IPOPTArgMin

IPOPTArgMin[data] gives the position at which the local minimum was found from an IPOPTData expression data.

Details and Options

First, load the package:

Wolfram Language code: Needs["IPOPTLink`"]

Solve a minimization problem using IPOPTMinimize:

Wolfram Language code:

soln = IPOPTMinimize[Cos[x + y] * Sin[x - y], {x, y}, {0, 1}, {{-1, 1}, {-1, 1}}, {Sin[x], x * y}, {{-1, 0}, {-.25, .0}}]

Extract the position where the minimal value was found:

Wolfram Language code: pos = IPOPTArgMin[soln]

The value of the function at this position is the minimal value:

Wolfram Language code: {IPOPTMinValue[soln], Cos[x + y] * Sin[x - y] /. Thread[{x, y} -> pos]}

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