| lartv(3) | LAPACK | lartv(3) |
lartv - lartv: apply vector of plane rotations to vectors
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.
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 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 California Berkeley
Univ. of Colorado Denver
NAG Ltd.
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 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 California Berkeley
Univ. of Colorado Denver
NAG Ltd.
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 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 California Berkeley
Univ. of Colorado Denver
NAG Ltd.
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 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 California Berkeley
Univ. of Colorado Denver
NAG Ltd.
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| Thu Aug 7 2025 17:26:25 | Version 3.12.0 |