
Abstract An S-type upper bound for the largest singular value of a nonnegative rectangular tensor is given by breaking N = {1, 2, … n} into disjoint subsets S and its complement. It is shown that the new upper bound is smaller than that provided by Yang and Yang (2011). Numerical examples are given to verify the theoretical results.
15a18, Eigenvalues, singular values, and eigenvectors, Numerical solutions to overdetermined systems, pseudoinverses, Research, 15a42, rectangular tensor, singular value, nonnegative tensor, 15a69, Inequalities involving eigenvalues and eigenvectors, numerical example, Multilinear algebra, tensor calculus, QA1-939, Mathematics
15a18, Eigenvalues, singular values, and eigenvectors, Numerical solutions to overdetermined systems, pseudoinverses, Research, 15a42, rectangular tensor, singular value, nonnegative tensor, 15a69, Inequalities involving eigenvalues and eigenvectors, numerical example, Multilinear algebra, tensor calculus, QA1-939, Mathematics
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