BUILT-IN MATHEMATICA SYMBOL

ArgMin

ArgMin[f, x]
gives a position at which f is minimized.

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

ArgMin[{f, cons}, {x, y, ...}]
gives a position at which f is minimized subject to the constraints cons.

ArgMin[{f, cons}, {x, y, ...}, dom]
gives a position at which f is minimized over the domain dom, typically Reals or Integers.

Details and Options Details and Options

ArgMin returns a list of the form .
ArgMin[..., {x, y, ...}, ...] is effectively equivalent to {x, y, ...}/.Last[Minimize[..., {x, y, ...}, ...].
cons can contain equations, inequalities or logical combinations of these.
If f and cons are linear or polynomial, ArgMin will always find a global minimum.
ArgMin will return exact results if given exact input.
If ArgMin is given an expression containing approximate numbers, it automatically calls NArgMin.
If the minimum is achieved only infinitesimally outside the region defined by the constraints, or only asymptotically, ArgMin will return the closest specifiable point.
If no domain is specified, all variables are assumed to be real.
xIntegers can be used to specify that a particular variable can take on only integer values.
If the constraints cannot be satisfied, ArgMin returns {Indeterminate, Indeterminate, ...}.