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SRC/zlargv.f(3) LAPACK SRC/zlargv.f(3)

SRC/zlargv.f


subroutine zlargv (n, x, incx, y, incy, c, incc)
ZLARGV generates a vector of plane rotations with real cosines and complex sines.

ZLARGV generates a vector of plane rotations with real cosines and complex sines.

Purpose:


ZLARGV generates a vector of complex plane rotations with real
cosines, determined by elements of the complex vectors x and y.
For i = 1,2,...,n
( c(i) s(i) ) ( x(i) ) = ( r(i) )
( -conjg(s(i)) c(i) ) ( y(i) ) = ( 0 )
where c(i)**2 + ABS(s(i))**2 = 1
The following conventions are used (these are the same as in ZLARTG,
but differ from the BLAS1 routine ZROTG):
If y(i)=0, then c(i)=1 and s(i)=0.
If x(i)=0, then c(i)=0 and s(i) is chosen so that r(i) is real.

Parameters

N


N is INTEGER
The number of plane rotations to be generated.

X


X is COMPLEX*16 array, dimension (1+(N-1)*INCX)
On entry, the vector x.
On exit, x(i) is overwritten by r(i), for i = 1,...,n.

INCX


INCX is INTEGER
The increment between elements of X. INCX > 0.

Y


Y is COMPLEX*16 array, dimension (1+(N-1)*INCY)
On entry, the vector y.
On exit, the sines of the plane rotations.

INCY


INCY is INTEGER
The increment between elements of Y. INCY > 0.

C


C is DOUBLE PRECISION array, dimension (1+(N-1)*INCC)
The cosines of the plane rotations.

INCC


INCC is INTEGER
The increment between elements of C. INCC > 0.

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Further Details:


6-6-96 - 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 121 of file zlargv.f.

Generated automatically by Doxygen for LAPACK from the source code.

Sun Jan 12 2025 15:13:33 Version 3.12.1

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