Selected Chapters From Algebra, V. Real Numbers and Polynomials
I. R. Shafarevich (2001)
The Teaching of Mathematics
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Displaying similar documents to “On the Various Bisection Methods Derived from Vincent’s Theorem”
Selected Chapters From Algebra, V. Real Numbers and Polynomials
FLQ, the Fastest Quadratic Complexity Bound on the Values of Positive Roots of Polynomials
Akritas, Alkiviadis, Argyris, Andreas, Strzeboński, Adam (2008)
Serdica Journal of Computing
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In this paper we present F LQ, a quadratic complexity bound on the values of the positive roots of polynomials. This bound is an extension of FirstLambda, the corresponding linear complexity bound and, consequently, it is derived from Theorem 3 below. We have implemented FLQ in the Vincent-Akritas-Strzeboński Continued Fractions method (VAS-CF) for the isolation of real roots of polynomials and compared its behavior with that of the theoretically proven best bound, LM Q. Experimental...
Estimation of polynomial roots by continued fractions
Petr Klán (1985)
Kybernetika
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Note on the location of the roots of a polynomial
J. L. Walsh (1926)
Mathematische Zeitschrift
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Equations with equivalent roots
J. Cohn (1977)
Acta Arithmetica
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On Arrangements of Real Roots of a Real Polynomial and Its Derivatives
Kostov, Vladimir (2003)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 12D10. We prove that all arrangements (consistent with the Rolle theorem and some other natural restrictions) of the real roots of a real polynomial and of its s-th derivative are realized by real polynomials.