A class of parameter choice rules for stationary iterated weighted Tikhonov regularization scheme

Reddy, G D (2019) A class of parameter choice rules for stationary iterated weighted Tikhonov regularization scheme. Applied Mathematics and Computation, 347. pp. 464-476. ISSN 0096-3003

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Abstract

Regularization procedure involves the regularization parameter that plays a crucial role in the convergence analysis of the regularization scheme. Recently, Reddy (2017) has proposed two a posteriori parameter choice rules to choose the regularization parameter in the weighted Tikhonov regularization scheme. The primary purpose of this article is to introduce a class of parameter choice rules to choose the regularization parameter in the stationary iterated weighted Tikhonov (SIWT) regularization scheme and derive the optimal rate of convergence O(δ[Formula presented]) for a stationary iterated method based on these proposed rules. The numerical experiments support our theoretical results.

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IITH Creators:
IITH CreatorsORCiD
Item Type: Article
Uncontrolled Keywords: Ill-posed problems, Parameter choice rules, Regularization, Stationary iterated weighted Tikhonov
Subjects: Others > Mechanics
Divisions: Department of Mechanical & Aerospace Engineering
Depositing User: Team Library
Date Deposited: 10 Dec 2018 10:43
Last Modified: 10 Dec 2018 10:43
URI: http://raiith.iith.ac.in/id/eprint/4619
Publisher URL: http://doi.org/10.1016/j.amc.2018.11.015
OA policy: http://www.sherpa.ac.uk/romeo/issn/0096-3003/
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