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arXiv · 1407.4586

A new convergence proof for the higher-order power method and generalizations

André Uschmajew
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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.

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André Uschmajew. 2014-07-17. A new convergence proof for the higher-order power method and generalizations. https://arxiv.org/abs/1407.4586

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