# clargv.f(3) [centos man page]

```clargv.f(3)							      LAPACK							       clargv.f(3)

NAME
clargv.f -

SYNOPSIS
Functions/Subroutines
subroutine clargv (N, X, INCX, Y, INCY, C, INCC)
CLARGV generates a vector of plane rotations with real cosines and complex sines.

Function/Subroutine Documentation
subroutine clargv (integerN, complex, dimension( * )X, integerINCX, complex, dimension( * )Y, integerINCY, real, dimension( * )C, integerINCC)
CLARGV generates a vector of plane rotations with real cosines and complex sines.

Purpose:

CLARGV 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 CLARTG,
but differ from the BLAS1 routine CROTG):
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 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 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 REAL 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

NAG Ltd.

Date:
September 2012

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 123 of file clargv.f.

Author
Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.2							  Tue Sep 25 2012						       clargv.f(3)```

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```clartv.f(3)							      LAPACK							       clartv.f(3)

NAME
clartv.f -

SYNOPSIS
Functions/Subroutines
subroutine clartv (N, X, INCX, Y, INCY, C, S, INCC)
CLARTV applies a vector of plane rotations with real cosines and complex sines to the elements of a pair of vectors.

Function/Subroutine Documentation
subroutine clartv (integerN, complex, dimension( * )X, integerINCX, complex, dimension( * )Y, integerINCY, real, dimension( * )C, complex,
dimension( * )S, integerINCC)
CLARTV applies a vector of plane rotations with real cosines and complex sines to the elements of a pair of vectors.

Purpose:

CLARTV applies a vector of complex plane rotations with real cosines
to elements of the complex vectors x and y. For i = 1,2,...,n

( x(i) ) := (	    c(i)   s(i) ) ( x(i) )
( y(i) )    ( -conjg(s(i))  c(i) ) ( y(i) )

Parameters:
N

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

X

X is COMPLEX array, dimension (1+(N-1)*INCX)
The vector x.

INCX

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

Y

Y is COMPLEX array, dimension (1+(N-1)*INCY)
The vector y.

INCY

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

C

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

S

S is COMPLEX array, dimension (1+(N-1)*INCC)
The sines of the plane rotations.

INCC

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

Author:
Univ. of Tennessee

Univ. of California Berkeley

NAG Ltd.

Date:
September 2012

Definition at line 108 of file clartv.f.

Author
Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.2							  Tue Sep 25 2012						       clartv.f(3)```
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