A global minimum, also known as an absolute minimum, is the smallest overall value of a set, function, etc., over its entire range. It is impossible to construct an algorithm that will find a global minimum for an arbitrary function.

# Global Minimum

## See also

Global Maximum, Kuhn-Tucker Theorem, Local Minimum, Minimum## Explore with Wolfram|Alpha

## Cite this as:

Weisstein, Eric W. "Global Minimum." From
*MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/GlobalMinimum.html