Scroll to navigation

rotmg(3) Library Functions Manual rotmg(3)

NAME

rotmg - rotmg: generate modified (fast) plane rotation

SYNOPSIS

Functions


subroutine DROTMG (dd1, dd2, dx1, dy1, dparam)
DROTMG subroutine SROTMG (sd1, sd2, sx1, sy1, sparam)
SROTMG

Detailed Description

Function Documentation

subroutine DROTMG (double precision dd1, double precision dd2, double precision dx1, double precision dy1, double precision, dimension(5) dparam)

DROTMG

Purpose:

!>
!>    CONSTRUCT THE MODIFIED GIVENS TRANSFORMATION MATRIX H WHICH ZEROS
!>    THE SECOND COMPONENT OF THE 2-VECTOR  (DSQRT(DD1)*DX1,DSQRT(DD2)*>    DY2)**T.
!>    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).
!>    LOCATIONS 2-4 OF DPARAM CONTAIN DH11, DH21, DH12, AND DH22
!>    RESPECTIVELY. (VALUES OF 1.D0, -1.D0, OR 0.D0 IMPLIED BY THE
!>    VALUE OF DPARAM(1) ARE NOT STORED IN DPARAM.)
!>
!>    THE VALUES OF GAMSQ AND RGAMSQ SET IN THE DATA STATEMENT MAY BE
!>    INEXACT.  THIS IS OK AS THEY ARE ONLY USED FOR TESTING THE SIZE
!>    OF DD1 AND DD2.  ALL ACTUAL SCALING OF DATA IS DONE USING GAM.
!>
!> 

Parameters

DD1

!>          DD1 is DOUBLE PRECISION
!> 

DD2

!>          DD2 is DOUBLE PRECISION
!> 

DX1

!>          DX1 is DOUBLE PRECISION
!> 

DY1

!>          DY1 is DOUBLE PRECISION
!> 

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 89 of file drotmg.f.

subroutine SROTMG (real sd1, real sd2, real sx1, real sy1, real, dimension(5) sparam)

SROTMG

Purpose:

!>
!>    CONSTRUCT THE MODIFIED GIVENS TRANSFORMATION MATRIX H WHICH ZEROS
!>    THE SECOND COMPONENT OF THE 2-VECTOR  (SQRT(SD1)*SX1,SQRT(SD2)*>    SY2)**T.
!>    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).
!>    LOCATIONS 2-4 OF SPARAM CONTAIN SH11,SH21,SH12, AND SH22
!>    RESPECTIVELY. (VALUES OF 1.E0, -1.E0, OR 0.E0 IMPLIED BY THE
!>    VALUE OF SPARAM(1) ARE NOT STORED IN SPARAM.)
!>
!>    THE VALUES OF GAMSQ AND RGAMSQ SET IN THE DATA STATEMENT MAY BE
!>    INEXACT.  THIS IS OK AS THEY ARE ONLY USED FOR TESTING THE SIZE
!>    OF SD1 AND SD2.  ALL ACTUAL SCALING OF DATA IS DONE USING GAM.
!>
!> 

Parameters

SD1

!>          SD1 is REAL
!> 

SD2

!>          SD2 is REAL
!> 

SX1

!>          SX1 is REAL
!> 

SY1

!>          SY1 is REAL
!> 

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 89 of file srotmg.f.

Author

Generated automatically by Doxygen for LAPACK from the source code.

Version 3.12.0 LAPACK