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Convex Optimization Homework Solutions Form

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before we do that is a very quick detour for five minutes on the notion of convex optimization now we have seen linear programming which is a special case of convex optimization where you minimize linear objective function over linear constraints in equations and inequalities so pictorially that means you use linear inequalities to cut out the space of the variables into something called a Polito with sharp corners and then you slide a bar which is a straight line as a linear function representing your objective function across this constraint set so imagine an airplane airplane flying above this constraint set and we want to identify the minimal value of this objective function over this kind of constraint set it turns out what's really important is that you want your objective function to be convex like a convex quadratic function such as X square over the space of constraint set that is also convex like an oval or circle its convexity that determines the watershed between easy and h

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