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

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,

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