Visible to Intel only — GUID: GUID-849D2D8B-85C3-4046-B52D-1920E5A42C6F
Visible to Intel only — GUID: GUID-849D2D8B-85C3-4046-B52D-1920E5A42C6F
p?her
Performs a rank-1 update of a distributed Hermitian matrix.
Syntax
call pcher(uplo, n, alpha, x, ix, jx, descx, incx, a, ia, ja, desca)
call pzher(uplo, n, alpha, x, ix, jx, descx, incx, a, ia, ja, desca)
Include Files
- mkl_pblas.h
Description
The p?her routines perform a distributed matrix-vector operation defined as
sub(A) := alpha*sub(x)*conjg(sub(x)') + sub(A),
where:
alpha is a real scalar,
sub(A) is a n-by-n distributed Hermitian matrix, sub(A)=A(ia:ia+n-1, ja:ja+n-1),
sub(x) is distributed vector.
sub(x) denotes X(ix, jx:jx+n-1) if incx = m_x, and X(ix: ix+n-1, jx) if incx = 1.
Input Parameters
- uplo
-
(global) CHARACTER*1. Specifies whether the upper or lower triangular part of the Hermitian distributed matrix sub(A) is used:
If uplo = 'U' or 'u', then the upper triangular part of the sub(A) is used.
If uplo = 'L' or 'l', then the low triangular part of the sub(A) is used.
- n
-
(global) INTEGER. Specifies the order of the distributed matrix sub(A), n≥ 0.
- alpha
-
(global)REAL for pcher
DOUBLE REAL for pzher
Specifies the scalar alpha.
- x
-
(local)COMPLEX for pcher
DOUBLE COMPLEX for pzher
Array, size at least (jx-1)*m_x + ix+(n-1)*abs(incx)).
This array contains the entries of the distributed vector sub(x).
- ix, jx
-
(global) INTEGER. The row and column indices in the distributed matrix X indicating the first row and the first column of the submatrix sub(x), respectively.
- descx
-
(global and local) INTEGER array of dimension 9. The array descriptor of the distributed matrix X.
- incx
-
(global) INTEGER. Specifies the increment for the elements of sub(x). Only two values are supported, namely 1 and m_x. incx must not be zero.
- a
-
(local)COMPLEX for pcher
DOUBLE COMPLEX for pzher
Array, size (lld_a, LOCq(ja+n-1)). This array contains the local pieces of the distributed matrix sub(A).
Before entry with uplo = 'U' or 'u', the n-by-n upper triangular part of the distributed matrix sub(A) must contain the upper triangular part of the Hermitian distributed matrix and the strictly lower triangular part of sub(A) is not referenced, and with uplo = 'L' or 'l', the n-by-n lower triangular part of the distributed matrix sub(A) must contain the lower triangular part of the Hermitian 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.
Output Parameters
- a
-
With uplo = 'U' or 'u', the upper triangular part of the array a is overwritten by the upper triangular part of the updated distributed matrix sub(A).
With uplo = 'L' or 'l', the lower triangular part of the array a is overwritten by the lower triangular part of the updated distributed matrix sub(A).