A new proof of Vincent's theorem
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Publication:1594939
zbMath0988.12001MaRDI QIDQ1594939
Massimo Galuzzi, Alberto Alesina
Publication date: 30 January 2001
Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)
Other combinatorial number theory (11B75) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10)
Related Items (12)
Complexity of real root isolation using continued fractions ⋮ A deterministic algorithm for isolating real roots of a real polynomial ⋮ Improved bounds for the CF algorithm ⋮ On the computing time of the continued fractions method ⋮ On the complexity of the Descartes method when using approximate arithmetic ⋮ A general approach to isolating roots of a bitstream polynomial ⋮ Vincent's theorem of 1836: overview and future research ⋮ New bounds for the Descartes method ⋮ Computing real roots of real polynomials ⋮ On the complexity of real root isolation using continued fractions ⋮ On continued fraction expansion of real roots of polynomial systems, complexity and condition numbers ⋮ Localization of real algebraic hypersurfaces with applications to the enumeration of the classes of relative equilibria of a \((5+1)\)-body problem
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