NAME¶

CLARTV - applies a vector of complex plane rotations with real cosines to elements of the complex vectors x and y

SYNOPSIS¶

SUBROUTINE CLARTV(

N, X, INCX, Y, INCY, C, S, INCC )

INTEGER INCC, INCX, INCY, N REAL C( * ) COMPLEX S( * ), X( * ), Y( * )

PURPOSE¶

CLARTV applies a vector of complex plane rotations with real cosines to elements of the complex vectors x and y. For i = 1,2,...,n
( x(i) ) := ( c(i) s(i) ) ( x(i) )
( y(i) ) ( -conjg(s(i)) c(i) ) ( y(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.

INCX (input) INTEGER

The increment between elements of X. INCX > 0.

Y (input/output) COMPLEX array, dimension (1+(N-1)*INCY)

The vector y.

INCY (input) INTEGER

The increment between elements of Y. INCY > 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.