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man pages->IRIX man pages -> complib/zlarfx (3)
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### Contents

```
ZLARFX(3F)							    ZLARFX(3F)

```

### NAME[Toc][Back]

```     ZLARFX - applie a complex elementary reflector H to a complex m by	n
matrix C, from either the left or the right
```

### SYNOPSIS[Toc][Back]

```     SUBROUTINE	ZLARFX(	SIDE, M, N, V, TAU, C, LDC, WORK )

CHARACTER	SIDE

INTEGER	LDC, M,	N

COMPLEX*16	TAU

COMPLEX*16	C( LDC,	* ), V(	* ), WORK( * )
```

### PURPOSE[Toc][Back]

```     ZLARFX applies a complex elementary reflector H to	a complex m by n
matrix C, from either the left or the right. H is represented in the form

H = I - tau * v * v'

where tau is a complex scalar and v is a complex vector.

If	tau = 0, then H	is taken to be the unit	matrix

This version uses inline code if H	has order < 11.

```

### ARGUMENTS[Toc][Back]

```     SIDE    (input) CHARACTER*1
= 'L': form  H * C
= 'R': form  C * H

M	     (input) INTEGER
The number	of rows	of the matrix C.

N	     (input) INTEGER
The number	of columns of the matrix C.

V	     (input) COMPLEX*16	array, dimension (M) if	SIDE = 'L'
or	(N) if SIDE = 'R' The vector v in the representation of	H.

TAU     (input) COMPLEX*16
The value tau in the representation of H.

C	     (input/output) COMPLEX*16 array, dimension	(LDC,N)
On	entry, the m by	n matrix C.  On	exit, C	is overwritten by the
matrix H *	C if SIDE = 'L', or C *	H if SIDE = 'R'.

LDC     (input) INTEGER
The leading dimension of the array	C. LDA >= max(1,M).

Page 1

ZLARFX(3F)							    ZLARFX(3F)

WORK    (workspace) COMPLEX*16 array, dimension (N) if SIDE = 'L'
or	(M) if SIDE = 'R' WORK is not referenced if H has order	< 11.
ZLARFX(3F)							    ZLARFX(3F)

```

### NAME[Toc][Back]

```     ZLARFX - applie a complex elementary reflector H to a complex m by	n
matrix C, from either the left or the right
```

### SYNOPSIS[Toc][Back]

```     SUBROUTINE	ZLARFX(	SIDE, M, N, V, TAU, C, LDC, WORK )

CHARACTER	SIDE

INTEGER	LDC, M,	N

COMPLEX*16	TAU

COMPLEX*16	C( LDC,	* ), V(	* ), WORK( * )
```

### PURPOSE[Toc][Back]

```     ZLARFX applies a complex elementary reflector H to	a complex m by n
matrix C, from either the left or the right. H is represented in the form

H = I - tau * v * v'

where tau is a complex scalar and v is a complex vector.

If	tau = 0, then H	is taken to be the unit	matrix

This version uses inline code if H	has order < 11.

```

### ARGUMENTS[Toc][Back]

```     SIDE    (input) CHARACTER*1
= 'L': form  H * C
= 'R': form  C * H

M	     (input) INTEGER
The number	of rows	of the matrix C.

N	     (input) INTEGER
The number	of columns of the matrix C.

V	     (input) COMPLEX*16	array, dimension (M) if	SIDE = 'L'
or	(N) if SIDE = 'R' The vector v in the representation of	H.

TAU     (input) COMPLEX*16
The value tau in the representation of H.

C	     (input/output) COMPLEX*16 array, dimension	(LDC,N)
On	entry, the m by	n matrix C.  On	exit, C	is overwritten by the
matrix H *	C if SIDE = 'L', or C *	H if SIDE = 'R'.

LDC     (input) INTEGER
The leading dimension of the array	C. LDA >= max(1,M).

Page 1

ZLARFX(3F)							    ZLARFX(3F)

WORK    (workspace) COMPLEX*16 array, dimension (N) if SIDE = 'L'
or	(M) if SIDE = 'R' WORK is not referenced if H has order	< 11.

PPPPaaaaggggeeee 2222```
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