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.
Gilberto Bini, M.B. (2024). The multilinear rank and core of trifocal Grassmann tensors. LINEAR ALGEBRA AND ITS APPLICATIONS, 698, 5-25 [10.1016/j.laa.2024.05.018].
The multilinear rank and core of trifocal Grassmann tensors
Gilberto Bini
;
2024-01-01
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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