p?trmm
p?trmm
Computes a scalar-matrix-matrix product (one matrix operand is triangular) for distributed matrices.
Syntax
void pstrmm
(
const char
*side
,
const char
*uplo
,
const char
*transa
,
const char
*diag
,
const MKL_INT
*m
,
const MKL_INT
*n
,
const float
*alpha
,
const float
*a
,
const MKL_INT
*ia
,
const MKL_INT
*ja
,
const MKL_INT
*desca
,
float
*b
,
const MKL_INT
*ib
,
const MKL_INT
*jb
,
const MKL_INT
*descb
);
void pdtrmm
(
const char
*side
,
const char
*uplo
,
const char
*transa
,
const char
*diag
,
const MKL_INT
*m
,
const MKL_INT
*n
,
const double
*alpha
,
const double
*a
,
const MKL_INT
*ia
,
const MKL_INT
*ja
,
const MKL_INT
*desca
,
double
*b
,
const MKL_INT
*ib
,
const MKL_INT
*jb
,
const MKL_INT
*descb
);
void pctrmm
(
const char
*side
,
const char
*uplo
,
const char
*transa
,
const char
*diag
,
const MKL_INT
*m
,
const MKL_INT
*n
,
const MKL_Complex8
*alpha
,
const MKL_Complex8
*a
,
const MKL_INT
*ia
,
const MKL_INT
*ja
,
const MKL_INT
*desca
,
MKL_Complex8
*b
,
const MKL_INT
*ib
,
const MKL_INT
*jb
,
const MKL_INT
*descb
);
void pztrmm
(
const char
*side
,
const char
*uplo
,
const char
*transa
,
const char
*diag
,
const MKL_INT
*m
,
const MKL_INT
*n
,
const MKL_Complex16
*alpha
,
const MKL_Complex16
*a
,
const MKL_INT
*ia
,
const MKL_INT
*ja
,
const MKL_INT
*desca
,
MKL_Complex16
*b
,
const MKL_INT
*ib
,
const MKL_INT
*jb
,
const MKL_INT
*descb
);
Include Files
- mkl_pblas.h
Description
The
p?trmm
routines perform a matrix-matrix operation using triangular matrices. The operation is defined as sub(B) := alpha*op(sub(A))*sub(B)
or
sub(B) := alpha*sub(B)*op(sub(A))
where:
alpha
is a scalar,sub(
is an B
)m
-by-n
distributed matrix, sub(
.B
)=B
(ib
:ib
+m
-1, jb
:jb
+n
-1)A
is a unit, or non-unit, upper or lower triangular distributed matrix, sub(
,
if A
)=A
(ia
:ia
+m
-1, ja
:ja
+m
-1)side
= 'L
''
, and l
'sub(
, if A
)=A
(ia
:ia
+n
-1, ja
:ja
+n
-1)side
= 'R
''
.r
'op(sub(
is one of A
))op(sub(
, or A
)) = sub(A
)op(sub(
, or A
)) = sub(A
)'op(sub(
.A
)) = conjg(sub(A
)')Input Parameters
- side
- (global) Specifies whetherop(sub(appears on the left or right ofA))sub(in the operation:B)iforside='L''l', thensub(;B) :=alpha*op(sub(A))*sub(B)iforside='R''r', thensub(.B) :=alpha*sub(B)*op(sub(A))
- uplo
- (global) Specifies whether the distributed matrixsub(is upper or lower triangular:A)iforuplo='U''u', then the matrix is upper triangular;iforuplo='L''l', then the matrix is low triangular.
- transa
- (global) Specifies the form ofop(sub(used in the matrix multiplication:A))ifortransa= 'N'', thenn'op(sub(;A)) = sub(A)ifortransa= 'T'', thent'op(sub(;A)) = sub(A)'ifortransa= 'C'', thenc'op(sub(.A)) = conjg(sub(A)')
- diag
- (global) Specifies whether the matrixsub(is unit triangular:A)ifordiag='U''u'then the matrix is unit triangular;ifordiag='N''n', then the matrix is not unit triangular.
- m
- (global) Specifies the number of rows of the distributed matrixsub(,B)m≥0.
- n
- (global) Specifies the number of columns of the distributed matrixsub(,B)n≥0.
- alpha
- (global)Specifies the scalaralpha.Whenalphais zero, then the arraybneed not be set before entry.
- a
- (local)Array, sizelld_abyka, wherekais at leastLOCq(1,whenja+m-1)orside='L''l'and is at leastLOCq(1,whenja+n-1)orside='R''r'.Before entry withoruplo='U''u', this array contains the local entries corresponding to the entries of the upper triangular distributed matrixsub(, and the local entries corresponding to the entries of the strictly lower triangular part of the distributed matrixA)sub(is not referenced.A)Before entry withoruplo='L''l', this array contains the local entries corresponding to the entries of the lower triangular distributed matrixsub(, and the local entries corresponding to the entries of the strictly upper triangular part of the distributed matrixA)sub(is not referenced .A)Whenordiag='U''u', the local entries corresponding to the diagonal elements of the submatrixsub(are not referenced either, but are assumed to be unity.A)
- ia,ja
- (global) The row and column indices in the distributed matrixAindicating the first row and the first column of the submatrixsub(, respectively.A)
- desca
- (global and local) array of dimension 9. The array descriptor of the distributed matrixA.
- b
- (local)Array, size (lld_b,LOCq(1,).jb+n-1)Before entry, this array contains the local pieces of the distributed matrixsub(.B)
- ib,jb
- (global) The row and column indices in the distributed matrixBindicating the first row and the first column of the submatrixsub(, respectively.B)
- descb
- (global and local) array of dimension 9. The array descriptor of the distributed matrixB.
Output Parameters
- b
- Overwritten by the transformed distributed matrix.