SGER(3)         BLAS routine of NEC Numeric Library Collection         SGER(3)



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

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

          A := A + alpha*x*y'

       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 con-
              tain 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.



BLAS routine                    16 October 1992                        SGER(3)