Vectorizing Loops over Matrix Elements

I was wondering if there is a general method for vectorizing code of the form:

A = zeros(n,m);
for i = 1:n
    for j = 1:m
        A(i,j) = f[i, j]
    end
end

where f[i,j] is some function of i and j.

Answer 1

[Torsten]

If the function f "knows" how to cope with two vectors as inputs that don't have the same size: Yes.

E.g.

n = 3;
m = 5;
f = @(i,j) i.'*j;
A = f(1:n,1:m)

A = 3×5

1 2 3 4 5 2 4 6 8 10 3 6 9 12 15

[Tate Tower]

Thanks for your help! Can you explain what line 3 is doing? I'm not sure what the @(i,j) part of the code does. Is this where I insert my function?

Thanks

[Torsten]

f is a function handle that depends on the formal inputs i and j:

https://uk.mathworks.com/help/matlab/matlab_prog/creating-a-function-handle.html

[Tate Tower]

Got it. Thanks for your help!