Recent content by sdevoe

Homework Statement Please see attached thumbnail Here's what I know. 1)Bk is the Hessian 2) sk = \alpha*p 3)pk is the search direction 4) Alpha is the step size Homework Equations yk = \nablaf(xk+1) -\nablaf(xk Bk+1(xk+1-xk) = \nablaf(xk+1) -\nablaf(xk The Attempt at a Solution...

I am obviously lost. What direction should I be looking in?

Must g,h and q be differentiable around those points where p(x)=h(x)=q(x)=0?

The only thing that I can come up with is maybe the P must be positive definite.

Homework Statement Consider the following optimization problem: min f(x) s.t. g(x) ≥ 0 h(x) ≤ 0 q(x) = 0  Let xbar satisfy g(x) = h(x) = q(x) = 0. a)State and prove a set of necessary and sufficient conditions for x to be a local minimum. b)How would the conditions...

I will get that all the values are equal to zero if I solve that?

Ok I have that now what about the positive definite aspect?

Confirming that I have to solve it as a system of equations?

With what equation would I begin that proof?

So does that mean where 3x+y=0, x+4y-z=0, and -y+2z=0?

Homework Statement Let M be a symmetric matrix. The eigenvalues of M are real and further M can be diagonalized using an orthogonal matrix S; that is M can be written as M = S^-1*D*S where D is a diagonal matrix. (a) Prove that the diagonal elements of D are the eigenvalues of M...

Homework Statement Find the critical point(s) of this function and determine if the function has a maxi- mum/minimum/neither at the critical point(s) (semi colons start a new row in the matrix) f(x,y,z) = 1/2 [ x y z ] [3 1 0; 1 4 -1; 0 -1 2] [x;y;z] Homework Equations The...

Homework Statement A heat-seeking missile is located at (2,-3) on a plane. The temperature function is given by T(x; y) = 20-4x^2-y^2. Find the equation of the curve along which the missile travels, if it continuously moves in the direction of maximum temperature increase. Express your...

F=I*LxB?

the equation is F=qvB but then using the left hand rule since it is a proton would give me negative y direction if I'm not mistaken and that is incorrect?