
Abstract In this paper, we give a new bound for the largest singular value of nonnegative rectangular tensors when m = n, which is tighter than the bound provided by Yang and Yang in “Singular values of nonnegative rectangular tensors”, Front. Math. China, 2011, 6, 363-378.
15a18, 65f15, Eigenvalues, singular values, and eigenvectors, rectangular tensor, singular value, largest singular value, 15a69, Inequalities involving eigenvalues and eigenvectors, bound, Multilinear algebra, tensor calculus, QA1-939, nonnegative rectangular tensors, 65f10, Mathematics
15a18, 65f15, Eigenvalues, singular values, and eigenvectors, rectangular tensor, singular value, largest singular value, 15a69, Inequalities involving eigenvalues and eigenvectors, bound, Multilinear algebra, tensor calculus, QA1-939, nonnegative rectangular tensors, 65f10, Mathematics
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