Performs the Hermitian rank 2 operation.
BLAS Library (libblas.a)
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.
Item | Description |
---|---|
UPLO | On entry, UPLO specifies whether the upper or lower
triangular part of the array A is to be referenced as follows:
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. |