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

Authors : Vehbı Emrah Paksoy

Pages : 1222-1237

Doi:10.3906/mat-1909-56

View : 11 | Download : 0

Publication Date : 9999-12-31

Article Type : Makaleler

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