zlar2v(l) [redhat man page]

ZLAR2V(l)								 )								 ZLAR2V(l)

NAME

       ZLAR2V - applie 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.

LAPACK version 3.0						   15 June 2000 							 ZLAR2V(l)

zlar2v.f(3)							      LAPACK							       zlar2v.f(3)

NAME

       zlar2v.f -

SYNOPSIS

   Functions/Subroutines
       subroutine zlar2v (N, X, Y, Z, INCX, C, S, INCC)
	   ZLAR2V applies a vector of plane rotations with real cosines and complex sines from both sides to a sequence of 2-by-2
	   symmetric/Hermitian matrices.

Function/Subroutine Documentation
   subroutine zlar2v (integerN, complex*16, dimension( * )X, complex*16, dimension( * )Y, complex*16, dimension( * )Z, integerINCX, double
       precision, dimension( * )C, complex*16, dimension( * )S, integerINCC)
       ZLAR2V applies a vector of plane rotations with real cosines and complex sines from both sides to a sequence of 2-by-2 symmetric/Hermitian
       matrices.

       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)	)

       Parameters:
	   N

		     N is INTEGER
		     The number of plane rotations to be applied.

	   X

		     X is COMPLEX*16 array, dimension (1+(N-1)*INCX)
		     The vector x; the elements of x are assumed to be real.

	   Y

		     Y is COMPLEX*16 array, dimension (1+(N-1)*INCX)
		     The vector y; the elements of y are assumed to be real.

	   Z

		     Z is COMPLEX*16 array, dimension (1+(N-1)*INCX)
		     The vector z.

	   INCX

		     INCX is INTEGER
		     The increment between elements of X, Y and Z. INCX > 0.

	   C

		     C is DOUBLE PRECISION array, dimension (1+(N-1)*INCC)
		     The cosines of the plane rotations.

	   S

		     S is COMPLEX*16 array, dimension (1+(N-1)*INCC)
		     The sines of the plane rotations.

	   INCC

		     INCC is INTEGER
		     The increment between elements of C and S. INCC > 0.

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   September 2012

       Definition at line 112 of file zlar2v.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.2							  Tue Sep 25 2012						       zlar2v.f(3)