Diophantine Approximations and Integer Points of Cones |
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| Authors: | Martin Henk Robert Weismantel |
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| Institution: | 1.Technische Universit?t Wien, Institut für Analysis; Wiedner Hauptstr. 8-10/1142, A-1040 Wien, Austria; E-mail: henk@osiris.tuwien.ac.at,AT;2.Universit?t Magdeburg, Institut für Mathematische Optimierung; Universit?tsplatz 2, 39106 Magdeburg, Germany; E-mail: weismantel@imo.math.uni-magdeburg.de,DE |
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| Abstract: | The purpose of this note is to present a relation between directed best approximations of a rational vector and the elements
of the minimal Hilbert basis of certain rational pointed cones. Furthermore, we show that for a special class of these cones
the integer Carathéodory property holds true.
Received May 6, 1998
RID="*"
ID="*" Supported by a "Leibniz Preis" of the German Science Foundation (DFG) awarded to M. Gr?tschel.
RID="†"
ID="†" Supported by a "Gerhard-Hess-Forschungsf?rderpreis" of the German Science Foundation (DFG). |
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| Keywords: | AMS Subject Classification (2000) Classes: 52C07 90C27 |
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