optimization problem to find variables

In the following code, i am trying to optimze the function f in order to find values of x,y and w. We are provided with values of a,b,reg1 and reg2.

In the code, i want to find values of x,y and w such that

value of f and g becomes equal. Is the following code is correct. I am only keeping some section of the entire code

function f = objective(vars, a, b, reg1, reg2)
x = vars(1:800);
y = vars(801:1600);
w = vars(1601:end);
f = 0;
g=0;
for i = 1:numel(a)
    r1 = reg1(i);
    r2 = reg2(i);
    f = (((sqrt((x(r1)-a(i)) + (y(r1)-b(i))))./(sqrt((x(r2)-a(i)) + (y(r2)-b(i))))) );
    g=w(r1)*w(r2);
    f=g;

Answer 1

[ag]

Hi Akhil,

To find out the values x,y and w such that value of f and g becomes equal, you can break the loop once the desired condition is hit. This can be done by adding a "if" block inside the for loop as shown below:

for i = 1:numel(a)
    r1 = reg1(i);
    r2 = reg2(i);
    f = (((sqrt((x(r1)-a(i)) + (y(r1)-b(i))))./(sqrt((x(r2)-a(i)) + (y(r2)-b(i))))) );
    g=w(r1)*w(r2);
    if f == g   % if block, to check if f and g are equal
        %storing the optimal values of x, y and w corresponding to "r1" and
        %"r2"
        xOptim1 = x(r1);
        xOptim2 = x(r2);
        yOptim1 = y(r1);
        yOptim2 = y(r2);
        wOptim1 = w(r1);
        wOptim2 = w(r2);
        break;  %break out of the loop with the stored values.
    end
end

Hope this helps!