BUILT-IN MATHEMATICA SYMBOL

MinValue

MinValue[f, x]
gives the minimum value of f with respect to x.

MinValue[f, {x, y, ...}]
gives the minimum value of f with respect to x, y, ....

MinValue[{f, cons}, {x, y, ...}]
gives the minimum value of f subject to the constraints cons.

MinValue[{f, cons}, {x, y, ...}, dom]
gives the minimum value of f over the domain dom, typically Reals or Integers.

Details and Options Details and Options

MinValue[...] is effectively equivalent to First[Minimize[...]].
MinValue gives the infimum of values of f. It may not be attained for any values of x, y, ....
cons can contain equations, inequalities or logical combinations of these.
If f and cons are linear or polynomial, MinValue will always find a global minimum.
MinValue will return exact results if given exact input.
If MinValue is given an expression containing approximate numbers, it automatically calls NMinValue.
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, MinValue returns Infinity.