MatMultTranspose#

Computes matrix transpose times a vector \(y = A^T * x\).

Synopsis#

#include "petscmat.h" 
PetscErrorCode MatMultTranspose(Mat mat, Vec x, Vec y)

Neighbor-wise Collective

Input Parameters#

  • mat - the matrix

  • x - the vector to be multiplied

Output Parameter#

  • y - the result

Notes#

The vectors x and y cannot be the same. I.e., one cannot call MatMultTranspose(A,y,y).

For complex numbers this does NOT compute the Hermitian (complex conjugate) transpose multiple, use MatMultHermitianTranspose()

See Also#

Matrices, Mat, MatMult(), MatMultAdd(), MatMultTransposeAdd(), MatMultHermitianTranspose(), MatTranspose()

Level#

beginner

Location#

src/mat/interface/matrix.c

Examples#

src/tao/tutorials/ex4.c
src/tao/pde_constrained/tutorials/elliptic.c
src/tao/pde_constrained/tutorials/hyperbolic.c
src/snes/tutorials/ex36.c
src/ksp/ksp/tutorials/ex72.c
src/ksp/ksp/tutorials/ex73.c
src/dm/impls/swarm/tutorials/ex1f90.F90
src/ksp/ksp/tutorials/ex53.c
src/mat/tutorials/ex2.c
src/tao/constrained/tutorials/tomographyADMM.c

Implementations#

MatMultTranspose_SeqUSFFT() in src/dm/impls/da/usfft/matusfft.c
MatMultTranspose_MAmI() in src/ksp/pc/impls/h2opus/pch2opus.c
MatMultTranspose_Hyper() in src/ksp/pc/impls/h2opus/pch2opus.c
MatMultTranspose_NS() in src/ksp/pc/impls/h2opus/pch2opus.c
MatMultTranspose_Harmonic() in src/ksp/pc/impls/hpddm/pchpddm.cxx
MatMultTranspose_MPIAIJKokkos() in src/mat/impls/aij/mpi/kokkos/mpiaijkok.kokkos.cxx
MatMultTranspose_MPIAIJ() in src/mat/impls/aij/mpi/mpiaij.c
MatMultTranspose_MPIAIJCUSPARSE() in src/mat/impls/aij/mpi/mpicusparse/mpiaijcusparse.cu
MatMultTranspose_MPIAIJHIPSPARSE() in src/mat/impls/aij/mpi/mpihipsparse/mpiaijhipsparse.hip.c
MatMultTranspose_SeqAIJ() in src/mat/impls/aij/seq/aij.c
MatMultTranspose_SeqAIJMKL() in src/mat/impls/aij/seq/aijmkl/aijmkl.c
MatMultTranspose_SeqAIJSELL() in src/mat/impls/aij/seq/aijsell/aijsell.c
MatMultTranspose_SeqAIJKokkos() in src/mat/impls/aij/seq/kokkos/aijkok.kokkos.cxx
MatMultTranspose_SeqAIJCUSPARSE() in src/mat/impls/aij/seq/seqcusparse/aijcusparse.cu
MatMultTranspose_SeqAIJHIPSPARSE() in src/mat/impls/aij/seq/seqhipsparse/aijhipsparse.hip.c
MatMultTranspose_MPIBAIJ() in src/mat/impls/baij/mpi/mpibaij.c
MatMultTranspose_SeqBAIJ() in src/mat/impls/baij/seq/baij2.c
MatMultTranspose_BlockMat() in src/mat/impls/blockmat/seq/blockmat.c
MatMultTranspose_Composite() in src/mat/impls/composite/mcomposite.c
MatMultTranspose_SeqCUFFT() in src/mat/impls/cufft/cufft.cu
MatMultTranspose_MPIDense() in src/mat/impls/dense/mpi/mpidense.c
MatMultTranspose_SeqDense() in src/mat/impls/dense/seq/dense.c
MatMultTranspose_Elemental() in src/mat/impls/elemental/matelem.cxx
MatMultTranspose_SeqFFTW() in src/mat/impls/fft/fftw/fftw.c
MatMultTranspose_MPIFFTW() in src/mat/impls/fft/fftw/fftw.c
MatMultTranspose_H2OPUS() in src/mat/impls/h2opus/cuda/math2opus.cu
MatMultTranspose_Htool() in src/mat/impls/htool/htool.cxx
MatMultTranspose_HYPRE() in src/mat/impls/hypre/mhypre.c
MatMultTranspose_IS() in src/mat/impls/is/matis.c
MatMultTranspose_LRC() in src/mat/impls/lrc/lrc.c
MatMultTranspose_Nest() in src/mat/impls/nest/matnest.c
MatMultTranspose_ScaLAPACK() in src/mat/impls/scalapack/matscalapack.c
MatMultTranspose_Scatter() in src/mat/impls/scatter/mscatter.c
MatMultTranspose_MPISELL() in src/mat/impls/sell/mpi/mpisell.c
MatMultTranspose_SeqSELL() in src/mat/impls/sell/seq/sell.c
MatMultTranspose_Shell() in src/mat/impls/shell/shell.c
MatMultTranspose_CF() in src/mat/impls/shell/shellcnv.c
MatMultTranspose_SubMatrix() in src/mat/impls/submat/submat.c
MatMultTranspose_Transpose() in src/mat/impls/transpose/transm.c


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