Applies several steps of Richardson iteration with the particular preconditioner. This routine is usually used by the Krylov solvers and not the application code directly.


#include "petscksp.h" 
PetscErrorCode PCApplyRichardson(PC pc, Vec b, Vec y, Vec w, PetscReal rtol, PetscReal abstol, PetscReal dtol, PetscInt its, PetscBool guesszero, PetscInt *outits, PCRichardsonConvergedReason *reason)


Input Parameters#

  • pc - the preconditioner context

  • b - the right-hand side

  • w - one work vector

  • rtol - relative decrease in residual norm convergence criteria

  • abstol - absolute residual norm convergence criteria

  • dtol - divergence residual norm increase criteria

  • its - the number of iterations to apply.

  • guesszero - if the input x contains nonzero initial guess

Output Parameters#

  • outits - number of iterations actually used (for SOR this always equals its)

  • reason - the reason the apply terminated

  • y - the solution (also contains initial guess if guesszero is PETSC_FALSE


Most preconditioners do not support this function. Use the command PCApplyRichardsonExists() to determine if one does.

Except for the PCMG this routine ignores the convergence tolerances and always runs for the number of iterations

See Also#

KSP: Linear System Solvers, PC, PCApplyRichardsonExists()






PCApplyRichardson_PFMG() in src/ksp/pc/impls/hypre/hypre.c
PCApplyRichardson_SysPFMG() in src/ksp/pc/impls/hypre/hypre.c
PCApplyRichardson_SMG() in src/ksp/pc/impls/hypre/hypre.c
PCApplyRichardson_MG() in src/ksp/pc/impls/mg/mg.c
PCApplyRichardson_Shell() in src/ksp/pc/impls/shell/shellpc.c
PCApplyRichardson_SOR() in src/ksp/pc/impls/sor/sor.c
PCApplyRichardson_Telescope() in src/ksp/pc/impls/telescope/telescope.c

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