Budan tables of real univariate polynomials
نویسندگان
چکیده
منابع مشابه
Budan tables of real univariate polynomials
The Budan table of f collects the signs of the iterated derivatives of f . We revisit the classical Budan-Fourier theorem for a univariate real polynomial f and establish a new connectivity property of its Budan table. We use this property to characterize the virtual roots of f (introduced by Gonzalez-Vega, Lombardi, Mahé in 1998); they are continuous functions of the coefficients of f . We als...
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ژورنال
عنوان ژورنال: Journal of Symbolic Computation
سال: 2013
ISSN: 0747-7171
DOI: 10.1016/j.jsc.2012.11.004