Title: A link between the canonical decomposition in multilinear algebra and simultaneous matrix diagonalization
Authors: De Lathauwer, Lieven # ×
Issue Date: 2006
Publisher: Society for Industrial and Applied Mathematics
Series Title: SIAM Journal on Matrix Analysis and Applications vol:28 issue:3 pages:642-666
Abstract: Canonical decomposition is a key concept in multilinear algebra. In this paper we consider the decomposition of higher-order tensors which have the property that the rank is smaller than the greatest dimension. We derive a new and relatively weak deterministic sufficient condition for uniqueness. The proof is constructive. It shows that the canonical components can be obtained from a simultaneous matrix diagonalization by congruence, yielding a new algorithm. From the deterministic condition we derive an easy-to-check dimensionality condition that guarantees generic uniqueness.
ISSN: 0895-4798
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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