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_GER,_GERU,_GERC(3F)					  _GER,_GERU,_GERC(3F)

NAME
     dger, sger, zgeru, cgeru, zgerc, cgerc - BLAS Level Two   Rank 1
     Operation

FORTRAN 77 SYNOPSIS
     subroutine dger( m, n, alpha, x, incx, y, incy, a, lda )
	   integer	      m, n, lda, incx, incy
	   double precision   alpha
	   double precision   a( lda,*), x(*), y(*)

     subroutine sger( m, n, alpha, x, incx, y, incy, a, lda )
	   integer	      m, n, lda, incx, incy
	   real		      alpha
	   real		      a( lda,*), x(*), y(*)

     subroutine zgeru( m, n, alpha, x, incx, y, incy, a, lda )
	   integer	      m, n, lda, incx, incy
	   complex*16	      alpha
	   complex*16	      a( lda,*), x(*), y(*)

     subroutine cgeru( m, n, alpha, x, incx, y, incy, a, lda )
	   integer	      m, n, lda, incx, incy
	   complex	      alpha
	   complex	      a( lda,*), x(*), y(*)

     subroutine zgerc( m, n, alpha, x, incx, y, incy, a, lda )
	   integer	      m, n, lda, incx, incy
	   complex*16	      alpha
	   complex*16	      a( lda,*), x(*), y(*)

     subroutine cgerc( m, n, alpha, x, incx, y, incy, a, lda )
	   integer	      m, n, lda, incx, incy
	   complex	      alpha
	   complex	      a( lda,*), x(*), y(*)

C SYNOPSIS
     void dger( m, n, alpha, x, incx, y, incy, a, lda )
	   Integer	      m, n, lda, incx, incy;
	   double	      alpha;
	   double	      (*a)[lda*n], (*x)[ n ], (*y)[ n ];

     void sger( m, n, alpha, x, incx, y, incy, a, lda )
	   Integer	      m, n, lda, incx, incy;
	   float	      alpha;
	   float	      (*a)[lda*n], (*x)[ n ], (*y)[ n ];

     void zgeru( m, n, alpha, x, incx, y, incy, a, lda )
	   Integer	      m, n, lda, incx, incy;
	   Zomplex	      alpha;
	   Zomplex	      (*a)[lda*n], (*x)[ n ], (*y)[ n ];

									Page 1

_GER,_GERU,_GERC(3F)					  _GER,_GERU,_GERC(3F)

     void cgeru( m, n, alpha, x, incx, y, incy, a, lda )
	   Integer	      m, n, lda, incx, incy;
	   Complex	      alpha;
	   Complex	      (*a)[lda*n], (*x)[ n ], (*y)[ n ];

     void zherc( m, n, alpha, x, incx, y, incy, a, lda )
	   Integer	      m, n, lda, incx, incy;
	   Zomplex	      alpha;
	   Zomplex	      (*a)[lda*n], (*x)[ n ], (*y)[ n ];

     void cgerc( m, n, alpha, x, incx, y, incy, a, lda )
	   Integer	      m, n, lda, incx, incy;
	   Complex	      alpha;
	   Complex	      (*a)[lda*n], (*x)[ n ], (*y)[ n ];

DESCRIPTION
     dger , sger , zheru and cgeru perform the rank 1 operation

	   A := alpha*x*y' + A,

     zgerc and cgerc perform the rank 1 operation

	   A := alpha*x*conjg( y' ) + A,

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

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

     alpha   On entry, alpha specifies the scalar alpha.
	     Unchanged on exit.

     x	     Array of size at least ( 1 + ( m - 1 )*abs( incx ) ). Before
	     entry, the incremented array x must contain the m element vector
	     x.
	     Unchanged on exit.

     incx    On entry, incx specifies the increment for the elements of x.
	     incx must not be zero.
	     Unchanged on exit.

									Page 2

_GER,_GERU,_GERC(3F)					  _GER,_GERU,_GERC(3F)

     y	     Array of size at least ( 1 + ( n - 1 )*abs( incy ) ). Before
	     entry, the incremented array 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 zero.
	     Unchanged on exit.

     a	     An array containing the matrix A.

	     FORTRAN
	     Array of dimension ( lda, n ).

	     C
	     A pointer to an array of size lda*n.
	     See note below about array storage convention for C.

	     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     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.

C ARRAY STORAGE CONVENTION
       The matrices  are assumed  to be stored in a  one dimensional C array
       in an analogous fashion as a Fortran array (column major). Therefore,
       the element  A(i+1,j)  of matrix A  is stored  immediately  after the
       element	A(i,j), while  A(i,j+1) is lda	elements apart from  A(i,j).
       The element A(i,j) of the matrix can be accessed directly by reference
       to  a[ (j-1)*lda + (i-1) ].

AUTHORS
	  Jack Dongarra, Argonne National Laboratory.
	  Iain Duff, AERE Harwell.
	  Jeremy Du Croz, Numerical Algorithms Group Ltd.
	  Sven Hammarling, Numerical Algorithms Group Ltd.

TUNING
	  Optimized and parallelized for SGI R3000, R4x00 and R8000 platforms.

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