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

页码：1860 / 1866

页数：7

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