MATLAB: Fmincon or linprog use in minimization

Question

Hi community,

As I am busy trying to optimize the function I encouter quite some difficulties. As I am not certain which optimization function to use( fmincon or linprog)? The letters are vectors and A is a m*n matrix. I am trying to optimize the values of Z & Y. In which antother problem arises as well, since z and y have different dimensions. Z is a 1×1 vector ( a number) and Y is a 2×1 vector. Does someone has a tip on which function to use and how to deal with the dimensional problems of the decision variables? Thankyou

min (l-q).'*z-s.'*y
s.t. y=x-A.'*z
0<z<d , y>0

Answer 1

l = 0.25;
q = 2; 
s = 1; 
A = 1;
x = 20;
d = 15;
f= [-s, l-q];
Aeq = [1, A];
beq = x;
lb = [0, 0];
ub = [Inf, d];
sol = linprog(f,[],[],Aeq,beq,lb,ub);
y = sol(1)
z = sol(2)