Singular values of a real rectangular tensor
type: Item
instance of: scholarly article
title: Singular values of a real rectangular tensor
zbMATH Open document ID: 1201.15003
author: Kung Ching Chang
author: Liqun Qi
author: Guanglu Zhou
published in: Journal of Mathematical Analysis and Applications
publication date: 2010-07-20T00:00:00Z
full work available at URL: http://hdl.handle.net/20.500.11937/27506
review text: Eigenvalues for real square tensors have been introduced and nice properties such as the Perron-Frobenius theorem for eigenvalues of nonnegative square tensors have been obtained in recent years. Real rectangular tensors arise from the strong ellipticity condition problem in solid mechanics and the entanglement problem in quantum physics. In this paper the authors study the 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 examples are given to show the efficiency of the algorithm.
reviewed by: Jaspal Singh Aujla
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 15A22
Mathematics Subject Classification ID: 65F20
Mathematics Subject Classification ID: 15A72
zbMATH DE Number: 5757953
zbMATH Keywords: singular value
zbMATH Keywords: rectangular tensor
zbMATH Keywords: algorithm
zbMATH Keywords: eigenvalues
zbMATH Keywords: Perron-Frobenius theorem
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
OpenAlex ID: W2019819801
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DOI: 10.1016/J.JMAA.2010.04.037
description: scientific article; zbMATH DE number 5757953