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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 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.  Full text:
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UDC: 512.54 Received: 20.08.2013 Received in revised form: 25.12.2013 Accepted: 20.02.2014 Language: 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), 
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