Maximum of a function with elements from a vector

Hello guys,

I want to find the maximum of the following function:

f(µ) = (1/n)*log(-µ)

where n=24 and is a vector with 24 elements.

Can someone help me?

Many thanks in advance !!!

[Ameer Hamza]

Is the objective function correct? In the current form, it seems that the maximum value is infinity.

[Ben M]

It´s just an example. The real function for my problem is more difficult. Basically i want to know how i can calculate a maximum of a function f(µ), which contains a "sum", a variabel (here µ) and a vector elemement (here ). I think the first Step is to define the above mentioned function. Thanks!

Answer 1

[Ameer Hamza]

You can define this objective function like this

u = 0; % for example
n = 24;
f = @(x) -1/n*sum(log(x-u));
x0 = rand(n,1);
fmincon(f, x0)

I used minus (-) with the objective function because MATLAB optimization functions are defined for minimization problem. This convert your problem from maximization to minimization.