Another technique to achieve global minimum is to use a multilevel approach.

Then by the extreme value theorem, attains its global minimum.

So f has a global minimum at Y say.

At the end, we are left with the classical system at its global minimum.

A strictly convex function will have at most one global minimum.

To converge to the global minimum, however, is difficult.

A different coefficient of the second term is sometimes given, but this does not affect the position of the global minimum.

This state is referred to as the global minimum.

The global minimum for some simple molecules can be discovered quite easily with certainty.

Perhaps the most important is the global minimum for the energy value.