A special cone construction and its connections to structured tensors and their spectra

Authors

VEHBI PAKSOY

DOI

10.3906/mat-1909-56

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.

Keywords

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

First Page

1222

Last Page

1237

Recommended Citation

PAKSOY, VEHBI (2020) "A special cone construction and its connections to structured tensors and their spectra," Turkish Journal of Mathematics: Vol. 44: No. 4, Article 11. https://doi.org/10.3906/mat-1909-56
Available at: https://journals.tubitak.gov.tr/math/vol44/iss4/11