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

Wolfgang Hackbusch, Boris N. Khoromskij, and Andreas Klaus
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Submission date: 27. Apr. 2005
Pages: 17
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Abstract:
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.