ZLAR2V(3F)ZLAR2V(3F)NAME
ZLAR2V - applie a vector of complex plane rotations with real cosines
from both sides to a sequence of 2-by-2 complex Hermitian matrices,
SYNOPSIS
SUBROUTINE ZLAR2V( N, X, Y, Z, INCX, C, S, INCC )
INTEGER INCC, INCX, N
DOUBLE PRECISION C( * )
COMPLEX*16 S( * ), X( * ), Y( * ), Z( * )
PURPOSE
ZLAR2V applies a vector of complex plane rotations with real cosines from
both sides to a sequence of 2-by-2 complex Hermitian matrices, defined by
the elements of the vectors x, y and z. For i = 1,2,...,n
( x(i)z(i) ) :=
( conjg(z(i)) y(i) )
( c(i) conjg(s(i)) ) ( x(i)z(i) ) ( c(i) -conjg(s(i)) )
( -s(i)c(i) ) ( conjg(z(i)) y(i) ) ( s(i)c(i) )
ARGUMENTS
N (input) INTEGER
The number of plane rotations to be applied.
X (input/output) COMPLEX*16 array, dimension (1+(N-1)*INCX)
The vector x; the elements of x are assumed to be real.
Y (input/output) COMPLEX*16 array, dimension (1+(N-1)*INCX)
The vector y; the elements of y are assumed to be real.
Z (input/output) COMPLEX*16 array, dimension (1+(N-1)*INCX)
The vector z.
INCX (input) INTEGER
The increment between elements of X, Y and Z. INCX > 0.
C (input) DOUBLE PRECISION array, dimension (1+(N-1)*INCC)
The cosines of the plane rotations.
S (input) COMPLEX*16 array, dimension (1+(N-1)*INCC)
The sines of the plane rotations.
INCC (input) INTEGER
The increment between elements of C and S. INCC > 0.
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