\(l^{k,s}\)-singular values and spectral radius of rectangular tensors
type: Item
instance of: scholarly article
title: \(l^{k,s}\)-singular values and spectral radius of rectangular tensors
zbMATH Open document ID: 1272.15008
author: Chen Ling
author: Liqun Qi
published in: Frontiers of Mathematics in China
publication date: 2013-04-08T00:00:00Z
review text: This paper deals with spectral issues of real \((p,q)\)-th order \((m\times n)\)-dimensional rectangular tensors. The concepts of \(l^{k,s}\)-singular values/vectors of real nonnegative partially symmetric rectangular tensors are introduced and their properties are investigated. Then some results on singular values/vectors of rectangular tensors previously stated in the literature are extended to \(l^{k,s}\)-singular values/vectors. In particular, analog versions of the Perron-Frobenius theorem are proposed.
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 15A69
Mathematics Subject Classification ID: 15A72
zbMATH DE Number: 6151566
zbMATH Keywords: nonnegative rectangular tensor
zbMATH Keywords: \(l^{k,s}\)-singular value/vector
zbMATH Keywords: \(l^{k,s}\)-spectral radius
zbMATH Keywords: irreducibility
zbMATH Keywords: Perron-Frobenius theorem
reviewed by: João R. Cardoso
MaRDI profile type: Publication
full work available at URL: s11464-012-0265-7
OpenAlex ID: W2024359876
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DOI: 10.1007/S11464-012-0265-7
description: scientific article; zbMATH DE number 6151566