Note on the location of the roots of a polynomial
J. L. Walsh (1926)
Mathematische Zeitschrift
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J. L. Walsh (1926)
Mathematische Zeitschrift
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I. R. Shafarevich (2001)
The Teaching of Mathematics
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McLennan, Andrew (1999)
Beiträge zur Algebra und Geometrie
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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...
Miloš Kössler (1951)
Czechoslovak Mathematical Journal
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I. R. Shafarevich (1999)
The Teaching of Mathematics
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Nikos E. Mastorakis (1996)
Kybernetika
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