NON LINEAR LEAST SQUARES COMPUTER ANALYSIS OF MOSSBAUER TRANSMISSION SPECTRA,
ILLINOIS UNIV URBANA DEPT OF PHYSICS
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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.
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