Maximum number of SDP vars in Mosek SDP solver

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Max K

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Apr 8, 2021, 5:02:10 AM4/8/21
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Hi,

with my optimization problem, I seem to run into a hard limit of maximal allowed number of constraints and sdp variables to be solved. Is there a software / hardware limit on size of the problem, which is known?

Thanks a lot! 

Michal Adamaszek

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Apr 8, 2021, 5:11:37 AM4/8/21
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Details may depend a bit on which interface and programming language you are using but generally the theoretical maximum for most kinds of objects is 2^31. However you are likely to run out of RAM before that. How big is your problem?

Michal

Max K

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Apr 8, 2021, 8:37:01 AM4/8/21
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Thanks. My problem has 9.300 sdp variables and a bunch of constraints. If I minimize the problem down to 1.100 sdp variables the solver can find a solution, but with the more specific case it just returns NaN's. I am also quite sure, that the bigger problem has a solution, as I only change the dimension to include more information, which therefore is closer to the original problem, which has a solution.

Michal Adamaszek

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Apr 8, 2021, 8:40:14 AM4/8/21
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Please post the full log output from solving both problems.
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