Error analysis of signal zeros from a related companion matrix eigenvalue problem

Fermin S.V. Bazán, Ph.L. Toint

    Résultats de recherche: Contribution à un journal/une revueArticleRevue par des pairs

    Résumé

    An error analysis of the so-called signal zeros of polynomials linked to exponentially damped signals is performed and error bounds are derived. The analysis uses the link between polynomials and companion matrices and allows us to show that the related companion matrix eigenvalue problem is governed by the condition number of a rectangular Vandermonde matrix which has the zeros of interest as nodes. Conditions under which the zeros are well conditioned are discussed. © 2001 Elsevier Science Ltd. All rights reserved.
    langue originaleAnglais
    Pages (de - à)859-866
    Nombre de pages8
    journalApplied Mathematics Letters
    Volume14
    Numéro de publication866
    Les DOIs
    Etat de la publicationPublié - 1 oct. 2001

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