A New Convergence Proof For The Higher-Order Power Method And Generalizations

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.


Published in:
Pacific Journal Of Optimization, 11, 2, 309-321
Year:
2015
Publisher:
Yokohama, Yokohama Publ
ISSN:
1348-9151
Keywords:
Laboratories:




 Record created 2015-09-28, last modified 2018-09-13


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