where alpha and beta are scalars, A is an hermitian matrix and B and
C are m by n matrices.
 SIDE  CHARACTER*1.

On entry, SIDE specifies whether the hermitian matrix A
appears on the left or right in the operation as follows:
SIDE = 'L' or 'l' C := alpha*A*B + beta*C,
SIDE = 'R' or 'r' C := alpha*B*A + beta*C,
Unchanged on exit.
 UPLO  CHARACTER*1.

On entry, UPLO specifies whether the upper or lower
triangular part of the hermitian matrix A is to be
referenced as follows:
UPLO = 'U' or 'u' Only the upper triangular part of the
hermitian matrix is to be referenced.
UPLO = 'L' or 'l' Only the lower triangular part of the
hermitian matrix is to be referenced.
Unchanged on exit.
 M  INTEGER.

On entry, M specifies the number of rows of the matrix C.
M must be at least zero.
Unchanged on exit.
 N  INTEGER.

On entry, N specifies the number of columns of the matrix C.
N must be at least zero.
Unchanged on exit.
 ALPHA  COMPLEX .

On entry, ALPHA specifies the scalar alpha.
Unchanged on exit.
 A  COMPLEX array of DIMENSION ( LDA, ka ), where ka is

m when SIDE = 'L' or 'l' and is n otherwise.
Before entry with SIDE = 'L' or 'l', the m by m part of
the array A must contain the hermitian matrix, such that
when UPLO = 'U' or 'u', the leading m by m 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, and when UPLO = 'L' or 'l',
the leading m by m 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.
Before entry with SIDE = 'R' or 'r', the n by n part of
the array A must contain the hermitian matrix, such that
when 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, and when 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.
Note that the imaginary parts of the diagonal elements need
not be set, they are assumed to be zero.
Unchanged on exit.
 LDA  INTEGER.

On entry, LDA specifies the first dimension of A as declared
in the calling (sub) program. When SIDE = 'L' or 'l' then
LDA must be at least max( 1, m ), otherwise LDA must be at
least max( 1, n ).
Unchanged on exit.
 B  COMPLEX array of DIMENSION ( LDB, n ).

Before entry, the leading m by n part of the array B must
contain the matrix B.
Unchanged on exit.
 LDB  INTEGER.

On entry, LDB specifies the first dimension of B as declared
in the calling (sub) program. LDB must be at least
max( 1, m ).
Unchanged on exit.
 BETA  COMPLEX .

On entry, BETA specifies the scalar beta. When BETA is
supplied as zero then C need not be set on input.
Unchanged on exit.
 C  COMPLEX array of DIMENSION ( LDC, n ).

Before entry, the leading m by n part of the array C must
contain the matrix C, except when beta is zero, in which
case C need not be set on entry.
On exit, the array C is overwritten by the m by n updated
matrix.
 LDC  INTEGER.

On entry, LDC specifies the first dimension of C as declared
in the calling (sub) program. LDC must be at least
max( 1, m ).
Unchanged on exit.
Level 3 Blas routine.
 Written on 8February1989.
Jack Dongarra, Argonne National Laboratory.
Iain Duff, AERE Harwell.
Jeremy Du Croz, Numerical Algorithms Group Ltd.
Sven Hammarling, Numerical Algorithms Group Ltd.