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 vec­
              tor x.  Unchanged on exit.

       INCX   - INTEGER.
              On entry, INCX specifies the increment for the ele­
              ments  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 vec­
              tor y.  Unchanged on exit.

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

              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.


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