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Some inequalities on the spectral radius of nonnegative tensors. (English) Zbl 1442.15015

Summary: The eigenvalues and the spectral radius of nonnegative tensors have been extensively studied in recent years. In this paper, we investigate the analytic properties of nonnegative tensors and give some inequalities on the spectral radius.

MSC:

15A18 Eigenvalues, singular values, and eigenvectors
15A39 Linear inequalities of matrices
15A69 Multilinear algebra, tensor calculus
15A60 Norms of matrices, numerical range, applications of functional analysis to matrix theory
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