Geodesic
Iterative methods for symmetric outer product tensor decomposition
Electronic transactions on numerical analysis, Tome 44 (2015), pp. 124-139
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.
Classification : 15A69, 15A23
Keywords: multilinear algebra, tensor products, factorization of matrices 
@article{ETNA_2015__44__a24,
     author = {Li,  Na and Navasca,  Carmeliza and Glenn,  Christina},
     title = {Iterative methods for symmetric outer product tensor decomposition},
     journal = {Electronic transactions on numerical analysis},
     pages = {124--139},
     year = {2015},
     volume = {44},
     zbl = {1312.65045},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2015__44__a24/}
}
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%A Glenn,  Christina
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Li,  Na; Navasca,  Carmeliza; Glenn,  Christina. Iterative methods for symmetric outer product tensor decomposition. Electronic transactions on numerical analysis, Tome 44 (2015), pp. 124-139. http://geodesic.mathdoc.fr/item/ETNA_2015__44__a24/