# clarfx.f - Man Page

SRC/clarfx.f

## Synopsis

### Functions/Subroutines

subroutine clarfx (side, m, n, v, tau, c, ldc, work)
CLARFX applies an elementary reflector to a general rectangular matrix, with loop unrolling when the reflector has order ≤ 10.

## Function/Subroutine Documentation

### subroutine clarfx (character side, integer m, integer n, complex, dimension( * ) v, complex tau, complex, dimension( ldc, * ) c, integer ldc, complex, dimension( * ) work)

CLARFX applies an elementary reflector to a general rectangular matrix, with loop unrolling when the reflector has order ≤ 10.

Purpose:

``` CLARFX 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**H

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.```
Parameters

SIDE

```          SIDE is CHARACTER*1
= 'L': form  H * C
= 'R': form  C * H```

M

```          M is INTEGER
The number of rows of the matrix C.```

N

```          N is INTEGER
The number of columns of the matrix C.```

V

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

TAU

```          TAU is COMPLEX
The value tau in the representation of H.```

C

```          C is COMPLEX 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

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

WORK

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

Univ. of Tennessee

Univ. of California Berkeley

NAG Ltd.

Definition at line 118 of file clarfx.f.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

The man page clarfx(3) is an alias of clarfx.f(3).

Tue Nov 28 2023 12:08:41 Version 3.12.0 LAPACK