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On zero locations of predictor polynomials
Author(s) -
Bazán Fermin S. V.,
Bezerra Licio H.
Publication year - 1997
Publication title -
numerical linear algebra with applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.02
H-Index - 53
eISSN - 1099-1506
pISSN - 1070-5325
DOI - 10.1002/(sici)1099-1506(199711/12)4:6<459::aid-nla120>3.0.co;2-h
Subject(s) - mathematics , zero (linguistics) , series (stratigraphy) , difference polynomials , discrete orthogonal polynomials , classical orthogonal polynomials , field (mathematics) , orthogonal polynomials , algebra over a field , pure mathematics , paleontology , philosophy , linguistics , biology
Predictor polynomials are often used in linear prediction methods mainly for extracting properties of physical systems which are described by 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 approach for determining the zero locations of predictor polynomials, which enables us to generalize some early results obtained by Kumaresan in the signal analysis field. We also present an analysis of zero locations for time series having multiple zeros. © 1997 by John Wiley & Sons, Ltd.