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24. High order parametric polynomial approximation of quadrics in R [sup] dGašper Jaklič, Jernej Kozak, Marjetka Knez, Vito Vitrih, Emil Žagar, 2012, original scientific article Abstract: In this paper an approximation of implicitly defined quadrics in ▫${\mathbb R}^d$▫ by parametric polynomial hypersurfaces is considered. The construction of the approximants provides the polynomial hypersurface in a closed form, and it is based on the minimization of the error term arising from the implicit equation of a quadric. It is shown that this approach also minimizes the normal distance between the quadric and the polynomial hypersurface. Furthermore, the asymptotic analysis confirms that the distance decreases at least exponentially as the polynomial degree grows. Numerical experiments for spatial quadrics illustrate the obtained theoretical results.
Keywords: mathematics, quadric hypersurface, conic section, polynomial approximation, approximation order, normal distance
Published in RUP: 03.04.2017; Views: 2168; Downloads: 32
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26. Spread of influence in weighted networks under time and budget constraintsFerdinando Cicalese, Gennaro Cordasco, Luisa Gargano, Martin Milanič, Joseph Peters, Ugo Vaccaro, 2015, original scientific article Keywords: social networks, spread of influence, viral marketing, dynamic monopolies, exact polynomial time algorithm
Published in RUP: 15.10.2015; Views: 2691; Downloads: 192
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29. On hereditary efficiently dominatable graphsMartin Milanič, 2011, published scientific conference contribution abstract Keywords: popolna koda, učinkovita dominacija, grafi z učinkovito dominantno množico, polinomski algoritmi, hereditarni grafovski razredi, perfect code, efficient domination, efficiently dominatable graphs, polynomial time algorithms, hereditary graph classes
Published in RUP: 15.10.2015; Views: 3459; Downloads: 245
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