Selected Chapters From Algebra, V. Real Numbers and Polynomials
I. R. Shafarevich (2001)
The Teaching of Mathematics
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I. R. Shafarevich (2001)
The Teaching of Mathematics
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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...
Petr Klán (1985)
Kybernetika
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J. L. Walsh (1926)
Mathematische Zeitschrift
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J. Cohn (1977)
Acta Arithmetica
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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.
Milan Geryk (1972)
Aplikace matematiky
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