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## man page of LAPACK-3

### LAPACK-3: generates a plane rotation so that [ CS SN ] [ F ] [ R ] [ __ ]

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NAME

LAPACK-3 - generates a plane rotation so that [ CS SN ] [ F ] [ R ] [ __ ]## SYNOPSIS

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

ZLARTG generates a plane rotation so that [ -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.## ARGUMENTS

F (input) COMPLEX*16 The first component of vector to be rotated. G (input) COMPLEX*16 The second component of vector to be rotated. CS (output) DOUBLE PRECISION The cosine of the rotation. SN (output) COMPLEX*16 The sine of the rotation. R (output) COMPLEX*16 The nonzero component of the rotated vector.## 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. LAPACK auxiliary routine (versionMarch 2011 LAPACK-3(3)

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