Based on the homotopy idea,an improved homotopy algorithm was proposed in order to search a more efficient algorithm for nonlinear least squares adjustment.

Implementation of nonlinear least square with global convergence in Forstat

The Gauss-Newton method is applied to solve the nonlinear least square equations and a simple and applicable iterative formula is deduced, which is locally convergent and divergent sometimes.

Through transferring solution procedure,the problem was inverted into nonlinear least square optimization process with constraint conditions in two stages using function lambertw and function lsqnonlin.

Algorithm of nonlinear least squares adjustment of any plane networks with coordinates computed automatically;

A new newton iterative algorithm for solving nonlinear least squares problem;

Unified model and ill-posed property of numerical iterative formula for solving nonlinear least squares problem;

On the basis of the homotopy arithmetic, this paper puts forward a uniform model of nonlinear least square (LS) adjustment, which can be used not only for the nonlinear LS adjustment of the rank defect problems, but also for that of the rank full problems.

The blending coefficients of tobacco flavors were calculated by nonlinear least-squares regression based on the datum of area of chromatography peaks which were determinated by high performance liquid-chromatography(HPLC) bound with wavelength switching.