1ZLARTG(1)           LAPACK auxiliary routine (version 3.1)           ZLARTG(1)
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NAME

6       ZLARTG - a plane rotation so that   [ CS SN ] [ F ] [ R ]  [ __ ]
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SYNOPSIS

9       SUBROUTINE ZLARTG( F, G, CS, SN, R )
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11           DOUBLE         PRECISION CS
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13           COMPLEX*16     F, G, R, SN
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PURPOSE

16       ZLARTG generates a plane rotation so that
17          [ -SN  CS  ]     [ G ]     [ 0 ]
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19       This  is  a  faster  version of the BLAS1 routine ZROTG, except for the
20       following differences:
21          F and G are unchanged on return.
22          If G=0, then CS=1 and SN=0.
23          If F=0, then CS=0 and SN is chosen so that R is real.
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ARGUMENTS

27       F       (input) COMPLEX*16
28               The first component of vector to be rotated.
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30       G       (input) COMPLEX*16
31               The second component of vector to be rotated.
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33       CS      (output) DOUBLE PRECISION
34               The cosine of the rotation.
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36       SN      (output) COMPLEX*16
37               The sine of the rotation.
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39       R       (output) COMPLEX*16
40               The nonzero component of the rotated vector.
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FURTHER DETAILS

43       3-5-96 - Modified with a new algorithm by W. Kahan and J. Demmel
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45       This version has a few  statements  commented  out  for  thread  safety
46       (machine parameters are computed on each entry). 10 feb 03, SJH.
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51 LAPACK auxiliary routine (versionNo3v.e1m)ber 2006                       ZLARTG(1)