!>
!> STPMQRT applies a real orthogonal matrix Q obtained from a
!>  real block reflector H to a general
!> real matrix C, which consists of two blocks A and B.
!> 

SIDE

!>          SIDE is CHARACTER*1
!>          = 'L': apply Q or Q^T from the Left;
!>          = 'R': apply Q or Q^T from the Right.
!> 

TRANS

!>          TRANS is CHARACTER*1
!>          = 'N':  No transpose, apply Q;
!>          = 'T':  Transpose, apply Q^T.
!> 

M

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

N

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

K

!>          K is INTEGER
!>          The number of elementary reflectors whose product defines
!>          the matrix Q.
!> 

L

!>          L is INTEGER
!>          The order of the trapezoidal part of V.
!>          K >= L >= 0.  See Further Details.
!> 

NB

!>          NB is INTEGER
!>          The block size used for the storage of T.  K >= NB >= 1.
!>          This must be the same value of NB used to generate T
!>          in CTPQRT.
!> 

V

!>          V is REAL array, dimension (LDV,K)
!>          The i-th column must contain the vector which defines the
!>          elementary reflector H(i), for i = 1,2,...,k, as returned by
!>          CTPQRT in B.  See Further Details.
!> 

LDV

!>          LDV is INTEGER
!>          The leading dimension of the array V.
!>          If SIDE = 'L', LDV >= max(1,M);
!>          if SIDE = 'R', LDV >= max(1,N).
!> 

T

!>          T is REAL array, dimension (LDT,K)
!>          The upper triangular factors of the block reflectors
!>          as returned by CTPQRT, stored as a NB-by-K matrix.
!> 

LDT

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

A

!>          A is REAL array, dimension
!>          (LDA,N) if SIDE = 'L' or
!>          (LDA,K) if SIDE = 'R'
!>          On entry, the K-by-N or M-by-K matrix A.
!>          On exit, A is overwritten by the corresponding block of
!>          Q*C or Q^T*C or C*Q or C*Q^T.  See Further Details.
!> 

LDA

!>          LDA is INTEGER
!>          The leading dimension of the array A.
!>          If SIDE = 'L', LDC >= max(1,K);
!>          If SIDE = 'R', LDC >= max(1,M).
!> 

B

!>          B is REAL array, dimension (LDB,N)
!>          On entry, the M-by-N matrix B.
!>          On exit, B is overwritten by the corresponding block of
!>          Q*C or Q^T*C or C*Q or C*Q^T.  See Further Details.
!> 

LDB

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

WORK

!>          WORK is REAL array. The dimension of WORK is
!>           N*NB if SIDE = 'L', or  M*NB if SIDE = 'R'.
!> 

INFO

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

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!>
!>  The columns of the pentagonal matrix V contain the elementary reflectors
!>  H(1), H(2), ..., H(K); V is composed of a rectangular block V1 and a
!>  trapezoidal block V2:
!>
!>        V = [V1]
!>            [V2].
!>
!>  The size of the trapezoidal block V2 is determined by the parameter L,
!>  where 0 <= L <= K; V2 is upper trapezoidal, consisting of the first L
!>  rows of a K-by-K upper triangular matrix.  If L=K, V2 is upper triangular;
!>  if L=0, there is no trapezoidal block, hence V = V1 is rectangular.
!>
!>  If SIDE = 'L':  C = [A]  where A is K-by-N,  B is M-by-N and V is M-by-K.
!>                      [B]
!>
!>  If SIDE = 'R':  C = [A B]  where A is M-by-K, B is M-by-N and V is N-by-K.
!>
!>  The real orthogonal matrix Q is formed from V and T.
!>
!>  If TRANS='N' and SIDE='L', C is on exit replaced with Q * C.
!>
!>  If TRANS='T' and SIDE='L', C is on exit replaced with Q^T * C.
!>
!>  If TRANS='N' and SIDE='R', C is on exit replaced with C * Q.
!>
!>  If TRANS='T' and SIDE='R', C is on exit replaced with C * Q^T.
!>