Man page - rotm(3)

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Manual

rotm

NAME
SYNOPSIS
Functions
Detailed Description
Function Documentation
subroutine drotm (integer n, double precision, dimension(*) dx, integerincx, double precision, dimension(*) dy, integer incy, doubleprecision, dimension(5) dparam)
subroutine srotm (integer n, real, dimension(*) sx, integer incx, real,dimension(*) sy, integer incy, real, dimension(5) sparam)
Author

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, integerincx, double precision, dimension(*) dy, integer incy, doubleprecision, 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.

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.

Author

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