clar2v.f File Reference

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Functions/Subroutines
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.

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Function/Subroutine Documentation

subroutine clar2v	(	integer	N,
		complex, dimension( * )	X,
		complex, dimension( * )	Y,
		complex, dimension( * )	Z,
		integer	INCX,
		real, dimension( * )	C,
		complex, dimension( * )	S,
		integer	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.

Download CLAR2V + dependencies [TGZ] [ZIP] [TXT]

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:

[in]	N	N is INTEGER The number of plane rotations to be applied.
[in,out]	X	X is COMPLEX array, dimension (1+(N-1)*INCX) The vector x; the elements of x are assumed to be real.
[in,out]	Y	Y is COMPLEX array, dimension (1+(N-1)*INCX) The vector y; the elements of y are assumed to be real.
[in,out]	Z	Z is COMPLEX array, dimension (1+(N-1)*INCX) The vector z.
[in]	INCX	INCX is INTEGER The increment between elements of X, Y and Z. INCX > 0.
[in]	C	C is REAL array, dimension (1+(N-1)*INCC) The cosines of the plane rotations.
[in]	S	S is COMPLEX array, dimension (1+(N-1)*INCC) The sines of the plane rotations.
[in]	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 clar2v.f.

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