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J4 ›› 2012, Vol. 47 ›› Issue (10): 34-37.

• 论文 • 上一篇    下一篇

实偏对称矩形张量的E-奇异值

赵娜   

  1. 天津大学理学院数学系, 天津 300072
  • 收稿日期:2011-09-12 出版日期:2012-11-20 发布日期:2012-10-26
  • 作者简介:赵娜(1989- ),女,硕士研究生,研究方向为代数. Email:chlzhn@126.com

E-singular values of a real partially symmetric rectangular tensor

ZHAO Na   

  1. Department of Mathematics, School of Science, Tianjin University, Tianjin 300072, China
  • Received:2011-09-12 Online:2012-11-20 Published:2012-10-26

摘要:

通过引入矩形张量的E-奇异值,将实对称方形张量E-特征值的主要性质推广到实偏对称矩形张量的E-奇异值上,并进一步研究了矩形张量的正交相似性。

关键词: 矩形张量;奇异值;正定;正交相似

Abstract:

The E-singular values of rectangular tensors are introduced, the properties of E-eigenvalues of real symmetric square tensors are generalized to the E-singular values of real partially symmetric rectangular tensors, and the orthogonal similarity of rectangular tensors is investigated.

Key words: rectangular tensor; singular value; positive definite; orthogonal similarity

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