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## NAME

```       DGER - perform the rank 1 operation   A := alpha*x*y’ + A,

```

## SYNOPSIS

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

DOUBLE      PRECISION ALPHA

INTEGER     INCX, INCY, LDA, M, N

DOUBLE      PRECISION A( LDA, * ), X( * ), Y( * )

```

## PURPOSE

```       DGER   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  - DOUBLE PRECISION.
On entry, ALPHA specifies the scalar alpha.  Unchanged on  exit.

X      - DOUBLE PRECISION 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      - DOUBLE PRECISION 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      - DOUBLE PRECISION 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.
```