Affiliation:
1. Departamento de Matemática Aplicada/IUMA, Facultad de Ciencias, Universidad de Zaragoza, Zaragoza, Spain
Abstract
In this manuscript we introduce the class of ?-matrices, which gives a new
sufficient condition for the positivity of the determinant. However, we show
that nonnegative ?-matrices are not necessarily P-matrices. For column
stochastic matrices, the property of being a ?-matrix is weaker than strict
diagonal dominance. We extend ?-matrices to tensors and call them ?-tensors.
Although they are not in general P-tensors, we prove that nonnegative
?-tensors of odd order are P-tensors
Publisher
National Library of Serbia
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