On the Best Rank-1 Approximation of Higher-Order Supersymmetric Tensors

@article{Kofidis2002OnTB,
  title={On the Best Rank-1 Approximation of Higher-Order Supersymmetric Tensors},
  author={Eleftherios Kofidis and Phillip A. Regalia},
  journal={SIAM J. Matrix Analysis Applications},
  year={2002},
  volume={23},
  pages={863-884}
}
Recently the problem of determining the best, in the least-squares sense, rank-1 approximation to a higher-order tensor was studied and an iterative method that extends the wellknown power method for matrices was proposed for its solution. This higher-order power method is also proposed for the special but important class of supersymmetric tensors, with no change. A simplified version, adapted to the special structure of the supersymmetric problem, is deemed unreliable, as its convergence is… CONTINUE READING
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