Accession Number : AD0654929

Title :   NON LINEAR LEAST SQUARES COMPUTER ANALYSIS OF MOSSBAUER TRANSMISSION SPECTRA,

Corporate Author : ILLINOIS UNIV URBANA DEPT OF PHYSICS

Personal Author(s) : Chrisman,Bruce L. ; Tumolillo,Thomas A.

Report Date : MAR 1967

Pagination or Media Count : 64

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.

Descriptors :   (*MOSSBAUER EFFECT, LEAST SQUARES METHOD), (*GAMMA RAY SPECTROSCOPY, COMPUTER PROGRAMS), EXPERIMENTAL DATA, NONLINEAR SYSTEMS, NUMERICAL ANALYSIS, FUNCTIONS(MATHEMATICS), FLOW CHARTING, SUBROUTINES

Subject Categories : Radiation and Nuclear Chemistry
      Computer Programming and Software
      Nuclear Physics & Elementary Particle Physics

Distribution Statement : APPROVED FOR PUBLIC RELEASE