Convergence analysis of the loping OS-EM algorithm for noisy data

In this paper, we modify the OS-EM algorithm with an overrelaxation. For noisy data, we focus on the convergence analysis for loping OS-EM algorithm and extend the noisy data in -norm space. We get some results by employing a stopping rule and show weak convergence of the iterates to solution of the...

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Bibliographic Details
Published in:	Complex variables and elliptic equations Vol. 65; no. 11; pp. 1871 - 1881
Main Authors:	Guo, Yao, Fu, Min, Wang, Jinping
Format:	Journal Article
Language:	English
Published:	Colchester Taylor & Francis 01.11.2020 Taylor & Francis Ltd
Subjects:	Algorithms Convergence Ill-posed equations monotonicity the loping OS-EM method
ISSN:	1747-6933, 1747-6941
Online Access:	Get full text
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Summary:	In this paper, we modify the OS-EM algorithm with an overrelaxation. For noisy data, we focus on the convergence analysis for loping OS-EM algorithm and extend the noisy data in -norm space. We get some results by employing a stopping rule and show weak convergence of the iterates to solution of the equations.
Bibliography:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
ISSN:	1747-6933 1747-6941
DOI:	10.1080/17476933.2019.1687456