Finding roots of polynomials by using the Routh array

T. Nigel Lucas

    Research output: Contribution to journalArticlepeer-review

    18 Citations (Scopus)


    A robust method for finding the roots of polynomials using the Routh array is given. Certain multipoint approximation properties of the array are clarified, which enable a simple criterion to be used in the root-finding algorithm. A bisection-type iteration guarantees convergence to the roots.
    Original languageEnglish
    Pages (from-to)1519–1521
    Number of pages3
    JournalElectronics Letters
    Issue number16
    Publication statusPublished - 1 Aug 1996


    • Approximation theory
    • Convergence of numerical methods
    • Iterative methods
    • Polynomials


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