  In this work, we present a method to locate the dominant zero of the Energy
Probability Distribution (EPD) Zeros method applied to the study of phase
transitions. The technique strongly reduces computer processing time and also
increases the accuracy of the results. As an example, we apply it to the 2D
Ising model, comparing with both the exact Onsager's results and the previous
EPD zeros method results. We show that, for large lattices, the processing time
is drastically reduced when compared to other EPD zeros search procedures,
whereas for small lattices the gain in accuracy allows very accurate
predictions in the thermodynamic limit.
