Accession Number : AD0433175

Title :   COMPUTATIONAL ASPECTS OF APPROXIMATION THEORY,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Boehm,Barry

Report Date : MAR 1964

Pagination or Media Count : 106

Abstract : The theory of approximation by polynomials and rational functions is of considerable practical significance, due in great part to the efficiency of polynomials and rational functions in representing functions on a high-speed digital computer. Some of the more useful theoretical results are presented along with their interrelations and some of the practical consequences are pointed out. Topics include problems of existence, uniqueness, characterization, and error estimation of best approximations, and algorithms for interpolation and for obtaining best leastsquares and Chebyshev approximations. (Author)

Descriptors :   (*NUMERICAL ANALYSIS, THEORY), PROBABILITY, LEAST SQUARES METHOD, INEQUALITIES, POLYNOMIALS, FUNCTIONS(MATHEMATICS), COMPLEX VARIABLES, DETERMINANTS(MATHEMATICS), GAME THEORY

Distribution Statement : APPROVED FOR PUBLIC RELEASE