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Volume 2, Issue 4
Fast Revealing of Mode Ranks of Tensor in Canonical Form

Dmitry V. Savostyanov

Numer. Math. Theor. Meth. Appl., 2 (2009), pp. 439-444.

Published online: 2009-02

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  • Abstract

Considering the problem of mode ranks revealing of $d$-dimensional array (tensor) given in canonical form, we propose fast algorithm based on cross approximation of Gram matrices of unfoldings.

  • AMS Subject Headings

15A21, 15A69, 19A90

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COPYRIGHT: © Global Science Press

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@Article{NMTMA-2-439, author = {}, title = {Fast Revealing of Mode Ranks of Tensor in Canonical Form}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2009}, volume = {2}, number = {4}, pages = {439--444}, abstract = {

Considering the problem of mode ranks revealing of $d$-dimensional array (tensor) given in canonical form, we propose fast algorithm based on cross approximation of Gram matrices of unfoldings.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2009.m9006s}, url = {http://global-sci.org/intro/article_detail/nmtma/6034.html} }
TY - JOUR T1 - Fast Revealing of Mode Ranks of Tensor in Canonical Form JO - Numerical Mathematics: Theory, Methods and Applications VL - 4 SP - 439 EP - 444 PY - 2009 DA - 2009/02 SN - 2 DO - http://doi.org/10.4208/nmtma.2009.m9006s UR - https://global-sci.org/intro/article_detail/nmtma/6034.html KW - Multidimensional array, canonical decomposition, Tucker approximation, fast recompression. AB -

Considering the problem of mode ranks revealing of $d$-dimensional array (tensor) given in canonical form, we propose fast algorithm based on cross approximation of Gram matrices of unfoldings.

Dmitry V. Savostyanov. (2020). Fast Revealing of Mode Ranks of Tensor in Canonical Form. Numerical Mathematics: Theory, Methods and Applications. 2 (4). 439-444. doi:10.4208/nmtma.2009.m9006s
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