
Accession Number : AD0641341
Title : A RECURSION RELATION FOR COMPUTING LEASTSQUARE POLYNOMIALS OVER MOVINGARCS,
Corporate Author : BALLISTIC RESEARCH LABS ABERDEEN PROVING GROUND MD
Personal Author(s) : Trimble,George R.
Report Date : NOV 1951
Pagination or Media Count : 15
Abstract : The smoothing of data may be accomplished on automatic computing machines such as the IBM CardProgrammed Electronic Calculator or the Eniac by fitting leastsquare polynomials over movingarcs. Essentially it consists of fitting leastsquare polynomials successively over finite subsets of a given finite set of real points in a plane. The difficulty with the procedure has been in the small number of storage registers available in the machines. By means of the recursion relation between coefficients of successive leastsquare polynomials as derived in the report, the number of required storage registers is materially reduced, making practicable the application of the IBM CardProgrammed Electronic Calculator or the Eniac to this type of problem. (Author)
Descriptors : (*POLYNOMIALS, *LEAST SQUARES METHOD), NUMERICAL ANALYSIS, SERIES(MATHEMATICS), MATHEMATICAL LOGIC
Subject Categories : Statistics and Probability
Distribution Statement : APPROVED FOR PUBLIC RELEASE