zlar2v(3S)

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( * )

IMPLEMENTATION
     These routines are part of the SCSL Scientific Library and can be loaded
     using either the -lscs or the -lscs_mp option.  The -lscs_mp option
     directs the linker to use the multi-processor version of the library.

     When linking to SCSL with -lscs or -lscs_mp, the default integer size is
     4 bytes (32 bits). Another version of SCSL is available in which integers
     are 8 bytes (64 bits).  This version allows the user access to larger
     memory sizes and helps when porting legacy Cray codes.  It can be loaded
     by using the -lscs_i8 option or the -lscs_i8_mp option. A program may use
     only one of the two versions; 4-byte integer and 8-byte integer library
     calls cannot be mixed.

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.

SEE ALSO
     INTRO_LAPACK(3S), INTRO_SCSL(3S)

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