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why not solve a linear programming problem with a global opt method, or a local search method as SQP or Newton methods? I am writting a solver facing linear and non linear problems, and I wonder whether it could be accurate to implement single optimization method that can crack all problems. Why not do so?

Thanks for your thoughts on this issue.

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"Crack all problems..." Have you heard of NP-hard problems? –  Dirk Mar 17 '12 at 21:18

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What makes you think they aren't? Simplex algorithms are local search, and interior point methods are global optimisation.

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