Wedderburn rank reduction and Krylov subspace method for tensor approximation. Part 1: Tucker case

S. A. Goreinov, I. V. Oseledets, D. V. Savostyanov

New algorithms are proposed for the Tucker approximation of a 3-tensor, that access it using only the tensor-by-vector-by-vector multiplication subroutine. In the matrix case, Kryl…