PCEisenstatGetOmega — PETSc 3.21.4 documentation

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# PCEisenstatGetOmega

Gets the SSOR relaxation coefficient, omega, to use with Eisenstat’s trick (where omega = 1.0 by default).

## Synopsis

    #include "petscpc.h"
    PetscErrorCode PCEisenstatGetOmega(PC pc, PetscReal *omega)

Logically Collective

## Input Parameter

- pc - the preconditioner context

## Output Parameter

- omega - relaxation coefficient (0 < omega < 2)

## Options Database Key

- -pc_eisenstat_omega - Sets omega

## Notes

The Eisenstat trick implementation of SSOR requires about 50% of the usual amount of floating point operations used for SSOR + Krylov method; however, the preconditioned problem must be solved with both left and right preconditioning.

To use SSOR without the Eisenstat trick, employ the PCSOR preconditioner, which can be chosen with the database options `-pc_type sor -pc_sor_symmetric`

## See Also

KSP: Linear System Solvers, `PCEISENSTAT`, `PCSORGetOmega()`, `PCEisenstatSetOmega()`

## Level

intermediate

## Location

src/ksp/pc/impls/eisens/eisen.c

## Implementations

PCEisenstatGetOmega_Eisenstat() in src/ksp/pc/impls/eisens/eisen.c

Index of all PC routines
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Index of all manual pages