The Multilinear Rank and Core of Trifocal Grassmann Tensors

التفاصيل البيبلوغرافية
العنوان: The Multilinear Rank and Core of Trifocal Grassmann Tensors
المؤلفون: Bertolini, Marina, Besana, Gian Mario, Bini, Gilberto, Turrini, Cristina
سنة النشر: 2023
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Algebraic Geometry, 15A69, 14N05
الوصف: 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.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2312.01492
رقم الأكسشن: edsarx.2312.01492
قاعدة البيانات: arXiv