Singular values of a real rectangular tensor

Kungching Chang; Liqun Qi; Guanglu Zhou

doi:10.1016/j.jmaa.2010.04.037

Singular values of a real rectangular tensor

Kungching Chang, Liqun Qi, Guanglu Zhou

Research output: Journal article publication › Journal article › Academic research › peer-review

57 Citations (Scopus)

Abstract

Real rectangular tensors arise from the strong ellipticity condition problem in solid mechanics and the entanglement problem in quantum physics. In this paper, we systematically study properties of singular values of a real rectangular tensor, and give an algorithm to find the largest singular value of a nonnegative rectangular tensor. Numerical results show that the algorithm is efficient.

Original language	English
Pages (from-to)	284-294
Number of pages	11
Journal	Journal of Mathematical Analysis and Applications
Volume	370
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2010.04.037
Publication status	Published - 1 Oct 2010

Keywords

Algorithm
Nonnegative tensor
Partially symmetric tensor
Rectangular tensor
Singular value

ASJC Scopus subject areas

Analysis
Applied Mathematics

More information

10.1016/j.jmaa.2010.04.037

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abstract = "Real rectangular tensors arise from the strong ellipticity condition problem in solid mechanics and the entanglement problem in quantum physics. In this paper, we systematically study properties of singular values of a real rectangular tensor, and give an algorithm to find the largest singular value of a nonnegative rectangular tensor. Numerical results show that the algorithm is efficient.",

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KW - Nonnegative tensor

KW - Partially symmetric tensor

KW - Rectangular tensor

KW - Singular value

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DO - 10.1016/j.jmaa.2010.04.037

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Singular values of a real rectangular tensor

Abstract

Keywords

ASJC Scopus subject areas

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