ORBDB4: simultaneously bidiagonalizes the blocks of a tall and skinny matrix X with orthonomal columns: [ B11 ] [ X11 ] [ P1 | ] [ 0 ] [--—] = [------—] [--—] Q1**T . [ X21 ] [ | P2 ] [ B21 ] [ 0 ] X11 is P-by-Q, and X21 is (M-P)-by-Q. M-Q must be no larger than P, M-P, or Q. Routines DORBDB1, DORBDB2, and DORBDB3 handle cases in which M-Q is not the minimum dimension. The orthogonal matrices P1, P2, and Q1 are P-by-P, (M-P)-by-(M-P), and (M-Q)-by-(M-Q), respectively. They are represented implicitly by Householder vectors. B11 and B12 are (M-Q)-by-(M-Q) bidiagonal matrices represented implicitly by angles THETA, PHI. More...

Public Member Functions
subroutine	dorbdb4 (m, p, q, x11, ldx11, x21, ldx21, theta, phi, taup1, taup2, tauq1, phantom, work, lwork, info)

	la_dorbdb4

	la_qorbdb4

subroutine	sorbdb4 (m, p, q, x11, ldx11, x21, ldx21, theta, phi, taup1, taup2, tauq1, phantom, work, lwork, info)

	la_sorbdb4

Detailed Description

ORBDB4: simultaneously bidiagonalizes the blocks of a tall and skinny matrix X with orthonomal columns: [ B11 ] [ X11 ] [ P1 | ] [ 0 ] [--—] = [------—] [--—] Q1**T . [ X21 ] [ | P2 ] [ B21 ] [ 0 ] X11 is P-by-Q, and X21 is (M-P)-by-Q. M-Q must be no larger than P, M-P, or Q. Routines DORBDB1, DORBDB2, and DORBDB3 handle cases in which M-Q is not the minimum dimension. The orthogonal matrices P1, P2, and Q1 are P-by-P, (M-P)-by-(M-P), and (M-Q)-by-(M-Q), respectively. They are represented implicitly by Householder vectors. B11 and B12 are (M-Q)-by-(M-Q) bidiagonal matrices represented implicitly by angles THETA, PHI.

Member Function/Subroutine Documentation

◆ dorbdb4()

subroutine la_lapack::orbdb4::dorbdb4	(	integer(ilp), intent(in)	m,
		integer(ilp), intent(in)	p,
		integer(ilp), intent(in)	q,
		real(dp), dimension(ldx11,*), intent(inout)	x11,
		integer(ilp), intent(in)	ldx11,
		real(dp), dimension(ldx21,*), intent(inout)	x21,
		integer(ilp), intent(in)	ldx21,
		real(dp), dimension(*), intent(out)	theta,
		real(dp), dimension(*), intent(out)	phi,
		real(dp), dimension(*), intent(out)	taup1,
		real(dp), dimension(*), intent(out)	taup2,
		real(dp), dimension(*), intent(out)	tauq1,
		real(dp), dimension(*), intent(out)	phantom,
		real(dp), dimension(*), intent(out)	work,
		integer(ilp), intent(in)	lwork,
		integer(ilp), intent(out)	info
	)

◆ la_dorbdb4()

la_lapack::orbdb4::la_dorbdb4

◆ la_qorbdb4()

la_lapack::orbdb4::la_qorbdb4

◆ la_sorbdb4()

la_lapack::orbdb4::la_sorbdb4

◆ sorbdb4()

subroutine la_lapack::orbdb4::sorbdb4	(	integer(ilp), intent(in)	m,
		integer(ilp), intent(in)	p,
		integer(ilp), intent(in)	q,
		real(sp), dimension(ldx11,*), intent(inout)	x11,
		integer(ilp), intent(in)	ldx11,
		real(sp), dimension(ldx21,*), intent(inout)	x21,
		integer(ilp), intent(in)	ldx21,
		real(sp), dimension(*), intent(out)	theta,
		real(sp), dimension(*), intent(out)	phi,
		real(sp), dimension(*), intent(out)	taup1,
		real(sp), dimension(*), intent(out)	taup2,
		real(sp), dimension(*), intent(out)	tauq1,
		real(sp), dimension(*), intent(out)	phantom,
		real(sp), dimension(*), intent(out)	work,
		integer(ilp), intent(in)	lwork,
		integer(ilp), intent(out)	info
	)

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

la_lapack.f90