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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.


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1569-3945
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Volume 26, Issue 2

Issues

A parameter choice strategy for a multilevel augmentation method in iterated Lavrentiev regularization

Chunmei Zeng / Xingjun Luo
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  • School of Mathematics and Computer Science, Gannan Normal University, Ganzhou 341000, P. R. China
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/ Suhua Yang / Fanchun Li
  • Department of Electronic Information Engineering, Jiangxi Vocational College of Applied Technology, Ganzhou 341000, P. R. China
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Published Online: 2018-01-10 | DOI: https://doi.org/10.1515/jiip-2017-0006

Abstract

In this paper we apply the multilevel augmentation method to solve an ill-posed integral equation via the iterated Lavrentiev regularization. This method leads to fast solutions of discrete iterated Lavrentiev regularization. The convergence rates of the iterated Lavrentiev regularization are achieved by using a certain parameter choice strategy. Finally, numerical experiments are given to illustrate the efficiency of the method.

Keywords: Ill-posed integral equations; multilevel augmentation methods; a parameter choice strategy; iterated Lavrentiev regularization

MSC 2010: 65J20; 65R20

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About the article

Received: 2017-01-09

Revised: 2017-11-21

Accepted: 2017-11-22

Published Online: 2018-01-10

Published in Print: 2018-04-01


Funding Source: National Natural Science Foundation of China

Award identifier / Grant number: 11761010

Award identifier / Grant number: 11361005

Award identifier / Grant number: 61502107

Award identifier / Grant number: 11661008

Funding Source: Natural Science Foundation of Jiangxi Province

Award identifier / Grant number: 20151BAB201011

Award identifier / Grant number: 20161BAB202069

Supported in part by the Natural Science Foundation of China under the grants 11761010, 11361005, 61502107 and 11661008, and the Natural Science Foundation of Jiangxi Province under the grants 20151BAB201011 and 20161BAB202069.


Citation Information: Journal of Inverse and Ill-posed Problems, Volume 26, Issue 2, Pages 153–170, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: https://doi.org/10.1515/jiip-2017-0006.

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