Πλοήγηση ανά Συγγραφέα "Vigklas, P. S."
Αποτελέσματα 1-4 από 4
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Advances on the continued fractions method using better estimations of positive root bounds
(2007)We present an implementation of the Continued Fractions (CF) real root isolation method using a recently developed upper bound on the positive values of the roots of polynomials. Empirical results presented in this paper ... -
A comparison of various methods for computing bounds for positive roots of polynomials
(2007)The recent interest in isolating real roots of polynomials has revived interest in computing sharp upper bounds on the values of the positive roots of polynomials. Until now Cauchy's method was the only one widely used in ... -
Counting the number of real roots in an interval with Vincent's theorem
(2010)It is well known that, in 1829, the French mathematician Jacques Charles Francois Sturm (1803-1855) solved the problem of finding the number of real roots of a polynomial equation f(x) = 0, with rational coefficients and ... -
Improving the Performance of the Continued Fractions Method Using New Bounds of Positive Roots
(2008)In this paper we compare four implementations of the Vincent-Akritas-Strzebonski Continued Fractions (VAS-CF) real root isolation method using four different (two linear and two quadratic complexity) bounds on the values ...