BUILT-IN MATHEMATICA SYMBOL

# 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.
• 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:

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Find a maximizer point for a multivariate function:

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Find a maximizer point for a function subject to constraints:

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