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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Bibliographic Details

Published in:	Linear & multilinear algebra Vol. 67; no. 7; pp. 1364 - 1391
Main Authors:	Che, Maolin, Bu, Changjiang, Qi, Liqun, Wei, Yimin
Format:	Journal Article
Language:	English
Published:	Abingdon Taylor & Francis 03.07.2019 Taylor & Francis Ltd
Subjects:	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
Online Access:	Get full text
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