clar2v.f man page

clar2v.f —

Synopsis

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.

Function/Subroutine Documentation

subroutine clar2v (integerN, complex, dimension( * )X, complex, dimension( * )Y, complex, dimension( * )Z, integerINCX, real, dimension( * )C, complex, dimension( * )S, integerINCC)

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:

September 2012

Definition at line 112 of file clar2v.f.

Author

Generated automatically by Doxygen for LAPACK from the source code.

Referenced By

clar2v(3) is an alias of clar2v.f(3).

Sat Nov 16 2013 Version 3.4.2 LAPACK