Accession Number : AD0724177

Title :   Computation of Smoothing and Interpolating Natural Splines Via Local Bases,

Corporate Author : TEXAS UNIV AUSTIN CENTER FOR NUMERICAL ANALYSIS

Personal Author(s) : Lyche,Tom ; Schumaker,Larry L.

Report Date : APR 1971

Pagination or Media Count : 23

Abstract : It is shown how smoothing splines can be computed using local bases by solving a linear system with a small number of bands. Interpolating splines are a special case. Recursion relations are developed which permit rapid, efficient, and accurate computation of the basis elements, and of the coefficients. (Author)

Descriptors :   (*APPROXIMATION(MATHEMATICS), FUNCTIONS(MATHEMATICS)), (*INTERPOLATION, NUMERICAL ANALYSIS), CURVE FITTING, COMPUTER PROGRAMMING, ALGORITHMS, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE