# clarfg(3) [centos man page]

```clarfg.f(3)							      LAPACK							       clarfg.f(3)

NAME
clarfg.f -

SYNOPSIS
Functions/Subroutines
subroutine clarfg (N, ALPHA, X, INCX, TAU)
CLARFG generates an elementary reflector (Householder matrix).

Function/Subroutine Documentation
subroutine clarfg (integerN, complexALPHA, complex, dimension( * )X, integerINCX, complexTAU)
CLARFG generates an elementary reflector (Householder matrix).

Purpose:

CLARFG generates a complex elementary reflector H of order n, such
that

H**H * ( alpha ) = ( beta ),	 H**H * H = I.
(   x	 )   (	 0  )

where alpha and beta are scalars, with beta real, and x is an
(n-1)-element complex vector. H is represented in the form

H = I - tau * ( 1 ) * ( 1 v**H ) ,
( v )

where tau is a complex scalar and v is a complex (n-1)-element
vector. Note that H is not hermitian.

If the elements of x are all zero and alpha is real, then tau = 0
and H is taken to be the unit matrix.

Otherwise  1 <= real(tau) <= 2  and  abs(tau-1) <= 1 .

Parameters:
N

N is INTEGER
The order of the elementary reflector.

ALPHA

ALPHA is COMPLEX
On entry, the value alpha.
On exit, it is overwritten with the value beta.

X

X is COMPLEX array, dimension
(1+(N-2)*abs(INCX))
On entry, the vector x.
On exit, it is overwritten with the vector v.

INCX

INCX is INTEGER
The increment between elements of X. INCX > 0.

TAU

TAU is COMPLEX
The value tau.

Author:
Univ. of Tennessee

Univ. of California Berkeley

NAG Ltd.

Date:
September 2012

Definition at line 107 of file clarfg.f.

Author
Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.2							  Tue Sep 25 2012						       clarfg.f(3)```

## Check Out this Related Man Page

```clarfgp.f(3)							      LAPACK							      clarfgp.f(3)

NAME
clarfgp.f -

SYNOPSIS
Functions/Subroutines
subroutine clarfgp (N, ALPHA, X, INCX, TAU)
CLARFGP generates an elementary reflector (Householder matrix) with non-negatibe beta.

Function/Subroutine Documentation
subroutine clarfgp (integerN, complexALPHA, complex, dimension( * )X, integerINCX, complexTAU)
CLARFGP generates an elementary reflector (Householder matrix) with non-negatibe beta.

Purpose:

CLARFGP generates a complex elementary reflector H of order n, such
that

H**H * ( alpha ) = ( beta ),	 H**H * H = I.
(   x	 )   (	 0  )

where alpha and beta are scalars, beta is real and non-negative, and
x is an (n-1)-element complex vector.  H is represented in the form

H = I - tau * ( 1 ) * ( 1 v**H ) ,
( v )

where tau is a complex scalar and v is a complex (n-1)-element
vector. Note that H is not hermitian.

If the elements of x are all zero and alpha is real, then tau = 0
and H is taken to be the unit matrix.

Parameters:
N

N is INTEGER
The order of the elementary reflector.

ALPHA

ALPHA is COMPLEX
On entry, the value alpha.
On exit, it is overwritten with the value beta.

X

X is COMPLEX array, dimension
(1+(N-2)*abs(INCX))
On entry, the vector x.
On exit, it is overwritten with the vector v.

INCX

INCX is INTEGER
The increment between elements of X. INCX > 0.

TAU

TAU is COMPLEX
The value tau.

Author:
Univ. of Tennessee

Univ. of California Berkeley

NAG Ltd.

Date:
September 2012

Definition at line 105 of file clarfgp.f.

Author
Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.2							  Tue Sep 25 2012						      clarfgp.f(3)```
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