English

Iterative Methods for Symmetric Outer Product Tensor Decompositions

Numerical Analysis 2013-12-31 v1

Abstract

We study the symmetric outer product decomposition which decomposes a fully (partially) symmetric tensor into a sum of rank-one fully (partially) symmetric tensors. We present iterative algorithms for the third-order partially symmetric tensor and fourth-order fully symmetric tensor. The numerical examples indicate a faster convergence rate for the new algorithms than the standard method of alternating least squares.

Keywords

Cite

@article{arxiv.1312.7629,
  title  = {Iterative Methods for Symmetric Outer Product Tensor Decompositions},
  author = {Na Li and Carmeliza Navasca},
  journal= {arXiv preprint arXiv:1312.7629},
  year   = {2013}
}
R2 v1 2026-06-22T02:36:40.378Z