Nonnegative tensors revisited: plane stochastic tensors

In this paper, we develop and enrich the theory of nonnegative tensors. We define the sign nonsingular tensors and establish the relationship between the combinatorial determinant and the permanent of nonnegative tensors. We generalize the results from doubly stochastic matrices to totally plane sto...

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Vydáno v:	Linear & multilinear algebra Ročník 67; číslo 7; s. 1364 - 1391
Hlavní autoři:	Che, Maolin, Bu, Changjiang, Qi, Liqun, Wei, Yimin
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Abingdon Taylor & Francis 03.07.2019 Taylor & Francis Ltd
Témata:	Algorithms Combinatorial analysis combinatorial determinant diagonal product Lower bounds Mathematical analysis Nonnegative tensor normalization algorithm Operations research plane stochastic tensors positive diagonal Quantum theory sign nonsingular tensor tensor permanent Tensors
ISSN:	0308-1087, 1563-5139
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