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• W2130331374 abstract "This paper presents a novel means of computing the greatest common divisor (GCD) of two polynomials with real-valued coefficients that have been perturbed by noise. The method involves the QR-factorization of a near-to-Toeplitz matrix derived from the Sylvester matrix of the two polynomials. It turns out that the GCD to within a constant factor is contained in the last nonzero row of the upper triangular matrix R in the QR-factorization of the near-to-Toeplitz matrix. The QR-factorization is efficiently performed by an algorithm due to Chun et al. (1987). A condition number estimator due to Bischof (1990) and an algorithm for rank estimation due to Zarowski (1998) are employed to account for the effects of noise." @default.
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• W2130331374 date "2000-01-01" @default.
• W2130331374 modified "2023-10-16" @default.
• W2130331374 title "QR-factorization method for computing the greatest common divisor of polynomials with inexact coefficients" @default.
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• W2130331374 doi "https://doi.org/10.1109/78.875462" @default.
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