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.
H-tensor, M-tensor, Hadamard product, sum-of-squares tensor
"A special cone construction and its connections to structured tensors and their spectra,"
Turkish Journal of Mathematics: Vol. 44:
4, Article 11.
Available at: https://journals.tubitak.gov.tr/math/vol44/iss4/11