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

Evely Leetma and Peeter Oja

European Journal of Operational Research, 2009, vol. 194, issue 1, 28-38

Abstract: 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.

Keywords: Splines; Multivariate; natural; splines; Smoothing; problems (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:194:y:2009:i:1:p:28-38

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