Projection on Polyhedral Cone
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(New page: 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 p...) |
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| - | 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 | + | This is an open problem in Convex Optimization. At first glance, it seems rather simple; the problem is certainly easily understood: |
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| + | We simply want a ''formula'' for projecting a given point in Euclidean space on a cone described by the intersection of an arbitrary number of halfspaces. | ||
This problem has many practical and theoretical applications. | This problem has many practical and theoretical applications. | ||
| - | Its solution is certainly worth a Ph.D. thesis. | + | Its solution is certainly worth a Ph.D. thesis in any Math or Engineering Department. |
You are welcome and encouraged to write your thoughts about this problem here. | You are welcome and encouraged to write your thoughts about this problem here. | ||
Revision as of 21:43, 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 the intersection of an arbitrary number of halfspaces.
This problem has many practical and theoretical applications. Its solution is certainly worth a Ph.D. thesis in any Math or Engineering Department.
You are welcome and encouraged to write your thoughts about this problem here.