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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 10, Pages 1725–1734
(Mi zvmmf392)
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This article is cited in 18 scientific papers (total in 18 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
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
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
Linking options:
https://www.mathnet.ru/eng/zvmmf392 https://www.mathnet.ru/eng/zvmmf/v46/i10/p1725
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Abstract page: | 524 | Full-text PDF : | 361 | References: | 50 | First page: | 1 |
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