Nonlinear Least Squares Algorithm

by Mohamed F. Madkour, Tech. Adviser; Surveying Dept. of Libya, Tripoli, Libya,

Serial Information: Journal of the Surveying and Mapping Division, 1972, Vol. 98, Issue 2, Pg. 185-200

Document Type: Journal Paper


The usual first order least squares adjustment procedure of sets of observation equations is extended in this paper to a second order algorithm. Accordingly, the effect of the usually omitted higher order terms is partially considered. The precision of the solution of the developed nonlinear least squares algorithm is fully presented herein. A practical comparison between linear and nonlinear least squares solution shows the superiority of the second order least squares algorithm.

Subject Headings: Least squares method | Algorithms | Comparative studies | Linear functions

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