Visible to Intel only — GUID: GUID-EE88CA36-9C3C-4187-B43F-86846AA0A3E9
Visible to Intel only — GUID: GUID-EE88CA36-9C3C-4187-B43F-86846AA0A3E9
p?herk
Performs a rank-k update of a distributed Hermitian matrix.
Syntax
call pcherk(uplo, trans, n, k, alpha, a, ia, ja, desca, beta, c, ic, jc, descc)
call pzherk(uplo, trans, n, k, alpha, a, ia, ja, desca, beta, c, ic, jc, descc)
Include Files
- mkl_pblas.h
Description
The p?herk routines perform a distributed matrix-matrix operation defined as
sub(C):=alpha*sub(A)*conjg(sub(A)')+ beta*sub(C),
or
sub(C):=alpha*conjg(sub(A)')*sub(A)+ beta*sub(C),
where:
alpha and beta are scalars,
sub(C) is an n-by-n Hermitian distributed matrix, sub(C)=C(ic:ic+n-1, jc:jc+n-1).
sub(A) is a distributed matrix, sub(A)=A(ia:ia+n-1, ja:ja+k-1), if trans = 'N' or 'n', and sub(A)=A(ia:ia+k-1, ja:ja+n-1) otherwise.
Input Parameters
- uplo
-
(global) CHARACTER*1. Specifies whether the upper or lower triangular part of the Hermitian distributed matrix sub(C) is used:
If uplo = 'U' or 'u', then the upper triangular part of the sub(C) is used.
If uplo = 'L' or 'l', then the low triangular part of the sub(C) is used.
- trans
-
(global) CHARACTER*1. Specifies the operation:
if trans = 'N' or 'n', then sub(C) := alpha*sub(A)*conjg(sub(A)') + beta*sub(C);
if trans = 'C' or 'c', then sub(C) := alpha*conjg(sub(A)')*sub(A) + beta*sub(C).
- n
-
(global) INTEGER. Specifies the order of the distributed matrix sub(C), n≥ 0.
- k
-
(global) INTEGER. On entry with trans = 'N' or 'n', k specifies the number of columns of the distributed matrix sub(A) , and on entry with trans = 'T' or 't' or 'C' or 'c', k specifies the number of rows of the distributed matrix sub(A), k≥ 0.
- alpha
-
(global)REAL for pcherk
DOUBLE PRECISION for pzherk
Specifies the scalar alpha.
- a
-
(local)COMPLEX for pcherk
DOUBLE COMPLEX for pzherk
Array, size (lld_a, kla), where kla is LOCq(ja+k-1) when trans = 'N' or 'n', and is LOCq(ja+n-1) otherwise. Before entry with trans = 'N' or 'n', this array contains the local pieces of the distributed matrix sub(A).
- 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.
- beta
-
(global)REAL for pcherk
DOUBLE PRECISION for pzherk
Specifies the scalar beta.
- c
-
(local)COMPLEX for pcherk
DOUBLE COMPLEX for pzherk
Array, size (lld_c, LOCq(jc+n-1)).
Before entry with uplo = 'U' or 'u', this array contains n-by-n upper triangular part of the symmetric distributed matrix sub(C) and its strictly lower triangular part is not referenced.
Before entry with uplo = 'L' or 'l', this array contains n-by-n lower triangular part of the symmetric distributed matrix sub(C) and its strictly upper triangular part is not referenced.
- 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
-
With uplo = 'U' or 'u', the upper triangular part of sub(C) is overwritten by the upper triangular part of the updated distributed matrix.
With uplo = 'L' or 'l', the lower triangular part of sub(C) is overwritten by the upper triangular part of the updated distributed matrix.