NAME

       SGER - perform the rank 1 operation   A := alpha*x*y' + A,

SYNOPSIS

       SUBROUTINE SGER ( M, N, ALPHA, X, INCX, Y, INCY, A, LDA )

           REAL        ALPHA

           INTEGER     INCX, INCY, LDA, M, N

           REAL        A( LDA, * ), X( * ), Y( * )

PURPOSE

       SGER   performs the rank 1 operation

       where  alpha is a scalar, x is an m element vector, y is an n element vector and A is an m
       by n matrix.

PARAMETERS

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

       N      - INTEGER.
              On  entry,  N  specifies the number of columns of the matrix A.  N must be at least
              zero.  Unchanged on exit.

       ALPHA  - REAL            .
              On entry, ALPHA specifies the scalar alpha.  Unchanged on exit.

       X      - REAL             array of dimension at least
              ( 1 + ( m - 1 )*abs( INCX ) ).  Before entry, the incremented array X must  contain
              the m element vector x.  Unchanged on exit.

       INCX   - INTEGER.
              On  entry,  INCX  specifies  the  increment for the elements of X. INCX must not be
              zero.  Unchanged on exit.

       Y      - REAL             array of dimension at least
              ( 1 + ( n - 1 )*abs( INCY ) ).  Before entry, the incremented array Y must  contain
              the n element vector y.  Unchanged on exit.

       INCY   - INTEGER.
              On  entry,  INCY  specifies  the  increment for the elements of Y. INCY must not be
              zero.  Unchanged on exit.

       A      - REAL             array of DIMENSION ( LDA, n ).
              Before entry, the leading m by n part of the array A must  contain  the  matrix  of
              coefficients. On exit, A is overwritten by the updated matrix.

       LDA    - INTEGER.
              On  entry,  LDA specifies the first dimension of A as declared in the calling (sub)
              program. LDA must be at least max( 1, m ).  Unchanged on exit.

              Level 2 Blas routine.

              -- Written on 22-October-1986.  Jack Dongarra, Argonne  National  Lab.   Jeremy  Du
              Croz,  Nag  Central  Office.  Sven Hammarling, Nag Central Office.  Richard Hanson,
              Sandia National Labs.