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zlarfx.f -

# SYNOPSIS

## Functions/Subroutines

subroutine zlarfx (SIDE, M, N, V, TAU, C, LDC, WORK)

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

# Function/Subroutine Documentation

## subroutine zlarfx (characterSIDE, integerM, integerN, complex*16, dimension( * )V, complex*16TAU, complex*16, dimension( ldc, * )C, integerLDC, complex*16, dimension( * )WORK)

ZLARFX applies an elementary reflector to a general rectangular matrix, with loop unrolling when the reflector has order ≤ 10.
Purpose:
``` 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**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*16 array, dimension (M) if SIDE = 'L'
or (N) if SIDE = 'R'
The vector v in the representation of H.
```
TAU
```          TAU is COMPLEX*16
The value tau in the representation of H.
```
C
```          C is 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
```          LDC is INTEGER
The leading dimension of the array C. LDA >= max(1,M).
```
WORK
```          WORK is COMPLEX*16 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.
Date:
September 2012
Definition at line 120 of file zlarfx.f.

# Author

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