An -type singular value inclusion set for rectangular tensors.

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Caili Sang

Author Information

Caili Sang: College of Data Science and Information Engineering, Guizhou Minzu University, Guiyang, Guizhou 550025 P.R. China.

PMID: 28680244 DOI: 10.1186/s13660-017-1421-0

An -type singular value inclusion set for rectangular tensors is given. Based on the set, new upper and lower bounds for the largest singular value of nonnegative rectangular tensors are obtained and proved to be sharper than some existing results. Numerical examples are given to verify the theoretical results.

inclusion set nonnegative tensors rectangular tensors singular value

J Inequal Appl. 2017;2017(1):64 [PMID: 28386164]
J Inequal Appl. 2017;2017(1):105 [PMID: 28553055]

Journal Article

A new -type upper bound for the largest singular value of nonnegative rectangular tensors.Two -type -eigenvalue inclusion sets for tensors.A new -type eigenvalue inclusion set for tensors and its applications.An eigenvalue localization set for tensors and its applications.A new -eigenvalue localization set for tensors.New inclusion sets for singular values.Gradient-type algorithms for partial singular value decomposition.Products of rectangular random matrices: singular values and progressive scattering.Extreme value theory for singular measures.Solving the low dimensional Smoluchowski equation with a singular value basis set.

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