Predictor polynomials are often used in linear prediction methods main
ly for extracting properties of physical systems which are described b
y time series. The aforementioned properties are associated with a few
zeros of large polynomials and for this reason the zero locations of
those polynomials must be analyzed. We present a linear algebra approa
ch for determining the zero locations of predictor polynomials, which
enables us to generalize some early results obtained by Kumaresan in t
he signal analysis field. We also present an analysis of zero location
s for time series having multiple zeros. (C) 1997 by John Wiley & Sons
, Ltd.