petsc3.15.0 20210405
MatMatTransposeSolve
Solves A X = B^T, given a factored matrix.
Synopsis
#include "petscmat.h"
PetscErrorCode MatMatTransposeSolve(Mat A,Mat Bt,Mat X)
Neighborwise Collective on Mat
Input Parameters
 A   the factored matrix

 Bt   the transpose of righthandside matrix

Output Parameter
 X   the result matrix (dense matrix)

Notes
Most users should usually employ the simplified KSP interface for linear solvers
instead of working directly with matrix algebra routines such as this.
See, e.g., KSPCreate(). However KSP can only solve for one vector (column of X)
at a time.
For MUMPS, it only supports centralized sparse compressed column format on the host processor for right hand side matrix. User must create B^T in sparse compressed row format on the host processor and call MatMatTransposeSolve() to implement MUMPS' MatMatSolve().
See Also
MatMatSolve(), MatMatSolveTranspose(), MatLUFactor(), MatCholeskyFactor()
Level
developer
Location
src/mat/interface/matrix.c
Implementations
MatMatTransposeSolve_MUMPS in src/mat/impls/aij/mpi/mumps/mumps.c
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