Hessian matrix using m-file

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Matheus
Matheus on 18 Aug 2017
Edited: John D'Errico on 18 Aug 2017
I would like to calculate a Hessian matrix of a function in the following way:
hessian('fob_8_52', [4 6])
fob_8_52.m is a file where I declared my function

Answers (1)

John D'Errico
John D'Errico on 18 Aug 2017
Edited: John D'Errico on 18 Aug 2017
If you just need to compute the hessian matrix of a general function (often called a black box: you pass stuff into the black box and stuff comes out, based on some unknown algorithm.)
As long as your function is reasonably well behaved, you can use my derivest toolbox, found on the file exchange .
I'll show it here, using a function handle.
rosen = @(x) (1-x(1)).^2 + 105*(x(2)-x(1).^2).^2;
Hmat = hessian(rosen,[2 3])
Hmat =
3782 -840
-840 210
If you have an m-file, just do this:
hessian(@fob_8_52, [4 6])
  2 Comments
Matheus
Matheus on 18 Aug 2017
I tried use this, but this message appears "Undefined function 'hessian' for input arguments of type 'function_handle'"
John D'Errico
John D'Errico on 18 Aug 2017
Edited: John D'Errico on 18 Aug 2017
Did you bother to download the toolbox from the file exchange and then put it on your search path? It won't appear as if by magic.

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