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Mathematica > Mathematics and Algorithms > Optimization >

Built-in Mathematica Symbol

NMaxValue

NMaxValue[f, x]
gives the maximum value of f with respect to x.

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

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

NMaxValue always attempts to find a global maximum 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, NMaxValue can always find global maxima, over both real and integer values.

If NMaxValue determines that the constraints cannot be satisfied, it returns -Infinity.

Find the maximum value of a univariate function:

Find the maximum value of a multivariate function:

Find the maximum value of a function subject to constraints:

Find the maximum value of a univariate function:

Find the maximum value of a multivariate function:

Find the maximum value of a function subject to constraints:

Find the maximal area among rectangles with a unit perimeter:

NMaximize gives both the value of the maximum and the maximizer point:

NMaxValue gives the maximum:

NArgMax gives the maximizer point:

NMaxValue can solve linear programming problems:

LinearProgramming can be used to solve the same problem given in matrix notation: