Abstract
AbstractWe consider the interpolation problem for a class of radial basis functions (RBFs) that includes the classical polyharmonic splines (PHS). We show that the inverse of the system matrix for this interpolation problem can be approximated at an exponential rate in the block rank in the $$\mathcal {H}$$
H
-matrix format, if the block structure of the $$\mathcal {H}$$
H
-matrix arises from a standard clustering algorithm.
Funder
Österreichische Forschungsförderungsgesellschaft
TU Wien
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics
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