Provided by: liblapack-doc_3.12.1-2_all 
NAME
lartv - lartv: apply vector of plane rotations to vectors
SYNOPSIS
Functions
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.
subroutine dlartv (n, x, incx, y, incy, c, s, incc)
DLARTV applies a vector of plane rotations with real cosines and real sines to the elements of a pair
of vectors.
subroutine slartv (n, x, incx, y, incy, c, s, incc)
SLARTV applies a vector of plane rotations with real cosines and real sines to the elements of a pair
of vectors.
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.
Detailed Description
Function Documentation
subroutine clartv (integer n, complex, dimension( * ) x, integer incx, complex, dimension( * ) y, integer
incy, real, dimension( * ) c, complex, dimension( * ) s, integer incc)
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
Univ. of Colorado Denver
NAG Ltd.
subroutine dlartv (integer n, double precision, dimension( * ) x, integer incx, double precision, dimension(
* ) y, integer incy, double precision, dimension( * ) c, double precision, dimension( * ) s, integer
incc)
DLARTV applies a vector of plane rotations with real cosines and real sines to the elements of a pair of
vectors.
Purpose:
DLARTV applies a vector of real plane rotations to elements of the
real vectors x and y. For i = 1,2,...,n
( x(i) ) := ( c(i) s(i) ) ( x(i) )
( y(i) ) ( -s(i) c(i) ) ( y(i) )
Parameters
N
N is INTEGER
The number of plane rotations to be applied.
X
X is DOUBLE PRECISION array,
dimension (1+(N-1)*INCX)
The vector x.
INCX
INCX is INTEGER
The increment between elements of X. INCX > 0.
Y
Y is DOUBLE PRECISION 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 DOUBLE PRECISION 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
Univ. of Colorado Denver
NAG Ltd.
subroutine slartv (integer n, real, dimension( * ) x, integer incx, real, dimension( * ) y, integer incy,
real, dimension( * ) c, real, dimension( * ) s, integer incc)
SLARTV applies a vector of plane rotations with real cosines and real sines to the elements of a pair of
vectors.
Purpose:
SLARTV applies a vector of real plane rotations to elements of the
real vectors x and y. For i = 1,2,...,n
( x(i) ) := ( c(i) s(i) ) ( x(i) )
( y(i) ) ( -s(i) c(i) ) ( y(i) )
Parameters
N
N is INTEGER
The number of plane rotations to be applied.
X
X is REAL array,
dimension (1+(N-1)*INCX)
The vector x.
INCX
INCX is INTEGER
The increment between elements of X. INCX > 0.
Y
Y is REAL 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 REAL 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
Univ. of Colorado Denver
NAG Ltd.
subroutine zlartv (integer n, complex*16, dimension( * ) x, integer incx, complex*16, dimension( * ) y,
integer incy, double precision, dimension( * ) c, complex*16, dimension( * ) s, integer incc)
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
Univ. of Colorado Denver
NAG Ltd.
Author
Generated automatically by Doxygen for LAPACK from the source code.
Version 3.12.0 Tue Jan 28 2025 00:54:31 lartv(3)