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We critique a Pade analytic continuation method whereby a rational polynomialfunction is fit to a set of input points by means of a single matrix inversion.This procedure is accomplished to an extremely high accuracy using a novelsymbolic computation algorithm. As an example of this method in action we applyit to the problem of determining the spectral function of a one-particlethermal Green's function known only at a finite number of Matsubara frequencieswith two example self energies drawn from the T-matrix theory of the Hubbardmodel. We present a systematic analysis of the effects of error in the inputpoints on the analytic continuation, and this leads us to propose a procedureto test quantitatively the reliability of the resulting continuation, thuseliminating the black magic label frequently attached to this procedure.Comment: 11 pages, 8 eps figs, revtex format; revised version includes  reference to anonymous ftp site containing example codes (MapleVr5.1  worksheets) displaying the implementation of the algorithm, including the  padematinv.m library packag

Reliable Padé analytical continuation method based on a high-accuracy symbolic computation algorithm