Volume 44, pp. 124-139, 2015.

Iterative methods for symmetric outer product tensor decomposition

Na Li, Carmeliza Navasca, and Christina Glenn


We study the symmetric outer product for tensors. Specifically, we look at decompositions of a fully (partially) symmetric tensor into a sum of rank-one fully (partially) symmetric tensors. We present an iterative technique for third-order partially symmetric tensors and fourth-order fully and partially symmetric tensors. We include several numerical examples which indicate faster convergence for the new algorithms than for the standard method of alternating least squares.

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Key words

multilinear algebra, tensor products, factorization of matrices

AMS subject classifications

15A69, 15A23

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