rotm3
Rotm: apply modified (fast) plane rotation
Usage
Functions
SROTM
Detailed Description
Function Documentation
subroutine drotm (integer n, double precision, dimension(*) dx, integer incx, double precision, dimension(*) dy, integer incy, double precision, dimension(5) dparam)
DROTM
Purpose:
!>
!> APPLY THE MODIFIED GIVENS TRANSFORMATION, H, TO THE 2 BY N MATRIX
!>
!> (DX**T) , WHERE **T INDICATES TRANSPOSE. THE ELEMENTS OF DX ARE IN
!> (DY**T)
!>
!> DX(LX+I*INCX), I = 0 TO N-1, WHERE LX = 1 IF INCX .GE. 0, ELSE
!> LX = (-INCX)*N, AND SIMILARLY FOR SY USING LY AND INCY.
!> WITH DPARAM(1)=DFLAG, H HAS ONE OF THE FOLLOWING FORMS..
!>
!> DFLAG=-1.D0 DFLAG=0.D0 DFLAG=1.D0 DFLAG=-2.D0
!>
!> (DH11 DH12) (1.D0 DH12) (DH11 1.D0) (1.D0 0.D0)
!> H=( ) ( ) ( ) ( )
!> (DH21 DH22), (DH21 1.D0), (-1.D0 DH22), (0.D0 1.D0).
!> SEE DROTMG FOR A DESCRIPTION OF DATA STORAGE IN DPARAM.
!>
Parameters
N
!> 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 !>
DPARAM
!> DPARAM is DOUBLE PRECISION array, dimension (5) !> DPARAM(1)=DFLAG !> DPARAM(2)=DH11 !> DPARAM(3)=DH21 !> DPARAM(4)=DH12 !> DPARAM(5)=DH22 !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 95 of file drotm.f.
subroutine srotm (integer n, real, dimension(*) sx, integer incx, real, dimension(*) sy, integer incy, real, dimension(5) sparam)
SROTM
Purpose:
!>
!> APPLY THE MODIFIED GIVENS TRANSFORMATION, H, TO THE 2 BY N MATRIX
!>
!> (SX**T) , WHERE **T INDICATES TRANSPOSE. THE ELEMENTS OF SX ARE IN
!> (SX**T)
!>
!> SX(LX+I*INCX), I = 0 TO N-1, WHERE LX = 1 IF INCX .GE. 0, ELSE
!> LX = (-INCX)*N, AND SIMILARLY FOR SY USING USING LY AND INCY.
!> WITH SPARAM(1)=SFLAG, H HAS ONE OF THE FOLLOWING FORMS..
!>
!> SFLAG=-1.E0 SFLAG=0.E0 SFLAG=1.E0 SFLAG=-2.E0
!>
!> (SH11 SH12) (1.E0 SH12) (SH11 1.E0) (1.E0 0.E0)
!> H=( ) ( ) ( ) ( )
!> (SH21 SH22), (SH21 1.E0), (-1.E0 SH22), (0.E0 1.E0).
!> SEE SROTMG FOR A DESCRIPTION OF DATA STORAGE IN SPARAM.
!>
!>
Parameters
N
!> 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 !>
SPARAM
!> SPARAM is REAL array, dimension (5) !> SPARAM(1)=SFLAG !> SPARAM(2)=SH11 !> SPARAM(3)=SH21 !> SPARAM(4)=SH12 !> SPARAM(5)=SH22 !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 96 of file srotm.f.
History
- Arch Linux 2026-11-01: the text shown here
- Debian 13 (Trixie)