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- W2024166170 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." @default.
- W2024166170 created "2016-06-24" @default.
- W2024166170 creator A5009006026 @default.
- W2024166170 date "2006-01-01" @default.
- W2024166170 modified "2023-10-01" @default.
- W2024166170 title "A Link between the Canonical Decomposition in Multilinear Algebra and Simultaneous Matrix Diagonalization" @default.
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- W2024166170 doi "https://doi.org/10.1137/040608830" @default.
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