ORBDB1: 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. Q must be no larger than P, M-P, or M-Q. Routines DORBDB2, DORBDB3, and DORBDB4 handle cases in which 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 Q-by-Q bidiagonal matrices represented implicitly by angles THETA, PHI.
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| subroutine | dorbdb1 (m, p, q, x11, ldx11, x21, ldx21, theta, phi, taup1, taup2, tauq1, work, lwork, info) |
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| | la_dorbdb1 |
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| | la_qorbdb1 |
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| subroutine | sorbdb1 (m, p, q, x11, ldx11, x21, ldx21, theta, phi, taup1, taup2, tauq1, work, lwork, info) |
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| | la_sorbdb1 |
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ORBDB1: 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. Q must be no larger than P, M-P, or M-Q. Routines DORBDB2, DORBDB3, and DORBDB4 handle cases in which 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 Q-by-Q bidiagonal matrices represented implicitly by angles THETA, PHI.
◆ dorbdb1()
| subroutine la_lapack::orbdb1::dorbdb1 |
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integer(ilp), intent(in) |
m, |
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integer(ilp), intent(in) |
p, |
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integer(ilp), intent(in) |
q, |
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real(dp), dimension(ldx11,*), intent(inout) |
x11, |
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integer(ilp), intent(in) |
ldx11, |
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real(dp), dimension(ldx21,*), intent(inout) |
x21, |
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integer(ilp), intent(in) |
ldx21, |
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real(dp), dimension(*), intent(out) |
theta, |
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real(dp), dimension(*), intent(out) |
phi, |
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real(dp), dimension(*), intent(out) |
taup1, |
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real(dp), dimension(*), intent(out) |
taup2, |
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real(dp), dimension(*), intent(out) |
tauq1, |
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real(dp), dimension(*), intent(out) |
work, |
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integer(ilp), intent(in) |
lwork, |
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integer(ilp), intent(out) |
info |
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◆ la_dorbdb1()
| la_lapack::orbdb1::la_dorbdb1 |
◆ la_qorbdb1()
| la_lapack::orbdb1::la_qorbdb1 |
◆ la_sorbdb1()
| la_lapack::orbdb1::la_sorbdb1 |
◆ sorbdb1()
| subroutine la_lapack::orbdb1::sorbdb1 |
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integer(ilp), intent(in) |
m, |
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integer(ilp), intent(in) |
p, |
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integer(ilp), intent(in) |
q, |
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real(sp), dimension(ldx11,*), intent(inout) |
x11, |
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integer(ilp), intent(in) |
ldx11, |
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real(sp), dimension(ldx21,*), intent(inout) |
x21, |
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integer(ilp), intent(in) |
ldx21, |
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real(sp), dimension(*), intent(out) |
theta, |
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real(sp), dimension(*), intent(out) |
phi, |
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real(sp), dimension(*), intent(out) |
taup1, |
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real(sp), dimension(*), intent(out) |
taup2, |
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real(sp), dimension(*), intent(out) |
tauq1, |
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real(sp), dimension(*), intent(out) |
work, |
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integer(ilp), intent(in) |
lwork, |
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integer(ilp), intent(out) |
info |
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The documentation for this interface was generated from the following file:
1.9.8