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arXiv · 2312.01492

The Multilinear Rank and Core of Trifocal Grassmann Tensors

Marina Bertolini·Gian Mario Besana·Gilberto Bini·Cristina Turrini
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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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Marina Bertolini, Gian Mario Besana, Gilberto Bini, Cristina Turrini. 2023-12-03. The Multilinear Rank and Core of Trifocal Grassmann Tensors. https://arxiv.org/abs/2312.01492

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