An S-type singular value inclusion set for rectangular tensors

Sang, Caili

doi:10.1186/s13660-017-1421-0

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2017

2024

Publication Types

Select...

Article4

Other1

Relationship

Self Cite0

Independent5

Authors

Journals

Cited by 5 publications

(1 citation statement)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For the case that k = s = p + q, the l k,s -singular values of a rectangular tensor reduces to the singular values of a rectangular tensor introduced in [2], which are deeply discussed in [26,31,33,34]. For the case that k = p and s = q, it was discussed in [13].…”

mentioning

confidence: 99%

Properties and calculation for C-eigenvalues of a piezoelectric-type tensor

Zhao

Luo

2022

JIMO

View full text Add to dashboard Cite

This paper mainly considers the C-eigenvalues of a piezoelectric-type tensor. For this, we first discuss its relationship with <inline-formula><tex-math id="M1">\begin{document}$ l^{k, s} $\end{document}</tex-math></inline-formula>-singular values of a partially symmetric rectangular tensor, and then present three types of C-eigenvalue inclusion intervals which can be used to locate all C-eigenvalues of a piezoelectric-type tensor and can provide an upper and a lower bound for the largest C-eigenvalue of a piezoelectric-type tensor. Finally, we present an alternative method to compute all C-eigenpairs of a piezoelectric-type tensor.

show abstract

mentioning

confidence: 99%