clar2v.f man page

subroutine clar2v (N, X, Y, Z, INCX, C, S, INCC)
CLAR2V 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.

CLAR2V 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:

 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)  )

Parameters:

N

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

X

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

Y

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

Z

          Z is COMPLEX 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 REAL array, dimension (1+(N-1)*INCC)
          The cosines of the plane rotations.

S

          S is COMPLEX 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:

December 2016

Definition at line 113 of file clar2v.f.