Optimization with genetic algorithm

I have this objective function :

      E = @(x,y) norm((d(x)-r(x).*y).^2);

I want to optimize vector 'y' using ga ,

if 'd' and 'r' is complex function and 'y' is complex coefficient

I tried with many methods in matlab for find objectiv function appropriate with genetic algorithm,

can i use the method in this link https://www.mathworks.com/help/optim/ug/fit-model-to-complex-data.html

such as the objective function 'E'.

[Walter Roberson]

Is x constant for this purpose? Is x a complex scalar or a complex vector? Is y a complex scalar or a complex vector? Are you trying to find an (x,y) pair that leads to minimal E?

[Johan Johan]

x : is interval [-1 1] (integral E), and y is vector have complex valued ,i want to find just 'y' for leads to minimal E. Is this information correct or contradictory because I am still searching.

[Walter Roberson]

At any one invocation, is x a scalar or a vector? Is a particular value for x input, or does the x have to be found? Could you confirm that d(x) and r(x) return complex vectors that are the same length as the y being searched for? And could you confirm that you are searching for a vector y, not a scalar y?

[Johan Johan]

x is scalar and it is given,the problem in y because is complex vector ,and then the result of E is complex but the objective function must be return a scalar for using function handle and this helps in the use of genetic algorithm,am I correct? correct me if I'm wrong.

[Walter Roberson]

The objective function does need to return a real-valued scalar.

I am trying to understand what the various lengths involved are.

If x is a given scalar (at the time of any given optimization) then that implies that d(x) and r(x) can be computed ahead of time. Let

D = d(x);
R = r(x);

then

E = @(y) norm((D-R.*y).^2);

and we know that D and R and y are complex.

But I am not clear as to whether D and R are (complex) scalars, or if they are vectors, and if y will be a vector or a scalar ?

At the moment I am suspecting that the problem can be solved in other ways.

[Johan Johan]

If

   d=exp(-j*x*n);
   r=exp(-j*x*(0:n));

I continue to search and i want to round you the correct information as far as I understand, if you encounter things not logical ,tell me , and thank you for your feedback.