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Numerical algorithms for polynomial plus/minus factorization

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F08%3A00146502" target="_blank" >RIV/68407700:21230/08:00146502 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Numerical algorithms for polynomial plus/minus factorization

  • Original language description

    Two new algorithms are presented in the paper for the plus/minus factorization of a scalar discrete-time polynomial. The first method is based on the discrete Fourier transform theory (DFT) and its relationship to the Z-transform. Involving DFT computational techniques and the famous fast Fourier transform routine brings high computational efficiency and reliability. The method is applied in the case study of H-2-optimal inverse dynamic filter to an audio equipment. The second numerical procedure originates in a symmetric spectral factorization routine, namely the Bauer's method of the 1950s. As a by-product, a recursive LU factorization procedure for Toeplitz matrices is devised that is of more general impact and can be of use in other areas of applied mathematics as well. Performance of the method is demonstrated by an l(1) optimal controller design example. Copyright (c) 2006 John Wiley & Sons, Ltd.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BC - Theory and management systems

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA102%2F08%2F0186" target="_blank" >GA102/08/0186: Algorithms for Complex Systems Analysis and Control Design</a><br>

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2008

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Proceedings of the Symposium to Honor Bill Wolovich

  • ISBN

  • ISSN

    1049-8923

  • e-ISSN

  • Number of pages

    8

  • Pages from-to

  • Publisher name

    University of Notre Dame

  • Place of publication

    Notre Dame

  • Event location

    Cancun

  • Event date

    Dec 7, 2008

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article