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<PRE>
  To apply the orthogonal symplectic block reflector

           [  I+V*T*V'  V*R*S*V'  ]
      Q =  [                      ]
           [ -V*R*S*V'  I+V*T*V'  ]

  or its transpose to a real 2m-by-n matrix [ op(A); op(B) ] from
  the left.
  The k-by-k upper triangular blocks of the matrices

                              [ S1 ]       [ T11 T12 T13 ]
      R  = [ R1 R2 R3 ],  S = [ S2 ],  T = [ T21 T22 T23 ],
                              [ S3 ]       [ T31 T32 T33 ]

  with R2 unit and S