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clartg.f(3) LAPACK 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:

September 2012

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

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Tue Sep 25 2012 Version 3.4.2