This article is cited 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

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.

UDC: 519.61

Received: 30.01.2006
Revised: 14.02.2006

 English version: Computational Mathematics and Mathematical Physics, 2006, 46:10, 1641–1650

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