Accession Number : AD0700973

Title :   APPROXIMATION BY CUBIC SPLINE WITH RESPECT TO EUCLIDEAN NORM,

Corporate Author : BALLISTIC RESEARCH LABS ABERDEEN PROVING GROUND MD

Personal Author(s) : Schlegel,Palmer R.

Report Date : JAN 1970

Pagination or Media Count : 16

Abstract : The use of a cubic spline function for an interpolation procedure has produced very good results in approximation of derivatives of functions represented by smooth data. If one attempts to construct a cubic spline function for a set of data which contains round off error, this property may be lost. In this paper a 'smoothing' procedure is developed by finding the best cubic spline function, that is, over the class of cubic spline functions, we will determine the one which minimizes the Euclidean norm. (Author)

Descriptors :   (*FUNCTIONS(MATHEMATICS), *APPROXIMATION(MATHEMATICS)), CURVE FITTING, INTERPOLATION, ALGORITHMS, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE