Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $\mathcal{H}$-inverses for RBF interpolation   We 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 $\mathcal{H}$-matrix format if
the block structure of the $\mathcal{H}$-matrix arises from a standard
clustering algorithm.

4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio