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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

IMPACT FACTOR increased in 2015: 0.987
Rank 59 out of 312 in category Mathematics and 93 out of 254 in Applied Mathematics in the 2015 Thomson Reuters Journal Citation Report/Science Edition

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Source Normalized Impact per Paper (SNIP) 2015: 1.106
Impact per Publication (IPP) 2015: 0.712

Mathematical Citation Quotient (MCQ) 2015: 0.43

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Regularization by dynamic programming

S. Kindermann1 / A. Leitão2

1Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Altenbergerstrasse 69, A-4040 Linz, Austria. Email:

2Department of Mathematics, Federal University of St. Catarina, P.O. Box 476, 88.040-900 Florianopolis, Brazil. Email:

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:

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.

Key Words: Regularization,; dynamic programming,; inverse problems,; Hamilton–Jacobi equation,; electrical impedance tomography,; dynamic inverse problems.

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Inverse Problems, 2014, Volume 30, Number 3, Page 035008

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