Approximate tensor diagonalization by invertible transforms

Abstract : Multilinear techniques are increasingly used in Signal Processing and Factor Analysis. In particular, it is often of interest to transform a tensor into another that is as diagonal as possible or to simultaneously transform a set matrices into a set of matrices that are close to diagonal. In this paper we propose a parameterization of the general linear group. Based on this parameterization Jacobi-type procedures for congruent diagonalization and multilinear decomposition problems are developed. Comparisons with an existing congruent diagonalization algorithm is reported.
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Communication dans un congrès
Eurasip. European Signal Processing Conference, Aug 2009, Glasgow, United Kingdom. Elsevier, pp.4, 2009, <http://www.eurasip.org/Proceedings/Eusipco/Eusipco2009/contents/papers/1569186462.pdf>
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Mikael Sorensen, Pierre Comon, Sylvie Icart, Luc Deneire. Approximate tensor diagonalization by invertible transforms. Eurasip. European Signal Processing Conference, Aug 2009, Glasgow, United Kingdom. Elsevier, pp.4, 2009, <http://www.eurasip.org/Proceedings/Eusipco/Eusipco2009/contents/papers/1569186462.pdf>. <hal-00435893>

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