Journal of Inverse and Ill-posed Problems
Editor-in-Chief: Kabanikhin, Sergey I.
6 Issues per year
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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)
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Volume 14 (2006)
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Most Downloaded Articles
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- Minisymposium — Recent progress in regularization theory by Neubauer, A.
- A numerical study of heuristic parameter choice rules for total variation regularization by Kindermann, Stefan/ Mutimbu, Lawrence D. and Resmerita, Elena
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.