Normal Form Methods and Optimization for Nonlinear Properties of

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this is an introduction to interior point methods we're going to set up the theory and methods to be able to solve this and I'll show you a couple example applications on how to solve nonlinear programming problems with the interior point method so over as an overview we have nonlinear constrained problems that we want to try to minimize or maximize we're going to give just a little bit of an introduction on slack variables okay and how we reformulate problems so they fit a standard a standard form and then talk also about this barrier function okay this minus mu times natural log of X and how we convert X greater than or equal to zero into this form for the interior point method we'll talk about the newton-raphson method for solving these KKT conditions with this barrier problem and give a summary of the major steps in the interior point algorithm we'll go over a couple tutorial examples as well okay so first of all we have this nonlinear constrained optimization problem we're trying