Provided by: liblapack-doc_3.12.1-6build1_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
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Version 3.12.0 Thu Aug 28 2025 19:20:45 lartv(3)