Title: On the best rank-1 and rank-$(R 1, R 2, ..., R N)$ Approximation and applications of higher-order tensors
Authors: De Lathauwer, Lieven ×
De Moor, Bart
Vandewalle, Joos #
Issue Date: 2000
Publisher: Siam publications
Series Title: SIAM journal on matrix analysis and applications vol:21 issue:4 pages:1324-1342
Abstract: In this paper we discuss a multilinear generalization of the best rank-R approximation problem for matrices, namely the approximation of a given higher-order tensor, in an optimal least-squares sense, by a tensor that has prespecified column rank value, row rank value, etc. For matrices, the solution is conceptually obtained by truncation of the singular value decomposition (SVD); however, this approach does not have a straightforward multilinear counterpart. We discuss higher-order generalizations of the power method and the orthogonal iteration method.
Description: \emph{SIAM J. Matrix Anal. Appl.}, vol. 21, no. 4, Apr. 2000
ISSN: 0895-4798
Publication status: published
KU Leuven publication type: IT
Appears in Collections:ESAT - STADIUS, Stadius Centre for Dynamical Systems, Signal Processing and Data Analytics
Faculty of Science, Campus Kulak Kortrijk
× corresponding author
# (joint) last author

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