The parameter choice rules for weighted Tikhonov regularization scheme

Reddy, G D (2017) The parameter choice rules for weighted Tikhonov regularization scheme. Computational and Applied Mathematics. ISSN 0101-8205 (In Press)

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Abstract

The well-known approach to solve the ill-posed problem is Tikhonov regularization scheme. But, the approximate solution of Tikhonov scheme may not contain all the details of the exact solution. To circumference this problem, weighted Tikhonov regularization has been introduced. In this article, we propose two a posteriori parameter choice rules to choose the regularization parameter for weighted Tikhonov regularization and establish the optimal rate of convergence O(δα+1α+2) for the scheme based on these proposed rules. The numerical results are documented to demonstrate the significance of the theoretical results.

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IITH Creators:	IITH Creators ORCiD
Item Type:	Article
Uncontrolled Keywords:	Ill-posed problems, Weighted Tikhonov regularization, Parameter choice rules
Subjects:	Physics > Mechanical and aerospace
Divisions:	Department of Physics
Depositing User:	Team Library
Date Deposited:	27 Mar 2017 06:30
Last Modified:	27 Mar 2017 06:30
URI:	http://raiithold.iith.ac.in/id/eprint/3113
Publisher URL:	http://dx.doi.org/10.1007/s40314-017-0433-1
OA policy:	http://www.sherpa.ac.uk/romeo/issn/0101-8205/
Related URLs:	Google Scholar

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