petsc-3.11.4 2019-09-28
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MatMatTransposeMult

 Performs Matrix-Matrix Multiplication C=A*B^T.

Synopsis

#include "petscmat.h" 
PetscErrorCode MatMatTransposeMult(Mat A,Mat B,MatReuse scall,PetscReal fill,Mat *C)
Neighbor-wise Collective on Mat

Input Parameters

A - the left matrix
B - the right matrix
scall - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
fill - expected fill as ratio of nnz(C)/(nnz(A) + nnz(B)), use PETSC_DEFAULT if not known

Output Parameters

C -the product matrix

Notes

C will be created if MAT_INITIAL_MATRIX and must be destroyed by the user with MatDestroy().

MAT_REUSE_MATRIX can only be used if the matrices A and B have the same nonzero pattern as in the previous call

To determine the correct fill value, run with -info and search for the string "Fill ratio" to see the value actually needed.

This routine is currently only implemented for pairs of SeqAIJ matrices, for the SeqDense class, and for pairs of MPIDense matrices.

Options Database Keys

See Also

MatMatTransposeMultSymbolic(), MatMatTransposeMultNumeric(), MatMatMult(), MatTransposeMatMult() MatPtAP()

Level

intermediate

Location

src/mat/interface/matrix.c

Implementations

MatMatTransposeMult_SeqAIJ_SeqAIJ in src/mat/impls/aij/seq/matmatmult.c
MatMatTransposeMult_MPIDense_MPIDense in src/mat/impls/dense/mpi/mpidense.c
MatMatTransposeMult_SeqDense_SeqDense in src/mat/impls/dense/seq/dense.c
MatMatTransposeMult_Elemental in src/mat/impls/elemental/matelem.cxx

Index of all Mat routines
Table of Contents for all manual pages
Index of all manual pages
-matmattransmult_mpidense_mpidense_via {allgatherv,cyclic} - Choose between algorthims for MPIDense matrices: the first redundantly copies the transposed B matrix on each process and requiers O(log P) communication complexity; the second never stores more than one portion of the B matrix at a time by requires O(P) communication complexity.