to the order of convergence, we can conclude that alpha, beta-rule is the optimal rule for the Landweber scheme.; Mathematics, Applied; Physics, Mathematical; SCI(E); 0; ARTICLE; 1; 133-146; 6
语种	英语
出处	SCI
出版者	inverse problems and imaging
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/393699]
专题	数学科学学院
推荐引用方式 GB/T 7714	Wang, Caifang,Zhou, Tie. THE ORDER OF CONVERGENCE FOR LANDWEBER SCHEME WITH alpha,beta-RULE. 2012-01-01.

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