  We introduce a new method for estimating determinants or determinant ratios
of large matrices, which combines the techniques of Pad\`{e} approximation with
rational functions and $Z_{2}$ noise estimation of traces of large matrices.
The method requires simultaneously solving several matrix equations, which can
be conveniently accomplished using the MR method. We include some preliinary
results, and indicate potential applications to non-Hermitian matrices, and
Hybrid Monte Carlo without pseudofermions.
