Journal of Inverse and Ill-posed Problems
Editor-in-Chief: Kabanikhin, Sergey I.
6 Issues per year
Increased IMPACT FACTOR 2013: 0.593
Rank 143 out of 299 in category Mathematics in the 2013 Thomson Reuters Journal Citation Report/Science Edition
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Volume 22 (2014)
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 10 (2002)
Volume 9 (2001)
Volume 8 (2000)
Volume 7 (1999)
Volume 6 (1998)
Volume 5 (1997)
Volume 4 (1996)
Volume 3 (1995)
Volume 2 (1994)
Most Downloaded Articles
- Chemnitz Symposium on Inverse ProblemsChemnitz, Germany, September 27–28, 2007 by Hofmann, B.
- Obituary of Alfredo Lorenzi
- A numerical study of heuristic parameter choice rules for total variation regularization by Kindermann, Stefan/ Mutimbu, Lawrence D. and Resmerita, Elena
- Limited-angle cone-beam computed tomography image reconstruction by total variation minimization and piecewise-constant modification by Zeng, Li/ Guo, Jiqiang and Liu, Baodong
- Carleman estimates for global uniqueness, stability and numerical methods for coefficient inverse problems by Klibanov, Michael V.
Iterative processes of gradient type with applications to gravimetry and magnetometry inverse problems
1Department of Ill-Posed Problems and Applications, Institute of Mathematics and Mechanics UB RAS, S. Kovalevskaya Street 16, Ekaterinburg 620990, Russia.
Citation Information: Journal of Inverse and Ill-posed Problems. Volume 18, Issue 8, Pages 855–876, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: 10.1515/jiip.2011.007, April 2011
- Published Online:
The iterative processes of gradient type for nonlinear equations with differentiable operator satisfying a local condition in the neighborhood of solution are investigated. The theorems on weak and strong convergence of iterations constructed by these methods and their modified analogs are established.
The inverse gravimetry problem is considered as the application of the developed methods: retrieval of the interface between the media with different constant densities. For stable solution of the nonlinear inverse magnetometry problem the additional regularization by the Tikhonov method is used and for approximation of the regularized solution one variant of the conjugate gradient method is applied. The numerical results for model and real gravitational and magnetic data are considered.