On unique tensor rank decomposition of 3-tensors

被引：1
|
作者：
Gubkin, Pavel [1 ,2 ,3 ,4 ]
机构：
[1] St Petersburg State Univ, St Petersburg, Russia
[2] Russian Acad Sci, St Petersburg Dept, Steklov Math Inst, St Petersburg, Russia
[3] St Petersburg State Univ, Univ Skaya nab 7-9, St Petersburg 199034, Russia
[4] Russian Acad Sci, St Petersburg Dept, Steklov Math Inst, Fontanka 27, St Petersburg 191023, Russia
来源：
LINEAR & MULTILINEAR ALGEBRA | 2024年 / 72卷 / 11期
关键词：
Kruskal theorem; tensor rank; tensor decomposition; CANONICAL POLYADIC DECOMPOSITION;
D O I：
10.1080/03081087.2023.2211718
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We answer to a question posed recently in reference [Lovitz B, Petrov F. A generalization of Kruskal's theorem on tensor decomposition. Available at arXiv 2103.15633; 2021], proving the conjectured sufficient minimality and uniqueness condition of the 3-tensor decomposition.
引用
收藏
页码：1860 / 1866
页数：7
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