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

G.D. Reddy

Applied Mathematics and Computation, 2019, vol. 347, issue C, 464-476

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(δj(α+1)1+j(α+1)) for a stationary iterated method based on these proposed rules. The numerical experiments support our theoretical results.

Keywords: Ill-posed problems; Regularization; Stationary iterated weighted Tikhonov; Parameter choice rules (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:347:y:2019:i:c:p:464-476

DOI: 10.1016/j.amc.2018.11.015

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