Re: [Help] How to find the minima of a function like f(x,y,z,w) = max{|x-y|,|x-z|,|x-w|,|y-z|,|y-w|,|z-w|}

["Stephen J. Herschkorn"]

Jaime Gaspar wrote:

> Can anyone tell how can I find the minima of a function like
>
>    f(x,y,z,w) = max{|x-y|,|x-z|,|x-w|,|y-z|,|y-w|,|z-w|}
>
> over some subset of R^4?

If the subset can be described by linear equalities and inequalites, you 
can formulate this as a linear program.  If the subset is convex, you 
want to look up convex programming.  Note that in any case you can still 
formulate the problem with a linear objective function.

--
Stephen J. Herschkorn                        sjherschko@xxxxxxxxxxxx
Math Tutor in Central New Jersey and Manhattan