I have two questions related to optimization algorithm. Why does a matrix of zeros is initialized? and what is the meaning/purpose of dimension in these functions?

For example in this code snippet what does this Dimension means, why do we use it.

function [LB,UB,Dim,F_obj] = Get_F(F)
switch F
    case 'F1'
        F_obj = @F1;
        LB=-100;
        UB=100;
        Dim=10;
        

And why these zeros are generated? what is the purpose? Can we initialize ones matrix instead of zeros.

Code snippet.

        Dim=10;
        Best_P=zeros(1,Din)

Answer 1

[Walter Roberson]

Dim is the number of free variables being optimized over.

Dim=10;
Best_P=zeros(1,Dim)

That is pre-allocation. In context it is not necessarily inititialization of a starting point. However possibly if the optimization is not able to run, this is the value that will get returned.

[Faiza Gul]

Thankyou so much Robert.

[Walter Roberson]

No problem, Guilbert.