Turkish Journal of Mathematics
H-tensor, M-tensor, Hadamard product, Sum-of-squares tensor
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.
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Paksoy, Vehbi Emrah, "A Special Cone Construction and Its Connections to Structured Tensors and Their Spectra" (2020). Mathematics Faculty Articles. 294.