The Matlab Radial Basis Function Toolbox

Abstract

Radial Basis Function (RBF) methods are important tools for scattered data interpolation and for the solu- tion of Partial Differential Equations in complexly shaped domains. The most straight forward approach used to evaluate the methods involves solving a linear system which is typically poorly conditioned. The Matlab Radial Basis Function toolbox features a regularization method for the ill-conditioned system, extended precision floating point arithmetic, and symmetry exploitation for the purpose of reducing flop counts of the associated numerical linear algebra algorithms. Keywords: