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,
Oron

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.

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