[petsc-dev] PetscCitations: software or underlying math

Jed Brown jedbrown at mcs.anl.gov
Thu Oct 24 11:31:25 CDT 2013


Matthew Knepley <knepley at gmail.com> writes:
> I think we can differentiate between mathematical background and analysis,
> e.g.
>
>   Proving that GMRES converges with these matrices, etc.
>
> and showing exactly how to structure an algorithm:
>
>   Saad and Schultz, 96

*86*, but what about GCR?  After all, GMRES is an incremental
 modification of GCR.  It also contains mispredictions like:

  "In practical implementation it is usually more suitable to replace
  the Gram-Schmidt algorithm of step 2 by the modified Gram-Schmidt
  algorithm"

If someone uses LGMRES, would we produce a citation only to Baker et al,
or also to Saad & Schultz?  What about the BiCG family, containing many
more variants that are slight variations on existing methods?  Or
identical methods that were published twice under different names?

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