Minimization methods for approximating tensors and their comparison
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 10, pp. 1725-1734
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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.
@article{ZVMMF_2006_46_10_a1,
author = {I. V. Oseledets and D. V. Savostyanov},
title = {Minimization methods for approximating tensors and their comparison},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1725--1734},
publisher = {mathdoc},
volume = {46},
number = {10},
year = {2006},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_10_a1/}
}
TY - JOUR AU - I. V. Oseledets AU - D. V. Savostyanov TI - Minimization methods for approximating tensors and their comparison JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2006 SP - 1725 EP - 1734 VL - 46 IS - 10 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_10_a1/ LA - ru ID - ZVMMF_2006_46_10_a1 ER -
%0 Journal Article %A I. V. Oseledets %A D. V. Savostyanov %T Minimization methods for approximating tensors and their comparison %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2006 %P 1725-1734 %V 46 %N 10 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_10_a1/ %G ru %F ZVMMF_2006_46_10_a1
I. V. Oseledets; D. V. Savostyanov. Minimization methods for approximating tensors and their comparison. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 10, pp. 1725-1734. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_10_a1/