Finding roots of polynomials by using the Routh array

T. Nigel Lucas

doi:10.1049/el:19960980

Finding roots of polynomials by using the Routh array

T. Nigel Lucas

Research output: Contribution to journal › Article › peer-review

18 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	1519–1521
Number of pages	3
Journal	Electronics Letters
Volume	32
Issue number	16
DOIs	https://doi.org/10.1049/el:19960980
Publication status	Published - 1 Aug 1996

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abstract = "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.",

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