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Journal of inequalities and applications
2017;2017 (1): 105.

A new -type upper bound for the largest singular value of nonnegative rectangular tensors.

Jianxing Zhao, Caili Sang
Author Information
  1. Jianxing Zhao: College of Data Science and Information Engineering, Guizhou Minzu University, Guiyang, Guizhou 550025 P.R. China. ORCID
  2. Caili Sang: College of Data Science and Information Engineering, Guizhou Minzu University, Guiyang, Guizhou 550025 P.R. China.
PMID: 28553055 DOI: 10.1186/s13660-017-1382-3

Abstract

By breaking [Formula: see text] into disjoint subsets and its complement, a new -type upper bound for the largest singular value of nonnegative rectangular tensors is given and proved to be better than some existing ones. Numerical examples are given to verify the theoretical results.

Keywords

nonnegative tensor rectangular tensor singular value

References

  1. J Inequal Appl. 2017;2017(1):105 [PMID: 28553055]
Journal Article

Word Cloud

Created with Highcharts 10.0.0singularvaluenonnegativerectangularnew-typeupperboundlargesttensorsgiventensorbreaking[Formula:seetext]disjointsubsetscomplementprovedbetterexistingonesNumericalexamplesverifytheoreticalresults

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