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KIAM Preprint  45, Moscow, 2004
Authors: Bruno A. D.
Algorithm of the generalizationued continued fraction
Abstract:
In Introduction we discuss the history of the continued fraction and of its generalizations. In 1 we compare the geometric interpretations of the continued fraction given by Klein, by Voronoi and by author, and define the convex continued fraction. In 2 we propose an algorithm of computation of the convex continued fraction. In 3 we compare the geometric interpretations of the multidimensional generalizations of the continued fraction given by Klein, by Voronoi and by author (see preprint no. 86/2003). In 4 we improve an algorithm of computation of a generalization of the covex continued fraction given by the author (preprint no. 10/2004). In 5 we improve an algorithm for ordering three points on a plane.
Publication language: russian,  pages: 27
Research direction:
Mathematical problems and theory of numerical methods
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About authors:
  • Bruno Alexander Dmitrievich,  orcid.org/0000-0002-7465-1258KIAM RAS