Closed formulas for the multilinear rank of trifocal Grassmann tensors are obtained. An alternative process to the standard HOSVD is introduced for the computation of the core of trifocal Grassmann tensors. Both of these results are obtained, under natural genericity conditions, leveraging the canonical form for these tensors, obtained by the same authors in a previous work. A gallery of explicit examples is also included.
The multilinear rank and core of trifocal Grassmann tensors / M. Bertolini, G. Besana, G. Bini, C. Turrini. - In: LINEAR ALGEBRA AND ITS APPLICATIONS. - ISSN 0024-3795. - 698:(2024 Oct 01), pp. 5-25. [10.1016/j.laa.2024.05.018]
The multilinear rank and core of trifocal Grassmann tensors
M. BertoliniPrimo
;C. TurriniUltimo
2024
Abstract
Closed formulas for the multilinear rank of trifocal Grassmann tensors are obtained. An alternative process to the standard HOSVD is introduced for the computation of the core of trifocal Grassmann tensors. Both of these results are obtained, under natural genericity conditions, leveraging the canonical form for these tensors, obtained by the same authors in a previous work. A gallery of explicit examples is also included.
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