A multilinear singular value decomposition (2000)
| Venue: | SIAM J. Matrix Anal. Appl |
| Citations: | 138 - 9 self |
BibTeX
@ARTICLE{Lathauwer00amultilinear,
author = {Lieven De Lathauwer and Bart De Moor and Joos Vandewalle},
title = {A multilinear singular value decomposition},
journal = {SIAM J. Matrix Anal. Appl},
year = {2000},
volume = {21},
pages = {1253--1278}
}
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Abstract
Abstract. We discuss a multilinear generalization of the singular value decomposition. There is a strong analogy between several properties of the matrix and the higher-order tensor decomposition; uniqueness, link with the matrix eigenvalue decomposition, first-order perturbation effects, etc., are analyzed. We investigate how tensor symmetries affect the decomposition and propose a multilinear generalization of the symmetric eigenvalue decomposition for pair-wise symmetric tensors.
