Dear all,

I am writing a few variations on the PCG algorithm. Starting with my own PCG 
implementation, I noticed that my routine is quite a bit slower (~20%). I think 
I tracked it down to the MatSolve calls in PCApply. I am using BDDC as the 
preconditioner.

In the Petsc PCG function, each PCApply calls the MatSolve 3 times. It also 
calls MatSolve once somewhere between calling KSPSolve and KSPSolve_CG 
(KSP_SetUp has been called before). So MatSolve is called 1+3*(# iterations) 
per KSPSolve. In my own PCG variation, the initial MatSolve is not called. But 
MatSolve is called 4 times in each iteration, so in total 4*(# iterations).

Where does this MatSolve in between KSPSolve and KSPSolve_CG come from? And how 
can I make my function use less MatSolve's?


I hope that I explained the problem clearly, and maybe this is a very trivial 
question.


kind regards,
Vincent

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