NArgMin

NArgMin[f, x] gives a position xmin at which f is numerically globally minimized.

NArgMin[f, {x, y, ...}] gives a position {xmin, ymin, ...} at which f is minimized.

NArgMin[{f, cons}, {x, y, ...}] gives a position minimizing f subject to constraints cons.

Examples

Find minimum location:

NArgMin[x^2 - 4 x + 5, x]
(* 2. *)

With constraints:

NArgMin[{x + y, x >= 0, y >= 0, x + y >= 1}, {x, y}]
(* {0., 1.} *)

Please visit the official Wolfram Language Reference for more details.