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The Computer Journal 1976 19(1):69-73; doi:10.1093/comjnl/19.1.69
© 1976 by British Computer Society
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Fitting data to nonlinear functions with uncertainties in all measurement variables

W. H. Southwell *

1818 Barker Way, Placentia, California, USA

An analytical approach is made to the nonlinear least squares problem having uncertainties in all measurements coordinates. It is shown how the unknown independent coordinates may be eliminated from the sum of the squares, thus reducing it to an ordinary minimisation problem. An algorithm is derived using analytical derivatives, but a simple procedure also allows the use of standard numerical derivatives.

Received April 1974.

* 1818 Barker Way, Placentia, California 92670, USA


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