Finding the maximum and minimum of a function

Hello, How can I find the minimum and maximum of a function similar to this one T=(((x(1)*x(2))/(x(3)*8))*(x(6)^x(7)))+x(4)+x(5). Thank you.

4 Kommentare

Jan
Jan am 18 Mai 2018
It depends on what x(1) .. x(5) is. If x is a vector, then T is a scalar, such that searching the minimum and maximum is trivial. So please explain, what your inputs are.
Each x is a different variable. i.e. x is not a vector.
Torsten
Torsten am 18 Mai 2018
Without further restrictions on x(1),...,x(6), the maximum of your function is +Inf and the minimum is -Inf.
Best wishes
Torsten.
Guillaume
Guillaume am 18 Mai 2018
Bearbeitet: Guillaume am 18 Mai 2018
So T is a function of 5 independent variables?
Your particular function is not bounded. If you set x(2:5) to 1, then the limit of your function is ∞ when x(1) goes to ∞ and -∞ when x(1) goes to -∞.
If you are asking how to find the global minimum and maximum of an arbitrary function, then this is not something that matlab can do. In fact, it's not something that anybody knows how to do generically.

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