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la_lapack::orgbr Interface Reference

ORGBR: generates one of the real orthogonal matrices Q or P**T determined by DGEBRD when reducing a real matrix A to bidiagonal form: A = Q * B * P**T. Q and P**T are defined as products of elementary reflectors H(i) or G(i) respectively. If VECT = 'Q', A is assumed to have been an M-by-K matrix, and Q is of order M: if m >= k, Q = H(1) H(2) . . . H(k) and ORGBR returns the first n columns of Q, where m >= n >= k; if m < k, Q = H(1) H(2) . . . H(m-1) and ORGBR returns Q as an M-by-M matrix. If VECT = 'P', A is assumed to have been a K-by-N matrix, and P**T is of order N: if k < n, P**T = G(k) . . . G(2) G(1) and ORGBR returns the first m rows of P**T, where n >= m >= k; if k >= n, P**T = G(n-1) . . . G(2) G(1) and ORGBR returns P**T as an N-by-N matrix. More...

Public Member Functions

pure subroutine dorgbr (vect, m, n, k, a, lda, tau, work, lwork, info)
 
 la_dorgbr
 
 la_qorgbr
 
pure subroutine sorgbr (vect, m, n, k, a, lda, tau, work, lwork, info)
 
 la_sorgbr
 

Detailed Description

ORGBR: generates one of the real orthogonal matrices Q or P**T determined by DGEBRD when reducing a real matrix A to bidiagonal form: A = Q * B * P**T. Q and P**T are defined as products of elementary reflectors H(i) or G(i) respectively. If VECT = 'Q', A is assumed to have been an M-by-K matrix, and Q is of order M: if m >= k, Q = H(1) H(2) . . . H(k) and ORGBR returns the first n columns of Q, where m >= n >= k; if m < k, Q = H(1) H(2) . . . H(m-1) and ORGBR returns Q as an M-by-M matrix. If VECT = 'P', A is assumed to have been a K-by-N matrix, and P**T is of order N: if k < n, P**T = G(k) . . . G(2) G(1) and ORGBR returns the first m rows of P**T, where n >= m >= k; if k >= n, P**T = G(n-1) . . . G(2) G(1) and ORGBR returns P**T as an N-by-N matrix.

Member Function/Subroutine Documentation

◆ dorgbr()

pure subroutine la_lapack::orgbr::dorgbr ( character, intent(in) vect,
integer(ilp), intent(in) m,
integer(ilp), intent(in) n,
integer(ilp), intent(in) k,
real(dp), dimension(lda,*), intent(inout) a,
integer(ilp), intent(in) lda,
real(dp), dimension(*), intent(in) tau,
real(dp), dimension(*), intent(out) work,
integer(ilp), intent(in) lwork,
integer(ilp), intent(out) info )

◆ la_dorgbr()

la_lapack::orgbr::la_dorgbr

◆ la_qorgbr()

la_lapack::orgbr::la_qorgbr

◆ la_sorgbr()

la_lapack::orgbr::la_sorgbr

◆ sorgbr()

pure subroutine la_lapack::orgbr::sorgbr ( character, intent(in) vect,
integer(ilp), intent(in) m,
integer(ilp), intent(in) n,
integer(ilp), intent(in) k,
real(sp), dimension(lda,*), intent(inout) a,
integer(ilp), intent(in) lda,
real(sp), dimension(*), intent(in) tau,
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: