Nondegeneracy of eigenvectors and singular vector tuples of tensors  

作　　者：Shenglong Hu 

机构地区：[1]Department of Mathematics,School of Science,Hangzhou Dianzi University,Hangzhou 310018,China

出　　处：《Science China Mathematics》2022年第12期2483-2492,共10页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant No.11771328);Young Elite Scientists Sponsorship Program by Tianjin and the Natural Science Foundation of Zhejiang Province of China(Grant No.LD19A010002)。

摘　　要：In this article, nondegeneracy of singular vector tuples, Z-eigenvectors and eigenvectors of tensors is studied, which have found many applications in diverse areas. The main results are:(ⅰ)each(Z-)eigenvector/singular vector tuple of a generic tensor is nondegenerate, and(ⅱ) each nonzero Zeigenvector/singular vector tuple of an orthogonally decomposable tensor is nondegenerate.

关 键 词：tensor singular vector tuple EIGENVECTOR Z-eigenvector NONDEGENERACY generic 

分 类 号：O183.2[理学—数学]