rotm(3)                    Library Functions Manual                    rotm(3)

NAME
       rotm - rotm: apply modified (fast) plane rotation

SYNOPSIS
   Functions
       subroutine drotm (n, dx, incx, dy, incy, dparam)
           DROTM
       subroutine srotm (n, sx, incx, sy, incy, sparam)
           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.

Author
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LAPACK                          Version 3.12.0                         rotm(3)