MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

Technical Report

Approximation of functions by exponential sums based on the Newton-type optimisation

Wolfgang Hackbusch, Boris N. Khoromskij and Andreas Klaus


In this paper we describe and document an algorithm for solving the nonlinear optimisation problem by an adaptive Newton-type method arising from approximation of functions by exponential sums. The algorithm can be applied to efficient representation of multi-dimensional non-local operators and related matrices.