BUILT-IN MATHEMATICA SYMBOL

NMinimize

NMinimize[f, x]
minimizes f numerically with respect to x.

NMinimize[f, {x, y, ...}]
minimizes f numerically with respect to x, y, ....

NMinimize[{f, cons}, {x, y, ...}]
minimizes f numerically subject to the constraints cons.

Details and Options Details and Options

NMinimize returns a list of the form .
cons can contain equations, inequalities, or logical combinations of these.
NMinimize always attempts to find a global minimum of f subject to the constraints given.
By default, all variables are assumed to be real.
xIntegers can be used to specify that a variable can take on only integer values.
If f and cons are linear, NMinimize can always find global minima, over both real and integer values.
Otherwise, NMinimize may sometimes find only a local minimum.
If NMinimize determines that the constraints cannot be satisfied, it returns {Infinity, {x->Indeterminate, ...}}.
The following options can be given:

AccuracyGoal	Automatic	number of digits of final accuracy sought
EvaluationMonitor	None	expression to evaluate whenever f is evaluated
MaxIterations	100	maximum number of iterations to use
Method	Automatic	method to use
PrecisionGoal	Automatic	number of digits of final precision sought
StepMonitor	None	expression to evaluate whenever a step is taken
WorkingPrecision	MachinePrecision	the precision used in internal computations

The default settings for AccuracyGoal and PrecisionGoal are WorkingPrecision/2.
The settings for AccuracyGoal and PrecisionGoal specify the number of digits to seek in both the value of the position of the minimum, and the value of the function at the minimum.
NMinimize continues until either of the goals specified by AccuracyGoal or PrecisionGoal is achieved.
Possible settings for the Method option include , , , and .