A Special Cone Construction and Its Connections to Structured Tensors and Their Spectra

Authors

Vehbi Emrah Paksoy, Nova Southeastern UniversityFollow

Document Type

Article

Publication Date

4-5-2020

Publication Title

Turkish Journal of Mathematics

Keywords

H-tensor, M-tensor, Hadamard product, Sum-of-squares tensor

ISSN

1300-0098

First Page

1

Last Page

16

Abstract

In this work we construct a cone comprised of a group of tensors (hypermatrices) satisfying a special condition, and we study its relations to structured tensors such as M-tensors and H-tensors. We also investigate its applications to spectra of certain Z-tensors. We obtain an inequality for the spectral radius of certain tensors when the order m is odd.

Comments

©TUBITAK. This work is licensed under a Creative Commons Attribution 4.0 International License.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

NSUWorks Citation

Paksoy, Vehbi Emrah, "A Special Cone Construction and Its Connections to Structured Tensors and Their Spectra" (2020). Mathematics Faculty Articles. 294.
https://nsuworks.nova.edu/math_facarticles/294

DOI

10.3906/mat-1909-56