clarfg (l) - Linux Man Pages

clarfg: generates a complex elementary reflector H of order n, such that Haq * ( alpha ) = ( beta ), Haq * H = I

NAME

CLARFG - generates a complex elementary reflector H of order n, such that Haq * ( alpha ) = ( beta ), Haq * H = I

SYNOPSIS

SUBROUTINE CLARFG(
N, ALPHA, X, INCX, TAU )

    
INTEGER INCX, N

    
COMPLEX ALPHA, TAU

    
COMPLEX X( * )

PURPOSE

CLARFG generates a complex elementary reflector H of order n, such that
              )
where alpha and beta are scalars, with beta real, and x is an (n-1)-element complex vector. H is represented in the form
I - tau 1 vaq ,

              )
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 .

ARGUMENTS

N (input) INTEGER
The order of the elementary reflector.
ALPHA (input/output) COMPLEX
On entry, the value alpha. On exit, it is overwritten with the value beta.
X (input/output) COMPLEX array, dimension
(1+(N-2)*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
The value tau.