# Computing Extreme Eigenvalues of Large Scale Hankel Tensors

@article{Chen2016ComputingEE,
title={Computing Extreme Eigenvalues of Large Scale Hankel Tensors},
author={Yannan Chen and Liqun Qi and Qun Wang},
journal={Journal of Scientific Computing},
year={2016},
volume={68},
pages={716-738}
}
• Published 28 April 2015
• Mathematics
• Journal of Scientific Computing
Large scale tensors, including large scale Hankel tensors, have many applications in science and engineering. In this paper, we propose an inexact curvilinear search optimization method to compute Z- and H-eigenvalues of mth order n dimensional Hankel tensors, where n is large. Owing to the fast Fourier transform, the computational cost of each iteration of the new method is about $$\mathcal {O}(mn\log (mn))$$O(mnlog(mn)). Using the Cayley transform, we obtain an effective curvilinear search…
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