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

Abstract

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