Fast evaluation of real and complex exponential sums

Stefan Kunis; Ines Melzer

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arXiv · 1606.03255

Fast evaluation of real and complex exponential sums

Stefan Kunis·Ines Melzer

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Abstract

Recently, the butterfly approximation scheme and hierarchical approximations have been proposed for the efficient computation of integral transforms with oscillatory and with asymptotically smooth kernels. Combining both approaches, we propose a certain fast Fourier-Laplace transform, which in particular allows for the fast evaluation of polynomials at nodes in the complex unit disk. All theoretical results are illustrated by numerical experiments.

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Stefan Kunis, Ines Melzer. 2016-06-10. Fast evaluation of real and complex exponential sums. https://arxiv.org/abs/1606.03255

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