New bounds for the minimum eigenvalue of 𝓜-tensors

• Autorzy: Jianxing Zhao , Caili Sang
• Języki publikacji: EN

Abstrakty

EN

A new lower bound and a new upper bound for the minimum eigenvalue of an 𝓜-tensor are obtained. It is proved that the new lower and upper bounds improve the corresponding bounds provided by He and Huang (J. Inequal. Appl., 2014, 2014, 114) and Zhao and Sang (J. Inequal. Appl., 2016, 2016, 268). Finally, two numerical examples are given to verify the theoretical results.

Słowa kluczowe

EN

𝓜-tensors; Nonnegative tensors; Minimum eigenvalue

Kategorie tematyczne

• 15A42: Inequalities involving eigenvalues and eigenvectors
• 15A18: Eigenvalues, singular values, and eigenvectors
• 15A69: Multilinear algebra, tensor products

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1
• Strony: 296-303

Daty

wydano

2017-01-01

otrzymano

2016-11-06

zaakceptowano

2017-01-16

online

2017-03-16

Twórcy

autor

Jianxing Zhao

• College of Data Science and Information Engineering, Guizhou Minzu University, Guiyang 550025,

autor

Caili Sang

• College of Data Science and Information Engineering, Guizhou Minzu University, Guiyang 550025,

Identyfikatory

DOI

10.1515/math-2017-0018