KSPGROPPCG — PETSc 3.21.4 documentation

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# KSPGROPPCG

A pipelined conjugate gradient method developed by Bill Gropp [EG16]. Pipelined Krylov Methods

## Notes

This method has two reductions, one of which is overlapped with the matrix-vector product and one of which is overlapped with the preconditioner.

See also `KSPPIPECG`, which has only a single reduction that overlaps both the matrix-vector product and the preconditioner.

MPI configuration may be necessary for reductions to make asynchronous progress, which is important for performance of pipelined methods. See What steps are necessary to make the pipelined solvers execute efficiently?

## Contributed by

Pieter Ghysels, Universiteit Antwerpen, Intel Exascience lab Flanders

## References

[EG16]

Paul R Eller and William Gropp. Scalable non-blocking preconditioned conjugate gradient methods. In SC'16: Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis, 204–215. IEEE, 2016.

## See Also

KSP: Linear System Solvers, Pipelined Krylov Methods, What steps are necessary to make the pipelined solvers execute efficiently?, `KSPCreate()`, `KSPPIPECG2()`, `KSPSetType()`, `KSPPIPECG`, `KSPPIPECR`, `KSPPGMRES`, `KSPCG`, `KSPCGUseSingleReduction()`

## Level

intermediate

## Location

src/ksp/ksp/impls/cg/groppcg/groppcg.c

Index of all KSP routines
Table of Contents for all manual pages
Index of all manual pages