  contain the matrix G.
          On exit, the leading N-by-N part of this array contains
          the matrix Gout.

  LDG     INTEGER
          The leading dimension of the array G.  LDG &gt;= MAX(1,N).

  Q       (input/output) DOUBLE PRECISION array, dimension (LDQ,N)
          On entry, the leading N-by-N part of this array must
          contain the matrix Q.
          On exit, the leading N-by-N part of this array contains
          the matrix Qout and in the zero parts information about
          th