Tensor decomposition is any scheme for expressing a tensor as a sequence of elementary operations acting on other, often simpler tensors. Many tensor decompositions generalize some matrix decompositions.
The main tensor decompositions are:tensor rank decomposition;higher-order singular value decomposition;Tucker decomposition;matrix product states, or tensor trains;hierarchical Tucker decomposition; and block term decomposition.
TensorLet is committed to tensor decompostion for mean years.