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

```zrot.f(3)							      LAPACK								 zrot.f(3)

NAME
zrot.f -

SYNOPSIS
Functions/Subroutines
subroutine zrot (N, CX, INCX, CY, INCY, C, S)
ZROT applies a plane rotation with real cosine and complex sine to a pair of complex vectors.

Function/Subroutine Documentation
subroutine zrot (integerN, complex*16, dimension( * )CX, integerINCX, complex*16, dimension( * )CY, integerINCY, double precisionC,
complex*16S)
ZROT applies a plane rotation with real cosine and complex sine to a pair of complex vectors.

Purpose:

ZROT   applies a plane rotation, where the cos (C) is real and the
sin (S) is complex, and the vectors CX and CY are complex.

Parameters:
N

N is INTEGER
The number of elements in the vectors CX and CY.

CX

CX is COMPLEX*16 array, dimension (N)
On input, the vector X.
On output, CX is overwritten with C*X + S*Y.

INCX

INCX is INTEGER
The increment between successive values of CY.  INCX <> 0.

CY

CY is COMPLEX*16 array, dimension (N)
On input, the vector Y.
On output, CY is overwritten with -CONJG(S)*X + C*Y.

INCY

INCY is INTEGER
The increment between successive values of CY.  INCX <> 0.

C

C is DOUBLE PRECISION

S

S is COMPLEX*16
C and S define a rotation
[  C	      S  ]
[ -conjg(S)   C  ]
where C*C + S*CONJG(S) = 1.0.

Author:
Univ. of Tennessee

Univ. of California Berkeley

NAG Ltd.

Date:
September 2012

Definition at line 104 of file zrot.f.

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

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

## Check Out this Related Man Page

```zlartv.f(3)							      LAPACK							       zlartv.f(3)

NAME
zlartv.f -

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

Function/Subroutine Documentation
subroutine zlartv (integerN, complex*16, dimension( * )X, integerINCX, complex*16, dimension( * )Y, integerINCY, double precision, dimension( *
)C, complex*16, dimension( * )S, integerINCC)
ZLARTV applies a vector of plane rotations with real cosines and complex sines to the elements of a pair of vectors.

Purpose:

ZLARTV 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*16 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*16 array, dimension (1+(N-1)*INCY)
The vector y.

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.

S

S is COMPLEX*16 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 zlartv.f.

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

Version 3.4.2							  Tue Sep 25 2012						       zlartv.f(3)```
Man Page