APPROXIMATION BY CUBIC SPLINE WITH RESPECT TO EUCLIDEAN NORM,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1970
- Accession Number
- AD0700973
Entities
People
- Palmer R. Schlegel
Organizations
- Ballistic Research Laboratory