Monotonicity of error of regularized solution and its use for parameter choice-Reference-Cited by-同舟云学术

Monotonicity of error of regularized solution and its use for parameter choice

Published:2013-08-20 Issue:1 Volume:22 Page:10-30
ISSN:1741-5977
Container-title:Inverse Problems in Science and Engineering
language:en
Short-container-title:Inverse Problems in Science and Engineering

Author:

Hämarik Uno¹,Kangro Urve¹,Palm Reimo¹,Raus Toomas¹,Tautenhahn Ulrich²

Affiliation:

1. Faculty of Mathematics and Computer Science, University of Tartu, Liivi 2, 50409 Tartu, Estonia.

2. Department of Mathematic, University of Applied Sciences Zittau/Görlitz, P. O. Box 1454, 02754 Zittau, Germany.

Publisher

Informa UK Limited

Subject

Applied Mathematics,Computer Science Applications,General Engineering

Link

https://www.tandfonline.com/doi/pdf/10.1080/17415977.2013.827185

Reference45 articles.

1. Vainikko GM, Veretennikov AY. Iteration procedures in ill-posed problems. Moscow: Nauka; 1986(in Russian).

2. Tautenhahn U. On a new parameter choice rule for ill-posed inverse problems. In: Lipitakis EA, editor. HERCMA ’98: Proc. 4th Hellenic-European Conference on Computer Mathematics and its Applications. Athens: Lea Publishers; 1999. p. 118–125.

3. Hämarik U. Monotonicity of error and choice of the stopping index in iterative regularization methods. In: Pedas A, editor. Differential and integral equations: theory and numerical analysis. Tartu: Estonian Mathematical Society; 1999. p. 15–30.

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