Technical Reference: Base Operating System and Extensions, Volume 2

CHER2 or ZHER2 Subroutine

Purpose

Performs the Hermitian rank 2 operation.

Library

BLAS Library (libblas.a)

FORTRAN Syntax

SUBROUTINE CHER2(UPLO, N, ALPHA, X, INCX, Y, INCY, A, LDA) COMPLEX ALPHA INTEGER INCX, INCY, LDA, N CHARACTER*1 UPLO COMPLEX A(LDA,*), X(*), Y(*)

SUBROUTINE ZHER2(UPLO, N, ALPHA,
X, INCX, Y, INCY, A, LDA)
COMPLEX*16 ALPHA
INTEGER INCX,INCY,LDA,N
CHARACTER*1 UPLO
COMPLEX*16 A(LDA,*), X(*), Y(*)

Description

The CHER2 or ZHER2 subroutine performs the Hermitian rank 2 operation:

A := alpha * x * conjg( y' ) + conjg( alpha ) * y * conjy( x' ) + A

where alpha is a scalar, x and y are N element vectors and A is an N by N Hermitian matrix.

Parameters

UPLO	On entry, UPLO specifies whether the upper or lower triangular part of the array A is to be referenced as follows: UPLO = 'U' or 'u' Only the upper triangular part of A is to be referenced. UPLO = 'L' or 'l' Only the lower triangular part of A is to be referenced. Unchanged on exit.
N	On entry, N specifies the order of the matrix A; N must be at least 0; unchanged on exit.
ALPHA	On entry, ALPHA specifies the scalar alpha; unchanged on exit.
X	A vector of dimension at least (1 + (N-1) * abs(INCX) ); on entry, the incremented vector X must contain the N element vector x; unchanged on exit.
INCX	On entry, INCX specifies the increment for the elements of X; INCX must not be 0; unchanged on exit.
Y	A vector of dimension at least (1 + (N-1) * abs(INCY) ); on entry, the incremented vector Y must contain the N element vector y; unchanged on exit.
INCY	On entry, INCY specifies the increment for the elements of Y; INCY must not be 0; unchanged on exit.
A	An array of dimension ( LDA, N ); on entry with UPLO = 'U' or 'u', the leading N by N upper triangular part of the array A must contain the upper triangular part of the Hermitian matrix and the strictly lower triangular part of A is not referenced. On exit, the upper triangular part of the array A is overwritten by the upper triangular part of the updated matrix. On entry with UPLO = 'L' or 'l', the leading N by N lower triangular part of the array A must contain the lower triangular part of the Hermitian matrix and the strictly upper triangular part of A is not referenced. On exit, the lower triangular part of the array A is overwritten by the lower triangular part of the updated matrix. The imaginary parts of the diagonal elements need not be set; they are assumed to be 0, and on exit they are set to 0.
LDA	On entry, LDA specifies the first dimension of A as declared in the calling (sub) program; LDA must be at least max( 1, N ); unchanged on exit.