Provided by: libblas-doc_1.2.20110419-2ubuntu1_all #### NAME

```       SGEMV  -  perform  one  of the matrix-vector operations   y := alpha*A*x + beta*y, or y :=
alpha*A'*x + beta*y,

```

#### SYNOPSIS

```       SUBROUTINE SGEMV ( TRANS, M, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY )

REAL         ALPHA, BETA

INTEGER      INCX, INCY, LDA, M, N

CHARACTER*1  TRANS

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

```

#### PURPOSE

```       SGEMV  performs one of the matrix-vector operations

where alpha and beta are scalars, x and y are vectors and A is an m by n matrix.

```

#### PARAMETERS

```       TRANS  - CHARACTER*1.
On entry, TRANS specifies the operation to be performed as follows:

TRANS = 'N' or 'n'   y := alpha*A*x + beta*y.

TRANS = 'T' or 't'   y := alpha*A'*x + beta*y.

TRANS = 'C' or 'c'   y := alpha*A'*x + beta*y.

Unchanged on exit.

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.

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.  Unchanged on exit.

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.

X      - REAL             array of DIMENSION at least
( 1 + ( n - 1 )*abs( INCX ) ) when TRANS = 'N' or 'n' and at least ( 1 + (  m  -  1
)*abs(  INCX ) ) otherwise.  Before entry, the incremented array X must contain the
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.

BETA   - REAL            .
On entry, BETA specifies the scalar beta. When BETA is supplied as zero then Y need
not be set on input.  Unchanged on exit.

Y      - REAL             array of DIMENSION at least
( 1 + ( m - 1 )*abs( INCY ) ) when TRANS = 'N' or 'n' and at least ( 1 + (  n  -  1
)*abs(  INCY ) ) otherwise.  Before entry with BETA non-zero, the incremented array
Y must contain the vector y. On exit, Y is overwritten by the updated vector y.

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