[petsc-users] Problem solving Ax=b with rectangular matrix A

fujisan fujisan43 at gmail.com
Mon Sep 26 03:56:20 CDT 2022


OK thank you.

On Mon, Sep 26, 2022 at 10:53 AM Jose E. Roman <jroman at dsic.upv.es> wrote:

> The QR factorization from SuiteSparse is sequential only, cannot be used
> in parallel.
> In parallel you can try PCBJACOBI with a PCQR local preconditioner.
> Pierre may have additional suggestions.
>
> Jose
>
>
> > El 26 sept 2022, a las 10:47, fujisan <fujisan43 at gmail.com> escribió:
> >
> > I did configure Petsc with the option --download-suitesparse.
> >
> > The error is more like this:
> > PETSC ERROR: Could not locate a solver type for factorization type QR
> and matrix type mpiaij.
> >
> > Fuji
> >
> > On Mon, Sep 26, 2022 at 10:25 AM Jose E. Roman <jroman at dsic.upv.es>
> wrote:
> > If the error message is "Could not locate a solver type for
> factorization type QR" then you should configure PETSc with
> --download-suitesparse
> >
> > Jose
> >
> >
> > > El 26 sept 2022, a las 9:06, fujisan <fujisan43 at gmail.com> escribió:
> > >
> > > Thank you Pierre,
> > >
> > > I used PCNONE along with KSPLSQR and it worked.
> > > But as for PCQR, it cannot be found. There is nothing about it in the
> documentation as well.
> > >
> > > Fuji
> > >
> > > On Wed, Sep 21, 2022 at 12:20 PM Pierre Jolivet <pierre at joliv.et>
> wrote:
> > > Yes, but you need to use a KSP that handles rectangular Mat, such as
> KSPLSQR (-ksp_type lsqr).
> > > PCLU does not handle rectangular Pmat. The only PC that handle
> rectangular Pmat are PCQR, PCNONE.
> > > If you supply the normal equations as the Pmat for LSQR, then you can
> use “standard” PC.
> > > You can have a look at
> https://petsc.org/main/src/ksp/ksp/tutorials/ex27.c.html that covers most
> of these cases.
> > >
> > > Thanks,
> > > Pierre
> > >
> > > (sorry for the earlier answer sent wrongfully to petsc-maint, please
> discard the previous email)
> > >
> > >> On 21 Sep 2022, at 10:03 AM, fujisan <fujisan43 at gmail.com> wrote:
> > >>
> > >> I'm trying to solve Ax=b with a sparse rectangular matrix A (of size
> 33x17 in my test) using
> > >> options '-ksp_type stcg -pc_type lu' on 1 or 2 cpus.
> > >>
> > >> And I always get an error saying "Incompatible vector local lengths"
> (see below).
> > >>
> > >> Here is the relevant lines of my code:
> > >>
> > >> program test
> > >>     ...
> > >>     ! Variable declarations
> > >>
> > >>     PetscCallA(PetscInitialize(PETSC_NULL_CHARACTER,ierr))
> > >>
> > >>     PetscCall(MatCreate(PETSC_COMM_WORLD,A,ierr))
> > >>     PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,m,n,ierr))
> > >>     PetscCall(MatSetType(A,MATMPIAIJ,ierr))
> > >>     PetscCall(MatSetFromOptions(A,ierr))
> > >>     PetscCall(MatSetUp(A,ierr))
> > >>     PetscCall(MatGetOwnershipRange(A,istart,iend,ierr))
> > >>
> > >>     do irow=istart,iend-1
> > >>         ... Reading from file ...
> > >>         PetscCall(MatSetValues(A,1,irow,nzv,col,val,ADD_VALUES,ierr))
> > >>         ...
> > >>     enddo
> > >>
> > >>     PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY,ierr))
> > >>     PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY,ierr))
> > >>
> > >>     ! Creating vectors x and b
> > >>     PetscCallA(MatCreateVecs(A,x,b,ierr))
> > >>
> > >>     ! Duplicating x in u.
> > >>     PetscCallA(VecDuplicate(x,u,ierr))
> > >>
> > >>     ! u is used to calculate b
> > >>     PetscCallA(VecSet(u,1.0,ierr))
> > >>
> > >>     PetscCallA(VecAssemblyBegin(u,ierr))
> > >>     PetscCallA(VecAssemblyEnd(u,ierr))
> > >>
> > >>     ! Calculating Au = b
