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SRC/zlarfgp.f(3) LAPACK SRC/zlarfgp.f(3)

SRC/zlarfgp.f


subroutine zlarfgp (n, alpha, x, incx, tau)
ZLARFGP generates an elementary reflector (Householder matrix) with non-negative beta.

ZLARFGP generates an elementary reflector (Householder matrix) with non-negative beta.

Purpose:


ZLARFGP 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*16
On entry, the value alpha.
On exit, it is overwritten with the value beta.

X


X is COMPLEX*16 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*16
The value tau.

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 103 of file zlarfgp.f.

Generated automatically by Doxygen for LAPACK from the source code.

Sun Jan 12 2025 15:13:33 Version 3.12.1

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