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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 10, Pages 1725–1734 (Mi zvmmf392)  
This article is cited in 19 scientific papers (total in 19 papers)

Minimization methods for approximating tensors and their comparison

I. V. Oseledets, D. V. Savostyanov

Institute of Numerical Mathematics, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 11999, Russia
Full-text PDF (1047 kB) Citations (19)
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Abstract: Application of various minimization methods to trilinear approximation of tensors is considered. These methods are compared based on numerical calculations. For the Gauss–Newton method, an efficient implementation is proposed, and the local rate of convergence is estimated for the case of completely symmetric tensors.
Key words: trilinear approximation, minimization methods, nonlinear approximation.
Received: 30.01.2006
Revised: 14.02.2006
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 10, Pages 1641–1650
DOI: https://doi.org/10.1134/S0965542506100022
Bibliographic databases:
Document Type: Article
UDC: 519.61
Language: Russian
Citation: I. V. Oseledets, D. V. Savostyanov, “Minimization methods for approximating tensors and their comparison”, Zh. Vychisl. Mat. Mat. Fiz., 46:10 (2006), 1725–1734; Comput. Math. Math. Phys., 46:10 (2006), 1641–1650
Citation in format AMSBIB
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\by I.~V.~Oseledets, D.~V.~Savostyanov
\paper Minimization methods for approximating tensors and their comparison
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 10
\pages 1725--1734
\mathnet{http://mi.mathnet.ru/zvmmf392}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2302910}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 10
\pages 1641--1650
\crossref{https://doi.org/10.1134/S0965542506100022}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33750308016}
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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