?rotm

Performs modified Givens rotation of points in the plane.

Syntax

FORTRAN 77:

call srotm(n, x, incx, y, incy, param)

call drotm(n, x, incx, y, incy, param)

Fortran 95:

call rotm(x, y, param)

Include Files

The FORTRAN 77 interfaces are specified in the mkl_blas.fi include file, the Fortran 95 interfaces are specified in the blas.f90 include file, and the C interfaces are specified in the mkl_blas.h include file.

Description

Given two vectors x and y, each vector element of these vectors is replaced as follows:


Equation

for i=1 to n, where H is a modified Givens transformation matrix whose values are stored in the param(2) through param(5) array. See discussion on the param argument.

Input Parameters

n

INTEGER. Specifies the number of elements in vectors x and y.

x

REAL for srotm

DOUBLE PRECISION for drotm

Array, DIMENSION at least (1 + (n -1)*abs(incx)).

incx

INTEGER. Specifies the increment for the elements of x.

y

REAL for srotm

DOUBLE PRECISION for drotm

Array, DIMENSION at least (1 + (n -1)*abs(incy)).

incy

INTEGER. Specifies the increment for the elements of y.

param

REAL for srotm

DOUBLE PRECISION for drotm

Array, DIMENSION 5.

The elements of the param array are:

param(1) contains a switch, flag. param(2-5) contain h11, h21, h12, and h22, respectively, the components of the array H.

Depending on the values of flag, the components of H are set as follows:


Equation


Equation


Equation


Equation

In the last three cases, the matrix entries of 1., -1., and 0. are assumed based on the value of flag and are not required to be set in the param vector.

Output Parameters

x

Each element x(i) is replaced by h11*x(i) + h12*y(i).

y

Each element y(i) is replaced by h21*x(i) + h22*y(i).

Fortran 95 Interface Notes

Routines in Fortran 95 interface have fewer arguments in the calling sequence than their FORTRAN 77 counterparts. For general conventions applied to skip redundant or reconstructible arguments, see Fortran 95 Interface Conventions.

Specific details for the routine rotm interface are the following:

x

Holds the vector with the number of elements n.

y

Holds the vector with the number of elements n.


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