NAME¶

ZLAR2V - applies 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.