NArgMax

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

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

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

Details and OptionsDetails and Options

  • NArgMax returns a list of the form .
  • NArgMax[..., {x, y, ...}] is effectively equivalent to {x, y, ...}/.Last[NMaximize[..., {x, y, ...}, ...].
  • cons can contain equations, inequalities, or logical combinations of these.
  • NArgMax always attempts to find a global maximum 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, NArgMax can always find global maxima, over both real and integer values.
  • Otherwise, NArgMax may sometimes find only a local maximum.
  • If NArgMax determines that the constraints cannot be satisfied, it returns {Indeterminate, ...}.
  • NArgMax takes the same options as NMaximize.

ExamplesExamplesopen allclose all

Basic Examples (3)Basic Examples (3)

Find a maximizer point for a univariate function:

In[1]:=
Click for copyable input
Out[1]=

Find a maximizer point for a multivariate function:

In[1]:=
Click for copyable input
Out[1]=

Find a maximizer point for a function subject to constraints:

In[1]:=
Click for copyable input
Out[1]=
New in 7
New to Mathematica? Find your learning path »
Have a question? Ask support »