Using Levenberg-Marquardt method with matlab

Hi all, I have a question about the using of Levenberg-Marquardt method with matlab. In fact, I have the following system, and I aim to solve the minimization problem for the h function :

So, I can get the intial solution with the SVD method h0. Now I want to apply the Levenberg-Marquardt optimization ,then I define my objective function (1) and I got the (2) fucntion after some optimization :

So, how can I apply the Levenberg-Marquardt method to the second function (2) , that is to say how can I refine the solution by minimizing Eq (2) using L.M. with matlab??

Answer 1

[Torsten]

Any constraints on h ? If not, the obvious solution is h=0.

Best wishes

Torsten.

Answer 2

[Mokhtar Bouain]

Yes there is a constraint for h , ||h||2 = 1

Answer 3

[Mokhtar Bouain]

Any help please ?

[Torsten]

I don't understand why it should make a problem with objecive function (2) if you have a general Levenberg-Marquardt solver for equation (1).

Best wishes

Torsten.

[Mokhtar Bouain]

It's an optmimization for the intial solution h0