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An S-type upper bound for the largest singular value of nonnegative rectangular tensors

A new \(S\)-type upper bound for the largest singular value of nonnegative rectangular tensors
Authors: Jianxing Zhao; Caili Sang;

An S-type upper bound for the largest singular value of nonnegative rectangular tensors

Abstract

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.

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Keywords

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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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
10
Top 10%
Top 10%
Top 10%
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gold
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