Visible to Intel only — GUID: GUID-FA73EB4D-E42B-409B-A969-A66F6B51EEE0
Visible to Intel only — GUID: GUID-FA73EB4D-E42B-409B-A969-A66F6B51EEE0
p?symm
Performs a scalar-matrix-matrix product (one matrix operand is symmetric) and adds the result to a scalar-matrix product for distribute matrices.
Syntax
call pssymm(side, uplo, m, n, alpha, a, ia, ja, desca, b, ib, jb, descb, beta, c, ic, jc, descc)
call pdsymm(side, uplo, m, n, alpha, a, ia, ja, desca, b, ib, jb, descb, beta, c, ic, jc, descc)
call pcsymm(side, uplo, m, n, alpha, a, ia, ja, desca, b, ib, jb, descb, beta, c, ic, jc, descc)
call pzsymm(side, uplo, m, n, alpha, a, ia, ja, desca, b, ib, jb, descb, beta, c, ic, jc, descc)
Include Files
- mkl_pblas.h
Description
The p?symm routines perform a matrix-matrix operation with distributed matrices. The operation is defined as
sub(C):=alpha*sub(A)*sub(B)+ beta*sub(C),
or
sub(C):=alpha*sub(B)*sub(A)+ beta*sub(C),
where:
alpha and beta are scalars,
sub(A) is a symmetric distributed matrix, sub(A)=A(ia:ia+m-1, ja:ja+m-1), if side ='L', and sub(A)=A(ia:ia+n-1, ja:ja+n-1), if side ='R'.
sub(B) and sub(C) are m-by-n distributed matrices.
sub(B)=B(ib:ib+m-1, jb:jb+n-1), sub(C)=C(ic:ic+m-1, jc:jc+n-1).
Input Parameters
- side
-
(global) CHARACTER*1. Specifies whether the symmetric distributed matrix sub(A) appears on the left or right in the operation:
if side = 'L' or 'l', then sub(C) := alpha*sub(A) *sub(B) + beta*sub(C);
if side = 'R' or 'r', then sub(C) := alpha*sub(B) *sub(A) + beta*sub(C).
- uplo
-
(global) CHARACTER*1. Specifies whether the upper or lower triangular part of the symmetric distributed matrix sub(A) is used:
if uplo = 'U' or 'u', then the upper triangular part is used;
if uplo = 'L' or 'l', then the lower triangular part is used.
- m
-
(global) INTEGER. Specifies the number of rows of the distribute submatrix sub(C), m≥ 0.
- n
-
(global) INTEGER. Specifies the number of columns of the distribute submatrix sub(C), m≥ 0.
- alpha
-
(global)REAL for pssymm
DOUBLE PRECISION for pdsymm
COMPLEX for pcsymm
DOUBLE COMPLEX for pzsymm
Specifies the scalar alpha.
- a
-
(local)REAL for pssymm
DOUBLE PRECISION for pdsymm
COMPLEX for pcsymm
DOUBLE COMPLEX for pzsymm
Array, size (lld_a, LOCq(ja+na-1)).
Before entry this array must contain the local pieces of the symmetric distributed matrix sub(A), such that when uplo = 'U' or 'u', the na-by-na upper triangular part of the distributed matrix sub(A) must contain the upper triangular part of the symmetric distributed matrix and the strictly lower triangular part of sub(A) is not referenced, and when uplo = 'L' or 'l', the na-by-na lower triangular part of the distributed matrix sub(A) must contain the lower triangular part of the symmetric distributed matrix and the strictly upper triangular part of sub(A) is not referenced.
- ia, ja
-
(global) INTEGER. The row and column indices in the distributed matrix A indicating the first row and the first column of the submatrix sub(A), respectively.
- desca
-
(global and local) INTEGER array of dimension 9. The array descriptor of the distributed matrix A.
- b
-
(local)REAL for pssymm
DOUBLE PRECISION for pdsymm
COMPLEX for pcsymm
DOUBLE COMPLEX for pzsymm
Array, size (lld_b, LOCq(jb+n-1) ). Before entry this array must contain the local pieces of the distributed matrix sub(B).
- ib, jb
-
(global) INTEGER. The row and column indices in the distributed matrix B indicating the first row and the first column of the submatrix sub(B), respectively.
- descb
-
(global and local) INTEGER array of dimension 9. The array descriptor of the distributed matrix B.
- beta
-
(global)REAL for pssymm
DOUBLE PRECISION for pdsymm
COMPLEX for pcsymm
DOUBLE COMPLEX for pzsymm
Specifies the scalar beta.
When beta is set to zero, then sub(C) need not be set on input.
- c
-
(local)REAL for pssymm
DOUBLE PRECISION for pdsymm
COMPLEX for pcsymm
DOUBLE COMPLEX for pzsymm
Array, size (lld_c, LOCq(jc+n-1) ). Before entry this array must contain the local pieces of the distributed matrix sub(C).
- ic, jc
-
(global) INTEGER. The row and column indices in the distributed matrix C indicating the first row and the first column of the submatrix sub(C), respectively.
- descc
-
(global and local) INTEGER array of dimension 9. The array descriptor of the distributed matrix C.
Output Parameters
- c
-
Overwritten by the m-by-n updated matrix.