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/petsc/doc/overview/
H A Dlinear_solve_table.md478 * - GMRES
483 * - Flexible GMRES
493 * - Deflated GMRES
678 * - Pipelined flexible GMRES
688 * - Pipelined GMRES
H A Dnonlinear_solve_table.md32 * - Nonlinear GMRES
/petsc/src/benchmarks/results/
H A Dlap2d.m2 % Performance results for PETSc on the 2d Laplacian 5 pt stencil using GMRES(30) and no
H A Dperformance_medium.m8 title('Iterative Solve: GMRES(30) with ILU(0)');
H A Dperformance_cfd_2_10.m8 title('Iterative Solve: GMRES(30) with ILU(0). Matrix: cfd.2.10, N=122880, NZ=4134400');
H A Dperformance_arco1.m8 title('Iterative Solve: GMRES(30) with ILU(0). Matrix: arco1, N=1501, NZ=26131');
/petsc/doc/changes/
H A D2015.md93 - Changed the default linear solvers from GMRES(30) with Jacobi
94 preconditioning to uniprocessor: GMRES(30) with ILU(0)
95 preconditioning multiprocessor: GMRES(30) with block Jacobi
H A D33.md102 - Added pipelined GMRES (KSPPGMRES) which performs one non-blocking
118 - Added quasi-Newton (SNESQN), Nonlinear GMRES (SNESNGMRES),
H A D211.md38 of GMRES. Also default multigrid type is now full instead of
H A D36.md129 -ksp_chebyshev_esteig_random. The previous for the (GMRES) KSP
H A D2024.md102 - Changed GMRES to use the Gram-Schmidt method with one optional
/petsc/src/binding/petsc4py/docs/source/
H A Doverview.rst75 iterative methods, including GMRES, CG, CGS, Bi-CG-Stab, two
/petsc/src/ksp/pc/impls/amgx/
H A Damgx.cxx23 GMRES, enumerator
75 {"GMRES", AmgXSmoother::GMRES },
/petsc/src/binding/petsc4py/src/petsc4py/PETSc/
H A DKSP.pyx54 `GMRES`
70 deflated GMRES when the stagnation occurs. `petsc.KSPDGMRES`
189 GMRES = S_(KSPGMRES) variable in KSPType
234 certain algorithms such as `Type.GMRES` ALWAYS require the norm
354 GMRES = KSP_HPDDM_TYPE_GMRES variable in KSPHPDDMType
390 create, setType, SNES, TS, PC, Type.CG, Type.GMRES,
496 `Type.GMRES`).
1768 We recommend always using `Type.GMRES` for such singular
2144 # --- GMRES ---
/petsc/src/binding/petsc4py/test/
H A Dtest_ksp.py275 KSP_TYPE = PETSc.KSP.Type.GMRES
/petsc/doc/manual/
H A Dprofiling.md80 linear system on one process using restarted GMRES and ILU
105 - `KSPGMRESOrthog` - Orthogonalization in GMRES
125 operations are performed when using GMRES and ILU, as described above),
145 four processors of an Intel x86_64 Linux cluster, using restarted GMRES
H A Dperformance.md653 - uniprocess: GMRES(30) with ILU(0) preconditioning
654 - multiprocess: GMRES(30) with block Jacobi preconditioning, where
668 In particular, note that the default restart parameter for GMRES is 30,
672 information on setting alternative GMRES orthogonalization routines,
H A Dksp.md115 The default solver within `KSP` is restarted GMRES, `KSPGMRES`, preconditioned for
186 GMRES methods:
196 GMRES restart and Richardson damping factor can also be set with the
201 GMRES is the unmodified (classical) Gram-Schmidt method, which can be
560 conjugate gradient method or GMRES, since it prints estimates of the
597 during the linear system solution, for GMRES it is never larger than the
672 GMRES), the construction of the solution is expensive, while for many
681 Again, for GMRES and certain other methods this is an expensive
1179 highest eigenvalue faster than GMRES (the default for KSP) if your problem
1769 uses two preconditioners: ILU(0) and 10 iterations of GMRES with Jacobi
H A Dsnes.md299 * - Nonlinear GMRES
628 Richardson (`SNESNRICHARDSON`), nonlinear conjugate gradient (`SNESNCG`), nonlinear GMRES (`SNESNGM…
653 **Anderson Mixing and Nonlinear GMRES Methods.** Nonlinear GMRES (`SNESNGMRES`), and
1109 efficiency of the application code. This takes place automatically for the PETSc GMRES solver with …
H A Dstreams.md242 …PETSc algebraic multigrid preconditioner, `PCGAMG` and Krylov accelerator GMRES. Strong scaling is…
H A Dgetting_started.md700 the solution of a linear system on one processor using GMRES and ILU.
/petsc/src/ksp/ksp/tutorials/output/
H A Dex2_help.out259 KSP GMRES Options
262 …olerance: <now 0.1 : formerly 0.1>: Divergence breakdown tolerance during GMRES restart (KSPGMRESS…
/petsc/doc/faq/
H A Dindex.md583 ### I want to use Hypre boomerAMG without GMRES but when I run `-pc_type hypre -pc_hypre_type boome…
1580 improves the convergence rate. If GMRES is losing too much progress in the restart, see
1982 ### With GMRES at restart the second residual norm printed does not match the first
1995 This is actually not surprising! GMRES computes the norm of the residual at each iteration
2001 product via differencing, the residual norms computed by GMRES start to "drift" from the
2004 affect the accuracy of the solution that GMRES computes).
/petsc/doc/tutorials/physics/
H A Dguide_to_stokes.md597 The solver for the first block, representing the velocity, is GMRES/LU. Note that the prefix is `fi…
638 The solver for the second block, with prefix `fieldsplit_pressure_`, is also GMRES/LU, however we c…
/petsc/doc/
H A Dpetsc.bib565 …title = {A modified block flexible {GMRES} method with deflation at each iteration for th…
586 title = {Restarted {GMRES} preconditioned by deflation},
597 title = {A {N}ewton basis {GMRES} implementation},
659 …title = {Parallelism and robustness in {GMRES} with the {N}ewton basis and the deflated r…
1094 keywords = {BiCGStab method, CUDA, GMRES method, GPU, Iterative solvers, OpenCL, conjugate
9579 title = {A Technique for Accelerating the Convergence of Restarted GMRES},
9664 title = {On improving the performance of the linear solver restarted {GMRES}},
9813 title = {An Efficient Block Variant of GMRES},
13619 title = {How descriptive are {GMRES} convergence bounds},
17600 title = {{A flexible inner-outer preconditioned GMRES algorithm}},
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