Advanced search
Publication Cover
Mathematical Modelling and Analysis Volume 14, 2009 - Issue 2
Journal homepage
177
Views
12
CrossRef citations to date
0
Altmetric
Original Articles

New rule for choice of the regularization parameter in (iterated) tikhonov method

T. Raus Institute of Mathematics, University of Tartu, J. Liivi 2, 50409, Tartu E-mail: [email protected]
&
U. Hämarik Institute of Mathematics, University of Tartu, J. Liivi 2, 50409, Tartu E-mail: [email protected]
Pages 187-198 | Received 16 Oct 2008, Published online: 14 Oct 2010

Citations (12)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (2)

U. Hämarik, R. Palm & T. Raus. (2010) Extrapolation of Tikhonov regularization method. Mathematical Modelling and Analysis 15:1, pages 55-68.
Read now
U. Hämarik, R. Palm & T. Raus. (2009) On Minimization Strategies for Choice of the Regularization Parameter in Ill-Posed Problems. Numerical Functional Analysis and Optimization 30:9-10, pages 924-950.
Read now

Articles from other publishers (10)

Toomas Raus & Uno Hämarik. (2020) Q-Curve and Area Rules for Choosing Heuristic Parameter in Tikhonov Regularization. Mathematics 8:7, pages 1166.
Crossref
Toomas Raus & Uno Hämarik. 2018. New Trends in Parameter Identification for Mathematical Models. New Trends in Parameter Identification for Mathematical Models 227 244 .
Uno Hämarik. On comparison of accuracy of approximate solutions of operator equations with noisy data. On comparison of accuracy of approximate solutions of operator equations with noisy data.
Frank Bauer, Martin Gutting & Mark A. Lukas. 2015. Handbook of Geomathematics. Handbook of Geomathematics 1713 1774 .
Wen Liu & Chuansheng Wu. (2013) A predictor–corrector iterated Tikhonov regularization for linear ill-posed inverse problems. Applied Mathematics and Computation 221, pages 802-818.
Crossref
Frank Bauer, Martin Gutting & Mark A. Lukas. 2020. Handbook of Geomathematics. Handbook of Geomathematics 1 55 .
Uno Hämarik, Reimo Palm & Toomas Raus. (2012) A family of rules for parameter choice in Tikhonov regularization of ill-posed problems with inexact noise level. Journal of Computational and Applied Mathematics 236:8, pages 2146-2157.
Crossref
Toomas Raus & Uno Hämarik. (2011) On the quasi-optimal rules for the choice of the regularization parameter in case of a noisy operator. Advances in Computational Mathematics 36:2, pages 221-233.
Crossref
Frank Bauer & Mark A. Lukas. (2011) Comparingparameter choice methods for regularization of ill-posed problems. Mathematics and Computers in Simulation 81:9, pages 1795-1841.
Crossref
Uno Hämarik, Reimo Palm & Toomas Raus. (2010) Comparison of parameter choices in regularization algorithms in case of different information about noise level. Calcolo 48:1, pages 47-59.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.