ORBDB3: 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-P must be no larger than P, Q, or M-Q. Routines DORBDB1, DORBDB2, and DORBDB4 handle cases in which M-P 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-P)-by-(M-P) bidiagonal matrices represented implicitly by angles THETA, PHI.
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| subroutine | dorbdb3 (m, p, q, x11, ldx11, x21, ldx21, theta, phi, taup1, taup2, tauq1, work, lwork, info) |
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| | la_dorbdb3 |
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| | la_qorbdb3 |
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| subroutine | sorbdb3 (m, p, q, x11, ldx11, x21, ldx21, theta, phi, taup1, taup2, tauq1, work, lwork, info) |
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| | la_sorbdb3 |
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ORBDB3: 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-P must be no larger than P, Q, or M-Q. Routines DORBDB1, DORBDB2, and DORBDB4 handle cases in which M-P 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-P)-by-(M-P) bidiagonal matrices represented implicitly by angles THETA, PHI.
◆ dorbdb3()
| subroutine la_lapack::orbdb3::dorbdb3 |
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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 ) |
◆ la_dorbdb3()
| la_lapack::orbdb3::la_dorbdb3 |
◆ la_qorbdb3()
| la_lapack::orbdb3::la_qorbdb3 |
◆ la_sorbdb3()
| la_lapack::orbdb3::la_sorbdb3 |
◆ sorbdb3()
| subroutine la_lapack::orbdb3::sorbdb3 |
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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 ) |
The documentation for this interface was generated from the following file:
