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 : 12 | Download : 2

Publication Date : 0000-00-00

Article Type : Research Paper

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