NAME

       dlar2v.f -

SYNOPSIS

   Functions/Subroutines
       subroutine dlar2v (N, X, Y, Z, INCX, C, S, INCC)
           DLAR2V applies a vector of plane rotations with real cosines and real sines from both
           sides to a sequence of 2-by-2 symmetric/Hermitian matrices.

Function/Subroutine Documentation

   subroutine dlar2v (integer N, double precision, dimension( * ) X, double precision, dimension(
       * ) Y, double precision, dimension( * ) Z, integer INCX, double precision, dimension( * )
       C, double precision, dimension( * ) S, integer INCC)
       DLAR2V applies a vector of plane rotations with real cosines and real sines from both
       sides to a sequence of 2-by-2 symmetric/Hermitian matrices.

       Purpose:

            DLAR2V applies a vector of real plane rotations from both sides to
            a sequence of 2-by-2 real symmetric matrices, defined by the elements
            of the vectors x, y and z. For i = 1,2,...,n

               ( x(i)  z(i) ) := (  c(i)  s(i) ) ( x(i)  z(i) ) ( c(i) -s(i) )
               ( z(i)  y(i) )    ( -s(i)  c(i) ) ( z(i)  y(i) ) ( s(i)  c(i) )

       Parameters:
           N

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

           X

                     X is DOUBLE PRECISION array,
                                    dimension (1+(N-1)*INCX)
                     The vector x.

           Y

                     Y is DOUBLE PRECISION array,
                                    dimension (1+(N-1)*INCX)
                     The vector y.

           Z

                     Z is DOUBLE PRECISION 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 DOUBLE PRECISION 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

Author

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