On the solutions of the rational covariance extension problem corresponding to pseudopolynomials having boundary zeros

H.I. Nurdin, Arunabha Bagchi

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    Abstract

    In this paper, we study the rational covariance extension problem when the chosen pseudopolynomial of degree at most $n$ has zeros on the boundary of the unit circle. In particular, we derive a necessary and sufficient condition for a solution to be of degree $n$ or of degree less than $n$. Furthermore, we propose a new computational procedure for this special case of zeros of pseudopolynomials on the boundary and illustrate it by means of two examples.
    Original languageUndefined
    Place of PublicationEnschede
    PublisherUniversity of Twente, Department of Applied Mathematics
    Publication statusPublished - 2004

    Publication series

    Name
    PublisherDepartment of Applied Mathematics, University of Twente
    No.1716
    ISSN (Print)0169-2690

    Keywords

    • MSC-41A05
    • MSC-30E05
    • EWI-3536
    • IR-65901
    • MSC-65D05

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