> > >>     PetscCallA(MatMult(A,u,b,ierr)) ! A.u = b
> > >>
> > >>     PetscCallA(KSPSetType(ksp,KSPCG,ierr))
> > >>
> > >>     PetscCallA(KSPSetOperators(ksp,A,A,ierr))
> > >>
> > >>     PetscCallA(KSPSetFromOptions(ksp,ierr))
> > >>
> > >>     ! Solving Ax = b, x unknown
> > >>     PetscCallA(KSPSolve(ksp,b,x,ierr))
> > >>
> > >>     PetscCallA(VecDestroy(x,ierr))
> > >>     PetscCallA(VecDestroy(u,ierr))
> > >>     PetscCallA(VecDestroy(b,ierr))
> > >>     PetscCallA(MatDestroy(A,ierr))
> > >>     PetscCallA(KSPDestroy(ksp,ierr))
> > >>
> > >>     call PetscFinalize(ierr)
> > >> end program
> > >>
> > >> The code reads a sparse matrix from a binary file.
> > >> I also output the sizes of matrix A and vectors b, x, u.
> > >> They all seem consistent.
> > >>
> > >> What am I doing wrong?
> > >> Is it possible to solve Ax=b with A rectangular?
> > >>
> > >> Thank you in advance for your help.
> > >> Have a nice day.
> > >>
> > >> Fuji
> > >>
> > >>  Matrix size : m=          33  n=          17  cpu size:            1
> > >>  Size of matrix A  :           33          17
> > >>  Size of vector b :           33
> > >>  Size of vector x :           17
> > >>  Size of vector u :           17
> > >> [0]PETSC ERROR: --------------------- Error Message
> --------------------------------------------------------------
> > >> [0]PETSC ERROR: Arguments are incompatible
> > >> [0]PETSC ERROR: Incompatible vector local lengths parameter # 1 local
> size 33 != parameter # 2 local size 17
> > >> [0]PETSC ERROR: See https://petsc.org/release/faq/ for trouble
> shooting.
> > >> [0]PETSC ERROR: Petsc Development GIT revision:
> v3.17.4-1341-g91b2b62a00  GIT Date: 2022-09-15 19:26:07 +0000
> > >> [0]PETSC ERROR: ./bin/solve on a x86_64 named master by fujisan Tue
> Sep 20 16:56:37 2022
> > >> [0]PETSC ERROR: Configure options --with-petsc-arch=x86_64
> --COPTFLAGS="-g -O3" --FOPTFLAGS="-g -O3" --CXXOPTFLAGS="-g -O3"
> --with-debugging=0 --with-cc=mpiicc --with-cxx=mpiicpc --with-fc=mpiifort
> --with-single-library=1 --with-mpiexec=mpiexec --with-precision=double
> --with-fortran-interfaces=1 --with-make=1 --with-mpi=1
> --with-mpi-compilers=1 --download-fblaslapack=0 --download-hypre=1
> --download-cmake=0 --with-cmake=1 --download-metis=1 --download-parmetis=1
> --download-ptscotch=0 --download-suitesparse=1 --download-triangle=1
> --download-superlu=1 --download-superlu_dist=1 --download-scalapack=1
> --download-mumps=1 --download-elemental=1 --download-spai=0
> --download-parms=1 --download-moab=1 --download-chaco=0 --download-fftw=1
> --with-petsc4py=1 --download-mpi4py=1 --download-saws
> --download-concurrencykit=1 --download-revolve=1 --download-cams=1
> --download-p4est=0 --with-zlib=1 --download-mfem=1 --download-glvis=0
> --with-opengl=0 --download-libpng=1 --download-libjpeg=1 --download-slepc=1
> --download-hpddm=1 --download-bamg=1 --download-mmg=0 --download-parmmg=0
> --download-htool=1 --download-egads=0 --download-opencascade=0
> PETSC_ARCH=x86_64
> > >> [0]PETSC ERROR: #1 VecCopy() at
> /data/softs/petsc/src/vec/vec/interface/vector.c:1607
> > >> [0]PETSC ERROR: #2 KSPSolve_BiCG() at
> /data/softs/petsc/src/ksp/ksp/impls/bicg/bicg.c:40
> > >> [0]PETSC ERROR: #3 KSPSolve_Private() at
> /data/softs/petsc/src/ksp/ksp/interface/itfunc.c:877
> > >> [0]PETSC ERROR: #4 KSPSolve() at
> /data/softs/petsc/src/ksp/ksp/interface/itfunc.c:1048
> > >> [0]PETSC ERROR: #5 solve.F90:218
> > >> Abort(75) on node 0 (rank 0 in comm 16): application called
> MPI_Abort(MPI_COMM_SELF, 75) - process 0
> > >>
> > >
> >
>
>
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