Tensor decompositions and applications. (English) Zbl 1173.65029

Kolda, Tamara G.; Bader, Brett W.

SIAM Rev. 51, No. 3, 455-500 (2009).

MSC:

65F20	Numerical solutions to overdetermined systems, pseudoinverses
15A69	Multilinear algebra, tensor calculus
65-02	Research exposition (monographs, survey articles) pertaining to numerical analysis
65Y15	Packaged methods for numerical algorithms
62H25	Factor analysis and principal components; correspondence analysis
65C60	Computational problems in statistics (MSC2010)

Keywords:

tensor decompositions; multiway arrays; multilinear algebra; parallel factors (PARAFAC); canonical decomposition (CANDECOMP); higher-order principal components analysis (Tucker); higher-order singular value decomposition (HOSVD); survey paper; software packages

Software:

Multilinear Engine; N-way Toolbox; PLS_Toolbox; TensorToolbox