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.TH CLAR2V l "15 June 2000" "LAPACK version 3.0" ")"
.SH NAME
CLAR2V - applie a vector of complex plane rotations with real cosines from both sides to a sequence of 2-by-2 complex Hermitian matrices,
.SH SYNOPSIS
.TP 19
SUBROUTINE CLAR2V(
N, X, Y, Z, INCX, C, S, INCC )
.TP 19
.ti +4
INTEGER
INCC, INCX, N
.TP 19
.ti +4
REAL
C( * )
.TP 19
.ti +4
COMPLEX
S( * ), X( * ), Y( * ), Z( * )
.SH PURPOSE
CLAR2V 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) ) :=
.br
( conjg(z(i)) y(i) )
.br
( 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) )
.SH ARGUMENTS
.TP 8
N (input) INTEGER
The number of plane rotations to be applied.
.TP 8
X (input/output) COMPLEX array, dimension (1+(N-1)*INCX)
The vector x; the elements of x are assumed to be real.
.TP 8
Y (input/output) COMPLEX array, dimension (1+(N-1)*INCX)
The vector y; the elements of y are assumed to be real.
.TP 8
Z (input/output) COMPLEX array, dimension (1+(N-1)*INCX)
The vector z.
.TP 8
INCX (input) INTEGER
The increment between elements of X, Y and Z. INCX > 0.
.TP 8
C (input) REAL array, dimension (1+(N-1)*INCC)
The cosines of the plane rotations.
.TP 8
S (input) COMPLEX array, dimension (1+(N-1)*INCC)
The sines of the plane rotations.
.TP 8
INCC (input) INTEGER
The increment between elements of C and S. INCC > 0.
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