table of contents
| lartv(3) | Library Functions Manual | lartv(3) |
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 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.
Definition at line 106 of file clartv.f.
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 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.
Definition at line 107 of file dlartv.f.
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 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.
Definition at line 107 of file slartv.f.
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 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.
Definition at line 106 of file zlartv.f.
Author¶
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