clartg.f(3)

NAME
clartg.f -

SYNOPSIS

  Functions/Subroutines
subroutine clartg (F, G, CS, SN, R)
CLARTG generates a plane rotation with real cosine and complex sine.

Function/Subroutine Documentation

  subroutine clartg (complexF, complexG, realCS, complexSN, complexR)

CLARTG generates a plane rotation with real cosine and complex sine.

Purpose:

     CLARTG generates a plane rotation so that
        [  CS  SN  ]     [ F ]     [ R ]
        [  __      ]  .  [   ]  =  [   ]   where CS**2 + |SN|**2 = 1.
        [ -SN  CS  ]     [ G ]     [ 0 ]
     This is a faster version of the BLAS1 routine CROTG, except for
     the following differences:
        F and G are unchanged on return.
        If G=0, then CS=1 and SN=0.
        If F=0, then CS=0 and SN is chosen so that R is real.

Parameters:
    F

              F is COMPLEX
              The first component of vector to be rotated.

    G

              G is COMPLEX
              The second component of vector to be rotated.

    CS

              CS is REAL
              The cosine of the rotation.

    SN

              SN is COMPLEX
              The sine of the rotation.

    R

              R is COMPLEX
              The nonzero component of the rotated vector.

Author:
    Univ. of Tennessee

    Univ. of California Berkeley

    Univ. of Colorado Denver

    NAG Ltd.

Date:
    November 2013

Further Details:

      3-5-96 - 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 104 of file clartg.f.

Author

Generated automatically by Doxygen for LAPACK from the source code.