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A collapsed version of the lattice-form recursive linear least-squares algorithm (the "vibration lattice") has been derived for the unforced or white noise forcing case. Under these conditions, the vibration lattice is demonstrated to be as accurate as and quicker to converge than the usual lattice. Adaptation of lattices to forced vibration is discussed. The multiple-input, multiple-output inverse lattice is derived. In general, the unforced vibration experiment is shown to be suspect.