Projection on Polyhedral Cone
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Revision as of 21:40, 8 June 2008
This is an open problem in Convex Optimization. At first glance, it seems rather simple; the problem is certainly easily understood: We simply want a formula for projecting a given point in Euclidean space on a cone described by an intersection of halfspaces.
This problem has many practical and theoretical applications. Its solution is certainly worth a Ph.D. thesis.
You are welcome and encouraged to write your thoughts about this problem here.