The least square algorithm is to choose the parameters that would minimize the deviations of the theoretical curve(s) from the experimental points. Where is the independent variables and is the parameters. Origin provides options of different algorithm, which have different iterative procedure and statistics to define minimum distance.Ī general nonlinear model can be expressed as follows:
Generally we can describe the process of nonlinear curve fitting as below. The aim of nonlinear fitting is to estimate the parameter values which best describe the data.
1.1.2.1 Levenberg-Marquardt (L-M) Algorithm.