Increasing a precision

I have an optimization problem, implemented in MATLAB and involves the rel_entr function.
I tried to use various solvers and the cvx_precision function and the best achieved accuracy is ~10^-12.
Unfortunately, I need better accuracy in the solution. Is there a way to increase the accuracy further beyond choosing a solver and a cvx_precision?

Thanks a lot,

I’m afraid not. 10^-12 is outstanding accuracy. You cannot reasonably expect more with the solvers CVX uses. There are likely higher precision solvers out there but CVX doesn’t support them.

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Thanks Michael.
Could you please refer me to specific solvers that might help me to proceed with my problem.