In this talk, Adam Strzebonski shows some examples of Wolfram Language optimization functions and discusses the algorithms used to implement them. Minimize, Maximize, MinValue, MaxValue, ArgMin and ArgMax compute exact global extrema of univariate or multivariate functions, constrained by systems of equations and inequalities. The variables can range over the reals or over the integers. If symbolic parameters are present, the extrema are given as functions of parameters. In the recent releases of Mathematica, the exact global optimization capabilities have been significantly extended, and more optimization methods are currently under development.

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