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Communication Dans Un Congrès Année : 2011

Semi-algebraic canonical decomposition of multi-way arrays and joint eigenvalue decomposition

Laurent Albera

Résumé

A semi-algebraic algorithm based on Joint EigenValue Decomposition (JEVD) is proposed to compute the CP decomposition of multi-way arrays. The iterative part of the method is thus limited to the JEVD computation. In addition it involves less restrictive hypothesis than other recent semi-algebraic approaches. We also propose an original JEVD technique based on the LU factorization. Numerical examples highlight the main advantages of the proposed methods to solve both the JEVD and CP problems.
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Dates et versions

hal-00595092 , version 1 (23-09-2011)

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Xavier Luciani, Laurent Albera. Semi-algebraic canonical decomposition of multi-way arrays and joint eigenvalue decomposition. The 36th International Conference on Acoustics, Speech and Signal Processing (ICASSP 2011), May 2011, Prague, Czech Republic. pp.4104-4107, ⟨10.1109/ICASSP.2011.5947255⟩. ⟨hal-00595092⟩
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