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, MinimumExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Global Minimum." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/GlobalMinimum.html