This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.

# NMinValue

 NMinValuegives the minimum value of f with respect to x. NMinValuegives the minimum value of f with respect to x, y, .... NMinValuegives the minimum value of f subject to the constraints cons.
• 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.
Find the minimum value of a univariate function:
Find the minimum value of a multivariate function:
Find the minimum value of a function subject to constraints:
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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 Applications   (2)
Find the minimal perimeter among rectangles with a unit area:
Find the minimal perimeter among triangles with a unit area:
NMinimize gives both the value of the minimum and the minimizer point:
NMinValue gives the minimum:
NArgMin gives the minimizer point:
NMinValue can solve linear programming problems:
LinearProgramming can be used to solve the same problem given in matrix notation:
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