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Title: First-order perturbation analysis of the best rank-(R-1, R-2, R-3) approximation in multilinear algebra
Authors: De Lathauwer, Lieven # ×
Issue Date: Jan-2004
Publisher: John wiley & sons ltd
Series Title: Journal of chemometrics vol:18 issue:1 pages:2-11
Abstract: In this paper we perform a first-order perturbation analysis of the least squares approximation of a given higher-order tensor by a tensor having prespecified n-mode ranks. This work generalizes the classical first-order perturbation analysis of the matrix singular value decomposition. We will show that there are important differences between the matrix and the higher-order tensor case. We subsequently address (1) the best rank-1 approximation of supersymmetric tensors, (2) the best rank-(R-1, R-2, R-3) approximation of arbitrary tensors and (3) the best rank-(R-1, R-2, R-3) approximation of arbitrary tensors. Copyright (C) 2004 John Wiley Sons, Ltd.
URI: 
ISSN: 0886-9383
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Faculty of Science, Campus Kulak Kortrijk
× corresponding author
# (joint) last author

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