A new convergence proof for the higher-order power method and generalizations
Optimization and Control
2015-01-26 v2 Numerical Analysis
Abstract
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 \L{}ojasiewicz inequalities to the equivalent, unconstrained alternating least squares algorithm for best rank-one tensor approximation.
Cite
@article{arxiv.1407.4586,
title = {A new convergence proof for the higher-order power method and generalizations},
author = {André Uschmajew},
journal= {arXiv preprint arXiv:1407.4586},
year = {2015}
}