Least square curve fit with out differentiation(Gramdeterminant method)

Give the basis functions and get the desired curve.

Description

            Curdat.m is a data file. You can change to get your
                    need.
            Polycurve.m is polynomial basis file.
            Graf.m is the user’s basis file. You can change to
                    match your choice.
            Curfit.m Gives the polynomial curve and the graph.
            Gramplot.m gives the curve for selected basis.
           
            Example ;
                    Gramplot() gives the result. Deviations and
                    locations are included.
                    Curfit(4) gives the result.

           Least square curve fit is the principle. In the formulation,
           differentiation is avoided. Instead,an inner-product is
           designed and Gram-matrix is created. The curve F is
   
                    F = ∑ ai fi ; i = 1..n
                    
                    ai are the parameters
                    fi are the basis functions
            

• Required Products: Symbolic Math Toolbox
• MATLAB release: MATLAB 7.9 (2009b)

[John D'Errico]

Sigh. 5 different functions, absolutely no help. All to do something amazingly simple (i.e., something that should take essentially ONE line in matlab.) Lots of loops. Uses the matrix inverse, instead of backslash. A hard coded model, so you need to edit this to change the model, IF you can find where to put it.