NArgMin

NArgMin[f, x]
gives a position at which f is numerically minimized.

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

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

Details and OptionsDetails and Options

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

ExamplesExamplesopen allclose all

Basic Examples (3)Basic Examples (3)

Find a minimizer point for a univariate function:

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Find a minimizer point for a multivariate function:

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Find a minimizer point for a function subject to constraints:

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