You can find the current list of preconditioners on line 40 here:

http://www.mcs.anl.gov/petsc/petsc-current/include/petscpc.h.html

You can click on the names to be taken to man pages.

However, since preconditioners are by nature problem-dependent, it's a better 
idea to try to look up what might be an appropriate preconditioner for your 
system and then see how to use PETSc to apply it. There's a high probability 
that what you need is supported either natively by PETSc or as Jed's note 
demonstrates, through interfaces to external libraries (of which there are a 
large number - run ./configure -help to get an idea of the options available 
and the configure flags to use them)


> Il giorno 16/apr/2015, alle ore 23:54, huaibao zhang 
> <[email protected]> ha scritto:
> 
> Hello there,
> 
> I have been confused of the extent of the available preconditioners in PETSc 
> for a while. Here are the lists I got from one slide of a lecture notes saying
> 
> Block Jacobi,
> Jacobi,
> Overlapping Additive Schwarz,
> ICC, ILU (sequential only)
> ILU(K), LU(direct solver, sequential only)
> sor
> etc.
> 
> 
> But in some other sources, only LU is highlighted with "sequential only". 
> Which one is correct? I am using MATCreateAIJ to construct my A. Which 
> preconditioner is available to me? By the way, I  tested asm, ilu, icc, and 
> they all failed. 
> 
> Thanks,
> Paul
> 

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