@article {IOPORT.06031486, author = {Goreinov, S.A. and Oseledets, I.V. and Savostyanov, D.V.}, title = {Wedderburn rank reduction and Krylov subspace method for tensor approximation. I: Tucker case.}, year = {2012}, journal = {SIAM Journal on Scientific Computing}, volume = {34}, number = {1}, issn = {1064-8275}, pages = {A1-A27}, publisher = {Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA}, doi = {10.1137/100792056}, abstract = {The authors propose new algorithms for the Tucker approximation of a 3-tensor accessed only through a tensor-by-vector-by-vector multiplication subroutine. They introduce a matrix aproximation algorithm that computes the Krylov subspaces using the Wedderburn rank reduction formula. Numerical examples are also performed to show the quality of the proposed algorithms.}, reviewer = {R\u azvan R\u aducanu (Ia\c si)}, identifier = {06031486}, }