Approximating poles of complex rational functions
Levente Lócsi · Acta Universitatis Sapientiae Mathematica · 2009
In this paper we investigate the application of the Nelder- Mead simplex method to approximate poles of complex rational func- tions. To our knowledge, there isn't any algorithm which is able to find the poles of a function when only the values on the unit circle are given. We will show that this method can accurately approximate 1, 2 or even 3 poles without any preliminary knowledge of their locations. The work presented here has implications in the study of ECG signals.