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Mathematica > Mathematics and Algorithms > Optimization >

Built-in Mathematica Symbol

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.

NMinValue always attempts to find a global minimum of f subject to the constraints given.

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.

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:

Find the minimum value of a multivariate function:

Find the minimum value of a function subject to constraints:

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: