Accession Number : AD0697782

Title :   AN ITERATIVE ALGORITHM FOR LEAST-SQUARES RATIONAL POLYNOMIAL APPROXIMATION,

Corporate Author : AEROSPACE CORP EL SEGUNDO CALIF ENGINEERING SCIENCE OPERATIONS

Personal Author(s) : Larson,Ronald V.

Report Date : 31 JUL 1969

Pagination or Media Count : 18

Abstract : Two empirical methods of approximating nonlinear functions with rational polynomials have already been successfully demonstrated by the author and L. D. Kovach. It was shown that these approximations produce considerably less error than those of polynomials with exponents restricted to integers. In an extension of this work, an iterative algorithm is presented that allows rational polynomial approximations to be computed analytically. Numerical examples are included. (Author)

Descriptors :   (*COMPUTER PROGRAMMING, NUMERICAL ANALYSIS), (*APPROXIMATION(MATHEMATICS), *POLYNOMIALS), LEAST SQUARES METHOD, ITERATIONS, TRANSCENDENTAL FUNCTIONS, ALGORITHMS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE