la_lapack::larfg Interface Reference

LARFG: generates a complex elementary reflector H of order n, such that H**H * ( alpha ) = ( beta ), H**H * H = I. ( x ) ( 0 ) where alpha and beta are scalars, with beta real, and x is an (n-1)-element complex vector. H is represented in the form H = I - tau * ( 1 ) * ( 1 v**H ) , ( v ) where tau is a complex scalar and v is a complex (n-1)-element vector. Note that H is not hermitian. If the elements of x are all zero and alpha is real, then tau = 0 and H is taken to be the unit matrix. Otherwise 1 <= real(tau) <= 2 and abs(tau-1) <= 1 . More...

Public Member Functions
pure subroutine	clarfg (n, alpha, x, incx, tau)
	la_clarfg
pure subroutine	dlarfg (n, alpha, x, incx, tau)
	la_dlarfg
	la_qlarfg
pure subroutine	slarfg (n, alpha, x, incx, tau)
	la_slarfg
	la_wlarfg
pure subroutine	zlarfg (n, alpha, x, incx, tau)
	la_zlarfg

Detailed Description

LARFG: generates a complex elementary reflector H of order n, such that H**H * ( alpha ) = ( beta ), H**H * H = I. ( x ) ( 0 ) where alpha and beta are scalars, with beta real, and x is an (n-1)-element complex vector. H is represented in the form H = I - tau * ( 1 ) * ( 1 v**H ) , ( v ) where tau is a complex scalar and v is a complex (n-1)-element vector. Note that H is not hermitian. If the elements of x are all zero and alpha is real, then tau = 0 and H is taken to be the unit matrix. Otherwise 1 <= real(tau) <= 2 and abs(tau-1) <= 1 .

Member Function/Subroutine Documentation

clarfg()

pure subroutine la_lapack::larfg::clarfg	(	integer(ilp), intent(in)	n,
		complex(sp), intent(inout)	alpha,
		complex(sp), dimension(*), intent(inout)	x,
		integer(ilp), intent(in)	incx,
		complex(sp), intent(out)	tau
	)

dlarfg()

pure subroutine la_lapack::larfg::dlarfg	(	integer(ilp), intent(in)	n,
		real(dp), intent(inout)	alpha,
		real(dp), dimension(*), intent(inout)	x,
		integer(ilp), intent(in)	incx,
		real(dp), intent(out)	tau
	)

la_clarfg()

la_lapack::larfg::la_clarfg

la_dlarfg()

la_lapack::larfg::la_dlarfg

la_qlarfg()

la_lapack::larfg::la_qlarfg

la_slarfg()

la_lapack::larfg::la_slarfg

la_wlarfg()

la_lapack::larfg::la_wlarfg

la_zlarfg()

la_lapack::larfg::la_zlarfg

slarfg()

pure subroutine la_lapack::larfg::slarfg	(	integer(ilp), intent(in)	n,
		real(sp), intent(inout)	alpha,
		real(sp), dimension(*), intent(inout)	x,
		integer(ilp), intent(in)	incx,
		real(sp), intent(out)	tau
	)

zlarfg()

pure subroutine la_lapack::larfg::zlarfg	(	integer(ilp), intent(in)	n,
		complex(dp), intent(inout)	alpha,
		complex(dp), dimension(*), intent(inout)	x,
		integer(ilp), intent(in)	incx,
		complex(dp), intent(out)	tau
	)

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The documentation for this interface was generated from the following file:

• la_lapack.f90