table of contents
| rot(3) | Library Functions Manual | rot(3) |
NAME¶
rot - rot: apply plane rotation ([cz]rot in LAPACK)
SYNOPSIS¶
Functions¶
subroutine CSROT (n, cx, incx, cy, incy, c, s)
CSROT subroutine DROT (n, dx, incx, dy, incy, c, s)
DROT subroutine SROT (n, sx, incx, sy, incy, c, s)
SROT subroutine ZDROT (n, zx, incx, zy, incy, c, s)
ZDROT subroutine CROT (n, cx, incx, cy, incy, c, s)
CROT applies a plane rotation with real cosine and complex sine to a
pair of complex vectors. 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.
Detailed Description¶
Function Documentation¶
subroutine CROT (integer n, complex, dimension( * ) cx, integer incx, complex, dimension( * ) cy, integer incy, real c, complex s)¶
CROT applies a plane rotation with real cosine and complex sine to a pair of complex vectors.
Purpose:
!> !> CROT 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 is INTEGER !> The number of elements in the vectors CX and CY. !>
CX
!> CX is COMPLEX 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 CX. INCX <> 0. !>
CY
!> CY is COMPLEX 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 REAL !>
S
!> S is COMPLEX !> C and S define a rotation !> [ C S ] !> [ -conjg(S) C ] !> where C*C + S*CONJG(S) = 1.0. !>
Author
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 102 of file crot.f.
subroutine CSROT (integer n, complex, dimension( * ) cx, integer incx, complex, dimension( * ) cy, integer incy, real c, real s)¶
CSROT
Purpose:
!> !> CSROT applies a plane rotation, where the cos and sin (c and s) are real !> and the vectors cx and cy are complex. !> jack dongarra, linpack, 3/11/78. !>
Parameters
!> N is INTEGER !> On entry, N specifies the order of the vectors cx and cy. !> N must be at least zero. !>
CX
!> CX is COMPLEX array, dimension at least !> ( 1 + ( N - 1 )*abs( INCX ) ). !> Before entry, the incremented array CX must contain the n !> element vector cx. On exit, CX is overwritten by the updated !> vector cx. !>
INCX
!> INCX is INTEGER !> On entry, INCX specifies the increment for the elements of !> CX. INCX must not be zero. !>
CY
!> CY is COMPLEX array, dimension at least !> ( 1 + ( N - 1 )*abs( INCY ) ). !> Before entry, the incremented array CY must contain the n !> element vector cy. On exit, CY is overwritten by the updated !> vector cy. !>
INCY
!> INCY is INTEGER !> On entry, INCY specifies the increment for the elements of !> CY. INCY must not be zero. !>
C
!> C is REAL !> On entry, C specifies the cosine, cos. !>
S
!> S is REAL !> On entry, S specifies the sine, sin. !>
Author
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 97 of file csrot.f.
subroutine DROT (integer n, double precision, dimension(*) dx, integer incx, double precision, dimension(*) dy, integer incy, double precision c, double precision s)¶
DROT
Purpose:
!> !> DROT applies a plane rotation. !>
Parameters
!> N is INTEGER !> number of elements in input vector(s) !>
DX
!> DX is DOUBLE PRECISION array, dimension ( 1 + ( N - 1 )*abs( INCX ) ) !>
INCX
!> INCX is INTEGER !> storage spacing between elements of DX !>
DY
!> DY is DOUBLE PRECISION array, dimension ( 1 + ( N - 1 )*abs( INCY ) ) !>
INCY
!> INCY is INTEGER !> storage spacing between elements of DY !>
C
!> C is DOUBLE PRECISION !>
S
!> S is DOUBLE PRECISION !>
Author
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Further Details:
!> !> jack dongarra, linpack, 3/11/78. !> modified 12/3/93, array(1) declarations changed to array(*) !>
Definition at line 91 of file drot.f.
subroutine SROT (integer n, real, dimension(*) sx, integer incx, real, dimension(*) sy, integer incy, real c, real s)¶
SROT
Purpose:
!> !> applies a plane rotation. !>
Parameters
!> N is INTEGER !> number of elements in input vector(s) !>
SX
!> SX is REAL array, dimension ( 1 + ( N - 1 )*abs( INCX ) ) !>
INCX
!> INCX is INTEGER !> storage spacing between elements of SX !>
SY
!> SY is REAL array, dimension ( 1 + ( N - 1 )*abs( INCY ) ) !>
INCY
!> INCY is INTEGER !> storage spacing between elements of SY !>
C
!> C is REAL !>
S
!> S is REAL !>
Author
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Further Details:
!> !> jack dongarra, linpack, 3/11/78. !> modified 12/3/93, array(1) declarations changed to array(*) !>
Definition at line 91 of file srot.f.
subroutine ZDROT (integer n, complex*16, dimension( * ) zx, integer incx, complex*16, dimension( * ) zy, integer incy, double precision c, double precision s)¶
ZDROT
Purpose:
!> !> Applies a plane rotation, where the cos and sin (c and s) are real !> and the vectors cx and cy are complex. !> jack dongarra, linpack, 3/11/78. !>
Parameters
!> N is INTEGER !> On entry, N specifies the order of the vectors cx and cy. !> N must be at least zero. !>
ZX
!> ZX is COMPLEX*16 array, dimension at least !> ( 1 + ( N - 1 )*abs( INCX ) ). !> Before entry, the incremented array ZX must contain the n !> element vector cx. On exit, ZX is overwritten by the updated !> vector cx. !>
INCX
!> INCX is INTEGER !> On entry, INCX specifies the increment for the elements of !> ZX. INCX must not be zero. !>
ZY
!> ZY is COMPLEX*16 array, dimension at least !> ( 1 + ( N - 1 )*abs( INCY ) ). !> Before entry, the incremented array ZY must contain the n !> element vector cy. On exit, ZY is overwritten by the updated !> vector cy. !>
INCY
!> INCY is INTEGER !> On entry, INCY specifies the increment for the elements of !> ZY. INCY must not be zero. !>
C
!> C is DOUBLE PRECISION !> On entry, C specifies the cosine, cos. !>
S
!> S is DOUBLE PRECISION !> On entry, S specifies the sine, sin. !>
Author
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 97 of file zdrot.f.
subroutine ZROT (integer n, complex*16, dimension( * ) cx, integer incx, complex*16, dimension( * ) cy, integer incy, double precision c, complex*16 s)¶
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 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 CX. 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 California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 102 of file zrot.f.
Author¶
Generated automatically by Doxygen for LAPACK from the source code.
| Version 3.12.0 | LAPACK |