CLAR2V
November 2006
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) ) :=
( 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) )
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 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.
|