AnS-type upper bound for the largest singular value of nonnegative rectangular tensors

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

Abstrakty

EN

An S-type upper bound for the largest singular value of a nonnegative rectangular tensor is given by breaking N = {1, 2, … n} into disjoint subsets S and its complement. It is shown that the new upper bound is smaller than that provided by Yang and Yang (2011). Numerical examples are given to verify the theoretical results.

Słowa kluczowe

EN

Nonnegative tensor; Rectangular tensor; Singular value

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: 2016
• Tom: 14
• Numer: 1
• Strony: 925-933

Daty

wydano

2016-01-01

otrzymano

2016-08-13

zaakceptowano

2016-10-11

online

2016-11-12

Twórcy

autor

Jianxing Zhao

• College of Science, Guizhou Minzu University, Guiyang 550025,

autor

Caili Sang

• College of Science, Guizhou Minzu University, Guiyang 550025,

Identyfikatory

DOI

10.1515/math-2016-0085