NMinValue

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

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

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

Details and OptionsDetails and Options

  • NMinValue[...] is effectively equivalent to First[NMinimize[...]].
  • cons can contain equations, inequalities or logical combinations of these.
  • NMinValue 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, NMinValue can always find global minima, over both real and integer values.
  • Otherwise, NMinValue may sometimes find only a local minimum.
  • If NMinValue determines that the constraints cannot be satisfied, it returns Infinity.
  • NMinValue takes the same options as NMinimize.

ExamplesExamplesopen allclose all

Basic Examples (3)Basic Examples (3)

Find the minimum value of a univariate function:

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Find the minimum value of a multivariate function:

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Find the minimum value of a function subject to constraints:

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