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Apr 24, 2012 at 0:22 comment added Brian Borchers Your problem might well have infinitely many solutions. It might also have no solutions! You should consider whether or not you would like to find a least squares solution rather than an exact solution, and whether you want to pick out some particular solution if there are many solutions. Both of these could be dealt with in the polynomial optimization approach that I've suggested.
Apr 24, 2012 at 0:18 history answered Brian Borchers CC BY-SA 3.0