Geodesic
Fast evaluation of real and complex exponential sums
Electronic transactions on numerical analysis, Tome 46 (2017), pp. 23-35.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Recently, the butterfly approximation scheme and hierarchical approximations have been proposed for the efficient computation of integral transforms with oscillatory or 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.
Classification : 65T50, 42A15, 30E10, 65D05, 65F30
Keywords: trigonometric approximation, nonharmonic Fourier series, fast Fourier transform, integral transforms, hierarchical matrices 
@article{ETNA_2017__46__a12,
     author = {Kunis, Stefan and Melzer, Ines},
     title = {Fast evaluation of real and complex exponential sums},
     journal = {Electronic transactions on numerical analysis},
     pages = {23--35},
     publisher = {mathdoc},
     volume = {46},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2017__46__a12/}
}
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Kunis, Stefan; Melzer, Ines. Fast evaluation of real and complex exponential sums. Electronic transactions on numerical analysis, Tome 46 (2017), pp. 23-35. http://geodesic.mathdoc.fr/item/ETNA_2017__46__a12/