clargv.f(3)

NAME
clargv.f -

SYNOPSIS

  Functions/Subroutines

subroutine clargv (N, X, INCX, Y, INCY, C, INCC)
CLARGV generates a vector of plane rotations with real cosines and complex sines.

Function/Subroutine Documentation

  subroutine clargv (integerN, complex, dimension( * )X, integerINCX, complex, dimension( * )Y, integerINCY, real, dimension( * )C, integerINCC)

CLARGV generates a vector of plane rotations with real cosines and complex sines.

Purpose:

     CLARGV generates a vector of complex plane rotations with real
     cosines, determined by elements of the complex vectors x and y.
     For i = 1,2,...,n

        (        c(i)   s(i) ) ( x(i) ) = ( r(i) )
        ( -conjg(s(i))  c(i) ) ( y(i) ) = (   0  )

        where c(i)**2 + ABS(s(i))**2 = 1

     The following conventions are used (these are the same as in CLARTG,
     but differ from the BLAS1 routine CROTG):
        If y(i)=0, then c(i)=1 and s(i)=0.
        If x(i)=0, then c(i)=0 and s(i) is chosen so that r(i) is real.

Parameters:
    N

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

    X

              X is COMPLEX array, dimension (1+(N-1)*INCX)
              On entry, the vector x.
              On exit, x(i) is overwritten by r(i), for i = 1,...,n.

    INCX

              INCX is INTEGER
              The increment between elements of X. INCX > 0.

    Y

              Y is COMPLEX array, dimension (1+(N-1)*INCY)
              On entry, the vector y.
              On exit, the sines of the plane rotations.

    INCY

              INCY is INTEGER
              The increment between elements of Y. INCY > 0.

    C

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

    INCC

              INCC is INTEGER
              The increment between elements of C. INCC > 0.

Author:
    Univ. of Tennessee

    Univ. of California Berkeley

    Univ. of Colorado Denver

    NAG Ltd.

Date:
    September 2012

Further Details:

      6-6-96 - Modified with a new algorithm by W. Kahan and J. Demmel

      This version has a few statements commented out for thread safety
      (machine parameters are computed on each entry). 10 feb 03, SJH.

Definition at line 123 of file clargv.f.

Author

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