The multilinear rank and core of trifocal Grassmann tensors

IF 1 3区数学 Q1 MATHEMATICS

Linear Algebra and its Applications Pub Date : 2024-05-29 DOI:10.1016/j.laa.2024.05.018

Marina Bertolini , GianMario Besana , Gilberto Bini , Cristina Turrini

引用次数: 0

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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三焦格拉斯曼张量的多线性秩和核心

我们获得了三焦格拉斯曼张量多线性秩的封闭公式。在计算三焦格拉斯曼张量的核心时，引入了标准 HOSVD 的替代过程。这两个结果都是在自然通性条件下，利用同一作者在之前的工作中获得的这些张量的典型形式得到的。此外，还包含了一个明确示例的图库。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Linear Algebra and its Applications 数学-应用数学

CiteScore

2.20

自引率

9.10%

发文量

333

审稿时长

13.8 months

期刊介绍： Linear Algebra and its Applications publishes articles that contribute new information or new insights to matrix theory and finite dimensional linear algebra in their algebraic, arithmetic, combinatorial, geometric, or numerical aspects. It also publishes articles that give significant applications of matrix theory or linear algebra to other branches of mathematics and to other sciences. Articles that provide new information or perspectives on the historical development of matrix theory and linear algebra are also welcome. Expository articles which can serve as an introduction to a subject for workers in related areas and which bring one to the frontiers of research are encouraged. Reviews of books are published occasionally as are conference reports that provide an historical record of major meetings on matrix theory and linear algebra.