We investigate continuous regularization methods for linear inverse problems of static and dynamic type. These methods are based on dynamic programming approaches for linear quadratic optimal control problems. We prove regularization properties and also obtain rates of convergence for our methods. A numerical example concerning a dynamical electrical impedance tomography (EIT) problem is used to illustrate the theoretical results.
Editor-in-Chief: Kabanikhin, Sergey I.
6 Issues per year
IMPACT FACTOR 2011: 0.432
Mathematical Citation Quotient 2011: 0.40
Issues
Volume 21 (2013)
Volume 20 (2012)
Volume 19 (2011)
Volume 18 (2011)
Volume 17 (2009)
Volume 16 (2008)
Volume 15 (2007)
Volume 14 (2006)
Volume 13 (2005)
Volume 12 (2004)
Volume 11 (2003)
Volume 7 (1999)
Volume 6 (1998)
Volume 5 (1997)
Volume 4 (1996)
Volume 3 (1995)
Volume 2 (1994)
Most Downloaded Articles
- Masthead
- Conference announcement “Inverse and Ill-Posed Problems of Mathematical Physics” dedicated to the 80th birthday of Academician M. M. Lavrentiev
- Masthead
- The inverse spectral problem for the Sturm–Liouville operator with discontinuous potential by Sedipkov, Aydys A.
- Chemnitz Symposium on Inverse ProblemsChemnitz, Germany, September 27–28, 2007 by Hofmann, B.
Regularization by dynamic programming
S. Kindermann / A. Leitão
1Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Altenbergerstrasse 69, A-4040 Linz, Austria. Email: stefan.kindermann@oeaw.ac.at
1Department of Mathematics, Federal University of St. Catarina, P.O. Box 476, 88.040-900 Florianopolis, Brazil. Email: aleitao@mtm.ufsc.br
Citation Information: Journal of Inverse and Ill-posed Problems jiip. Volume 15, Issue 3, Pages 295–310, ISSN (Online) 1569-3953, ISSN (Print) 0928-0219, DOI: 10.1515/jiip.2007.016, June 2007
Publication History:
- Published Online:
- 2007-06-25
Key Words: Regularization,; dynamic programming,; inverse problems,; Hamilton–Jacobi equation,; electrical impedance tomography,; dynamic inverse problems.
Comments (0)