Optimizing an expression with 7 free parameters

[sukharef]

Hello.
The problem is : I've got an expression to optimize with 7 free parameters. Ranges for each parameter are given. the simpliest way to optimize is to organize a program like for { for {for ...}} for each parameter and to get the result. Are there any other methods for solving the problem ?
Thank you!

 

[DrClaude]

Except for a few simple cases, a systematic search of a 7-dimensional parameter space is impossible in practice.

There are plenty of different methods to try to solve the problem. Assuming you want the global minimum, you can use for instance simulated annealing or evolutionary (genetic) algorithms.

 

[sukharef]

Except for a few simple cases, a systematic search of a 7-dimensional parameter space is impossible in practice.

There are plenty of different methods to try to solve the problem. Assuming you want the global minimum, you can use for instance simulated annealing or evolutionary (genetic) algorithms.

could you give me some examples of those algorithms, please?

 

[DrClaude]

could you give me some examples of those algorithms, please?

Not without hours of work!

You can check Wikipedia or, much better, find a good book on the subject.

 

[Borek]

http://en.wikipedia.org/wiki/Simplex_algorithm

Your description of the problem is rather ambiguous, could be you can solve it mathematically. A lot depends on what the expression is.