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.

Full Text (PDF) [1.2 MB]

Key words

multilinear algebra, tensor products, factorization of matrices

AMS subject classifications

15A69, 15A23

< Back