!>
!> DGELQT computes a blocked LQ factorization of a real M-by-N matrix A
!> using the compact WY representation of Q.
!> 

M

!>          M is INTEGER
!>          The number of rows of the matrix A.  M >= 0.
!> 

N

!>          N is INTEGER
!>          The number of columns of the matrix A.  N >= 0.
!> 

MB

!>          MB is INTEGER
!>          The block size to be used in the blocked QR.  MIN(M,N) >= MB >= 1.
!> 

A

!>          A is DOUBLE PRECISION array, dimension (LDA,N)
!>          On entry, the M-by-N matrix A.
!>          On exit, the elements on and below the diagonal of the array
!>          contain the M-by-MIN(M,N) lower trapezoidal matrix L (L is
!>          lower triangular if M <= N); the elements above the diagonal
!>          are the rows of V.
!> 

LDA

!>          LDA is INTEGER
!>          The leading dimension of the array A.  LDA >= max(1,M).
!> 

T

!>          T is DOUBLE PRECISION array, dimension (LDT,MIN(M,N))
!>          The upper triangular block reflectors stored in compact form
!>          as a sequence of upper triangular blocks.  See below
!>          for further details.
!> 

LDT

!>          LDT is INTEGER
!>          The leading dimension of the array T.  LDT >= MB.
!> 

WORK

!>          WORK is DOUBLE PRECISION array, dimension (MB*N)
!> 

INFO

!>          INFO is INTEGER
!>          = 0:  successful exit
!>          < 0:  if INFO = -i, the i-th argument had an illegal value
!> 

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!>
!>  The matrix V stores the elementary reflectors H(i) in the i-th row
!>  above the diagonal. For example, if M=5 and N=3, the matrix V is
!>
!>               V = (  1  v1 v1 v1 v1 )
!>                   (     1  v2 v2 v2 )
!>                   (         1 v3 v3 )
!>
!>
!>  where the vi's represent the vectors which define H(i), which are returned
!>  in the matrix A.  The 1's along the diagonal of V are not stored in A.
!>  Let K=MIN(M,N).  The number of blocks is B = ceiling(K/MB), where each
!>  block is of order MB except for the last block, which is of order
!>  IB = K - (B-1)*MB.  For each of the B blocks, a upper triangular block
!>  reflector factor is computed: T1, T2, ..., TB.  The MB-by-MB (and IB-by-IB
!>  for the last block) T's are stored in the MB-by-K matrix T as
!>
!>               T = (T1 T2 ... TB).
!>