Vincent's forgotten theorem, its extension and application

DOI10.1016/0898-1221(81)90060-2zbMath0479.65029OpenAlexW1984091345MaRDI QIDQ1162110

Alkiviadis G. Akritas

Publication date: 1981

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(81)90060-2

zbMATH Keywords

polynomial equationrational coefficientsVincent's theoremisolation of the real roots

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05) Real polynomials: location of zeros (26C10)

Related Items

Exact algorithms for polynomial real root approximation using continued fractions

Cites Work

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• On the complexity of algorithms for the translation of polynomials
• The fastest exact algorithms for the isolation of the real roots of a polynomial equation
• On the forgotten theorem of Mr. Vincent
• Vincent's theorem of 1836: overview and future research
• An inequality for the discriminant of a polynomial
• On the Problem of Runs
• Integer Arithmetic Algorithms for Polynomial Real Zero Determination