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I am interested in exact scaling of the ellipsoid method and interior point methods for solving SDPs.

(I am not interested in algorithms like multiplicative weights updates method.)

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    $\begingroup$ See some related questions: cstheory.stackexchange.com/q/14770/1542 and cstheory.stackexchange.com/q/14548/1542 $\endgroup$ – Alessandro Cosentino Nov 18 '13 at 18:05
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    $\begingroup$ actually the ellipsoid method and combinatorial primal-dual algorithms are the only ways I know how to solve some exponential size mathematical programs. $\endgroup$ – Sasho Nikolov Nov 18 '13 at 18:36
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    $\begingroup$ combinatorial primal-dual is a large class :). do you count mult-weight-update in that class as well ? $\endgroup$ – Suresh Venkat Nov 18 '13 at 18:52
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    $\begingroup$ @Suresh, true :). I had multiplicative weights (or Plotkin-Shmoys-Tardos) and Edmonds' blossom algorithm in mind as examples. $\endgroup$ – Sasho Nikolov Nov 18 '13 at 22:29

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