zlarfp (l)  Linux Man Pages
zlarfp: generates a complex elementary reflector H of order n, such that Haq * ( alpha ) = ( beta ), Haq * H = I
Command to display zlarfp
manual in Linux: $ man l zlarfp
NAME
ZLARFP  generates a complex elementary reflector H of order n, such that Haq * ( alpha ) = ( beta ), Haq * H = I
SYNOPSIS
 SUBROUTINE ZLARFP(

N, ALPHA, X, INCX, TAU )

INTEGER
INCX, N

COMPLEX*16
ALPHA, TAU

COMPLEX*16
X( * )
PURPOSE
ZLARFP generates a complex elementary reflector H of order n, such
that
( x ) ( 0 )
where alpha and beta are scalars, beta is real and nonnegative, and
x is an (n1)element complex vector. H is represented in the form
H = I  tau * ( 1 ) * ( 1 vaq ) ,
( v )
where tau is a complex scalar and v is a complex (n1)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(tau1) <= 1 .
ARGUMENTS
 N (input) INTEGER

The order of the elementary reflector.
 ALPHA (input/output) COMPLEX*16

On entry, the value alpha.
On exit, it is overwritten with the value beta.
 X (input/output) COMPLEX*16 array, dimension

(1+(N2)*abs(INCX))
On entry, the vector x.
On exit, it is overwritten with the vector v.
 INCX (input) INTEGER

The increment between elements of X. INCX > 0.
 TAU (output) COMPLEX*16

The value tau.
Pages related to zlarfp
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 zlarfb (l)  applies a complex block reflector H or its transpose Haq to a complex MbyN matrix C, from either the left or the right
 zlarfg (l)  generates a complex elementary reflector H of order n, such that Haq * ( alpha ) = ( beta ), Haq * H = I
 zlarft (l)  forms the triangular factor T of a complex block reflector H of order n, which is defined as a product of k elementary reflectors
 zlarfx (l)  applies a complex elementary reflector H to a complex m by n matrix C, from either the left or the right
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 zlar2v (l)  applies a vector of complex plane rotations with real cosines from both sides to a sequence of 2by2 complex Hermitian matrices,
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 zlargv (l)  generates a vector of complex plane rotations with real cosines, determined by elements of the complex vectors x and y
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