Ce Qin <[email protected]> writes:

> Thanks for your detailed explanation.
>
> I have consulted the Templates book, I found that QMR requires splitting
> the preconditioner (M = M1 * M2).
> How to do this in PETSc's way?

PCApplySymmetricLeft and PCApplySymmetricRight where PCSide must be 
PC_SYMMETRIC.

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