BUILT-IN MATHEMATICA SYMBOL

ArgMax

ArgMax[f, x]
gives a position at which f is maximized.

ArgMax[f, {x, y, ...}]
gives a position at which f is maximized.

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

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

Details and Options Details and Options

ArgMax[..., vars, ...] is effectively equivalent to vars/.Last[Maximize[..., vars, ...].
cons can contain equations, inequalities, or logical combinations of these.
If f and cons are linear or polynomial, ArgMax will always find a global maximum.
ArgMax will return exact results if given exact input.
If ArgMax is given an expression containing approximate numbers, it automatically calls NArgMax.
If the maximum is achieved only infinitesimally outside the region defined by the constraints, or only asymptotically, ArgMax 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, ArgMax returns .