zlartg.f

Section: LAPACK (3)
Updated: Tue Nov 14 2017
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NAME

zlartg.f  

SYNOPSIS


 

Functions/Subroutines


subroutine zlartg (F, G, CS, SN, R)
ZLARTG generates a plane rotation with real cosine and complex sine.  

Function/Subroutine Documentation

 

subroutine zlartg (complex*16 F, complex*16 G, double precision CS, complex*16 SN, complex*16 R)

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

Purpose:

 ZLARTG 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 ZROTG, 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*16
          The first component of vector to be rotated.


G

          G is COMPLEX*16
          The second component of vector to be rotated.


CS

          CS is DOUBLE PRECISION
          The cosine of the rotation.


SN

          SN is COMPLEX*16
          The sine of the rotation.


R

          R is COMPLEX*16
          The nonzero component of the rotated vector.


 

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

December 2016

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 105 of file zlartg.f.  

Author

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Index

NAME
SYNOPSIS
Functions/Subroutines
Function/Subroutine Documentation
subroutine zlartg (complex*16 F, complex*16 G, double precision CS, complex*16 SN, complex*16 R)
Author