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

  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},
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
Highly Influential
This paper has highly influenced 17 other papers. REVIEW HIGHLY INFLUENTIAL CITATIONS
Highly Cited
This paper has 260 citations. REVIEW CITATIONS

9 Figures & Tables



Citations per Year

261 Citations

Semantic Scholar estimates that this publication has 261 citations based on the available data.

See our FAQ for additional information.