Finding symbolic Hessian matrix for a function

Question

I have the pseudocode function f(x,y)=x+y, and I want to find the symbolic Hessian matrix (2x2 second order partial derivative matrix) using Matlab. How do I do this?

Here is my first attempt, which is very far from the correct syntax:

syms x y
f=x+y
f_jacobian = jacobian(f, [x, y])
f_hessian = jacobian(f_jacobian,[x,y])

In this simple case, because your function is linear, its Hessian is the zero matrix. — jub0bs, Sep 12 '15 at 10:32
yeah, wasn't for the equation, just trying to figure out the syntax — Andrew Hundt, Sep 12 '15 at 17:49

score 3 · Accepted Answer · answered Sep 11 '15 at 19:23

3

You can use hessian. From the example:

syms x y z 
f = x*y + 2*z*x;
hessian(f,[x,y,z])


ans =
[ 0, 1, 2]
[ 1, 0, 0]
[ 2, 0, 0]

answered Sep 11 '15 at 19:23

yhenon

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Finding symbolic Hessian matrix for a function

1 Answers1