Estimations for the Separation Number of a Polynomial System

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Estimations for the Separation Number of a Polynomial System

This paper is devoted to the study of the separation number of a polynomial system f : C → C defining a zero-dimensional nonsingular variety. The separation number of f is defined by sep(f) = min ‖x− y‖ where the minimum is taken for x 6= y ∈ C with f(x) = f(y) = 0. In the case of a single variable polynomial f(x) = ad ∏d i=1(x − ri) various lower bounds for sep(f) have been proved and can be f...

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ژورنال

عنوان ژورنال: Journal of Symbolic Computation

سال: 1997

ISSN: 0747-7171

DOI: 10.1006/jsco.1997.0161