unitary matrix and R is a square upper
                                      _    H _
  triangular matrix. Then, the matrix B = Q  R is factored as
     _
     B = RP.
                                             H
  If TRANS = 'C' and 6*M &lt;= 7*N, the matrix Q  B is factored as

      H                              H     ( Z )
     Q  B = ( 0  R ) P,   M &gt;= N,   Q  B = (   ) P,   M &lt; N.
                                           ( R )

  These factorizations are utilised to either transform the
  c