clar2v(3)

NAME

CLAR2V - applie a vector of complex plane rotations with

real cosines from both sides to a sequence of 2-by-2 complex Her

mitian matrices,

SYNOPSIS

SUBROUTINE CLAR2V( N, X, Y, Z, INCX, C, S, INCC )
    INTEGER        INCC, INCX, N
    REAL           C( * )
    COMPLEX        S( * ), X( * ), Y( * ), Z( * )

PURPOSE

CLAR2V applies a vector of complex plane rotations with

real cosines from both sides to a sequence of 2-by-2 complex Her

mitian 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 array, dimension

(1+(N-1)*INCX)

The vector x; the elements of x are assumed to be

real.

Y (input/output) COMPLEX array, dimension

(1+(N-1)*INCX)

The vector y; the elements of y are assumed to be

real.

Z (input/output) COMPLEX 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) REAL array, dimension (1+(N-1)*INCC)

The cosines of the plane rotations.

S (input) COMPLEX 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.

LAPACK version 3.0 15 June 2000

CLAR2V(3)