A proof for the point-wise convergence of the factors in the higher-order power method for tensors towards a critical point is given. It is obtained by applying established results from the theory of Lojasiewicz inequalities to the equivalent, unconstrained alternating least squares algorithm for best rank-one tensor approximation.
Giacomo Rosilho De Souza, Matteo Croci
Volkan Cevher, Ali Kavis, Shaul Nadav Hallak
John Richard Thome, Gustavo Rabello Dos Anjos, Gustavo Charles Peixoto de Oliveira