The eigenvalues and eigenvectors of nonsingular tensors, similar tensors and tensor products

被引:3
|
作者
Liu, Xifu [1 ]
机构
[1] Chongqing Normal Univ, Sch Math Sci, Chongqing, Peoples R China
来源
LINEAR & MULTILINEAR ALGEBRA | 2018年 / 66卷 / 09期
基金
中国国家自然科学基金;
关键词
Tensor; similar tensors; Left (right) inverse; eigenvalue; eigenvector; DETERMINANTS; INVERSE;
D O I
10.1080/03081087.2017.1369928
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we extend some well- known results on the relationships of the eigenvalues and eigenvectors frommatrices to the tensors case, including nonsingular tensors and their left ( right) inverses, similar tensors, tensor products AB and BA, where B is a matrix.
引用
收藏
页码:1717 / 1725
页数:9
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