KSPBCGS#

Implements the BiCGStab (Stabilized version of Biconjugate Gradient) method [vdV92]

Notes#

Supports left and right preconditioning but not symmetric

See KSPBCGSL for additional stabilization

See KSPFBCGS, KSPFBCGSR, and KSPPIPEBCGS for flexible and pipelined versions of the algorithm

This method can be a good alternative to KSPGMRES in that it does not require explicitly storing the Krylov space as KSPGMRES requires and there is no acceptable restart value that can be set with KSPGMRESSetRestart() that balances cost per iteration and convergence rates with KSPGMRES.

References#

[vdV92]

H. van der Vorst. Bi-CGSTAB: a fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems. SIAM J. Sci. Stat. Comput., 13:631–644, 1992.

See Also#

KSP: Linear System Solvers, KSPFBCGS, KSPFBCGSR, KSPPIPEBCGS, KSPBCGSL, KSPCreate(), KSPSetType(), KSPType, KSP, KSPBICG, KSPBCGSL, KSPFBICG, KSPQMRCGS, KSPSetPCSide()

Level#

beginner

Location#

src/ksp/ksp/impls/bcgs/bcgs.c

Examples#

src/ksp/ksp/tutorials/ex7.c


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