slarfg.f(3) LAPACK slarfg.f(3)NAME
slarfg.f -
SYNOPSIS
Functions/Subroutines
subroutine slarfg (N, ALPHA, X, INCX, TAU)
SLARFG
Function/Subroutine Documentation
subroutine slarfg (integerN, realALPHA, real, dimension( * )X, integerINCX, realTAU)
SLARFG
Purpose:
SLARFG generates a real elementary reflector H of order n, such
that
H * ( alpha ) = ( beta ), H**T * H = I.
( x ) ( 0 )
where alpha and beta are scalars, and x is an (n-1)-element real
vector. H is represented in the form
H = I - tau * ( 1 ) * ( 1 v**T ) ,
( v )
where tau is a real scalar and v is a real (n-1)-element
vector.
If the elements of x are all zero, then tau = 0 and H is taken to be
the unit matrix.
Otherwise 1 <= tau <= 2.
Parameters:
N
N is INTEGER
The order of the elementary reflector.
ALPHA
ALPHA is REAL
On entry, the value alpha.
On exit, it is overwritten with the value beta.
X
X is REAL 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 REAL
The value tau.
Author:
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
November 2011
Definition at line 107 of file slarfg.f.
Author
Generated automatically by Doxygen for LAPACK from the source code.
Version 3.4.1 Sun May 26 2013 slarfg.f(3)
Check Out this Related Man Page
slarfgp.f(3) LAPACK slarfgp.f(3)NAME
slarfgp.f -
SYNOPSIS
Functions/Subroutines
subroutine slarfgp (N, ALPHA, X, INCX, TAU)
SLARFGP
Function/Subroutine Documentation
subroutine slarfgp (integerN, realALPHA, real, dimension( * )X, integerINCX, realTAU)
SLARFGP
Purpose:
SLARFGP generates a real elementary reflector H of order n, such
that
H * ( alpha ) = ( beta ), H**T * H = I.
( x ) ( 0 )
where alpha and beta are scalars, beta is non-negative, and x is
an (n-1)-element real vector. H is represented in the form
H = I - tau * ( 1 ) * ( 1 v**T ) ,
( v )
where tau is a real scalar and v is a real (n-1)-element
vector.
If the elements of x are all zero, 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 REAL
On entry, the value alpha.
On exit, it is overwritten with the value beta.
X
X is REAL 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 REAL
The value tau.
Author:
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
November 2011
Definition at line 105 of file slarfgp.f.
Author
Generated automatically by Doxygen for LAPACK from the source code.
Version 3.4.1 Sun May 26 2013 slarfgp.f(3)
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