  A simple non-Hermitean random matrix (RM) model is used to study the Glasgow
method of finite-density lattice QCD. The zeros of the RM partition function
are evaluated through an averaging procedure, involving the zeros of the RM
'propagator matrix' in the complex chemical-potential plane. The nature of the
uncertainty affecting the results is similar to that produced by rounding
errors in computing the known analytic result. This similarity is exploited to
give quantitative estimates on the relationship between the size of the matrix
and the number of configurations needed to achieve a given precision. For the
quenched ensemble considered here, the relationship is exponential.
