carta
rotm(3)

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)

Author

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