A RECURSION RELATION FOR COMPUTING LEAST-SQUARE POLYNOMIALS OVER MOVING-ARCS,

Abstract

The smoothing of data may be accomplished on automatic computing machines such as the IBM Card-Programmed Electronic Calculator or the Eniac by fitting least-square polynomials over moving-arcs. Essentially it consists of fitting least-square 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 least-square polynomials as derived in the report, the number of required storage registers is materially reduced, making practicable the application of the IBM Card-Programmed Electronic Calculator or the Eniac to this type of problem. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1951
Accession Number
AD0641341

Entities

People

  • George R. Trimble

Organizations

  • Ballistic Research Laboratory

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Automatic
  • Calculators
  • Coefficients
  • Mathematics
  • Polynomials

Readers

  • Computer Science.
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Technology Areas

  • Microelectronics