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A direct algorithm for extracting a transfer function's multiple zeros or poles

By Y.C. Pao and M. Newman

Abstract

AbstractUse of the elementary symmetric and summation functions has enabled the number of distinct roots of a given polynomial to be calculated by constructing the increasing order discriminants of the polynomial. In this paper, an algorithm is provided for computing the coefficients of a divider polynomial containing only these distinct roots. By repeatedly extracting the divider polynomials from the given polynomial, the multiplicities of the roots of the given polynomial can be determined

Publisher: Published by Elsevier Ltd.
Year: 1998
DOI identifier: 10.1016/S0898-1221(98)00055-8
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