A method of adding-removing knots for solving smoothing problems with obstacles

摘要

We study a method of adding-removing knots that has been proposed in the literature for solving the smoothing problem with obstacles. The method uses the coefficients of natural splines in the expansion by radial basis functions. We present examples of cycling and counterexamples to possible use of some ideas. We also give some sufficient conditions for finiteness of the method. (c) 2007 Elsevier B.V. All rights reserved.