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Journal of Siberian Federal University. Mathematics & Physics, 2014, Volume 7, Issue 2, Pages 224–234 (Mi jsfu365)  

This article is cited in 4 scientific papers (total in 4 papers)

Numerical evaluation of the truncated singular value decomposition within the seismic traveltimes tomography framework

Alexandr S. Serdyukova, Andrey V. Patutinb, Tatiana V. Shilovab

a Novosibirsk State University, Pirogova, 2, Novosibirsk, 630090 Russia
b Institute of Mining, Krasny, 54, Novosibirsk, 630091 Russia
References:
Abstract: The method of truncated singular value decomposition is a powerful tool of regularization and solution of inverse problems. Application of this method is limited by the memory requirements for the calculation of singular value decomposition of matrices. The solution is a usage of iterative procedures, that provide the possibility to evaluate only the largest singular values and corresponding vectors. For the practical application of this methodology one should answer the questions: what part of the spectrum can be determined numerically and whether the number of singular vectors is enough for the solution. These problems are considered in the present paper within the seismic traveltimes inversion framework.
Keywords: inverse problems, numerical methods, truncated singular value decomposition, geophysics, seismic traveltimes.
Received: 20.08.2013
Received in revised form: 25.12.2013
Accepted: 20.02.2014
Document Type: Article
UDC: 512.54
Language: English
Citation: Alexandr S. Serdyukov, Andrey V. Patutin, Tatiana V. Shilova, “Numerical evaluation of the truncated singular value decomposition within the seismic traveltimes tomography framework”, J. Sib. Fed. Univ. Math. Phys., 7:2 (2014), 224–234
Citation in format AMSBIB
\Bibitem{SerPatShi14}
\by Alexandr~S.~Serdyukov, Andrey~V.~Patutin, Tatiana~V.~Shilova
\paper Numerical evaluation of the truncated singular value decomposition within the seismic traveltimes tomography framework
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2014
\vol 7
\issue 2
\pages 224--234
\mathnet{http://mi.mathnet.ru/jsfu365}
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  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал Сибирского федерального университета. Серия "Математика и физика"
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