Question: minimize 1 0 0 x 2 + y 2 + 0 . 1 z 2 + x y + 0 . 1 y z 6

minimize 100x2+y2+0.1z2+xy+0.1yz6x+4y+6z+15

subject to(x,y,z)R3

Use the initial point x0=[10,10,10]

Use your codes of the steepest descent method, Newton's method, and conjugate gradient method to obtain approximations of the solution of the above problem. Verify the gradient and Hessian obtained from the application of your codes satisfy the second-order sufficient conditions.

Need codes for these methods

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