Geodesic
Β-matrices and β-tensors
Filomat, Tome 36 (2022) no. 13, p. 4331

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DOI

In this manuscript we introduce the class of β-matrices, which gives a new sufficient condition for the positivity of the determinant. However, we show that nonnegative β-matrices are not necessarily P-matrices. For column stochastic matrices, the property of being a β-matrix is weaker than strict diagonal dominance. We extend β-matrices to tensors and call them β-tensors. Although they are not in general P-tensors, we prove that nonnegative β-tensors of odd order are P-tensors.
DOI : 10.2298/FIL2213331O
Classification : 15A15, 15A69, 15B48
Keywords: positive determinants, P-matrices, P-tensors 
H Orera; J M Peña. Β-matrices and β-tensors. Filomat, Tome 36 (2022) no. 13, p. 4331 . doi: 10.2298/FIL2213331O
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     author = {H Orera and J M Pe\~na},
     title = {B-matrices and \ensuremath{\beta}-tensors},
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     doi = {10.2298/FIL2213331O},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2213331O/}
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