Find a point x∗ satisfying necessary conditions for a minimum of

f (x) = (x1 − 2)^4 + (x1 − 2 x2 )^2 by using Newton’s method with an initial guess x(0)= [ 1.83 0.91]. Using Matlab. I need full solution using matlab. Please help me.

[John D'Errico]

This is YOUR homework. I'm pretty sure it was assigned to you, not to us. Well, I would have remembered it anyway.

If you need a solution, then you need to do your homework. Answers is not here to do your homework for you. Unless of course, you are willing to pay, and to pay quite well. For that, we would not go cheaply either. And you would learn nothing. So I recommend that you sit down, and start writing. MAKE AN EFFORT.