NON LINEAR LEAST SQUARES COMPUTER ANALYSIS OF MOSSBAUER TRANSMISSION SPECTRA,

Abstract

It is known that computer programs which utilize blind search and maximum slope methods to fit a non-linear N-parameter function to experimental Mossbauer data are slow and unreliable, and if N is 'large,' say N > 10 they cannot be used. The Hartley-modified Gauss-Newton method for fitting nonlinear functions by least squares and was applied to the fitting of Mossbauer data. Using this modified Gauss-Newton method, computer running time was reduced by roughly a factor of 20, and it was possible to fit functions with as many as 30 parameters in a few minutes.

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1967
Accession Number
AD0654929

Entities

People

  • Bruce L. Chrisman
  • Thomas A. Tumolillo

Organizations

  • University of Illinois Urbana–Champaign

Tags

DTIC Thesaurus Topics

  • Computer Programs
  • Computers
  • Computing Devices
  • Spectra

Fields of Study

  • Physics

Readers

  • Computational Modeling and Simulation
  • Regression Analysis.
  • Solar Physics