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Perron-Frobenius theorem for nonnegative tensors. (English) Zbl 1147.15006

Commun. Math. Sci. 6, No. 2, 507-520 (2008); errata ibid. 10, No. 3, 1025 (2012).
The authors generalize the Perron-Frobenius theorem for nonnegative matrices to the class of nonnegative tensors.

MSC:

15A18 Eigenvalues, singular values, and eigenvectors
15A69 Multilinear algebra, tensor calculus
15B48 Positive matrices and their generalizations; cones of matrices
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