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Title:

Surface volumes of rounding polytopes

Document type:
Zeitschriftenaufsatz
Author(s):
Drton, Mathias; Schwingenschlögl, Udo
Abstract:
The paper determines the vertices and surface volumes of all rounding polytopes for commonly used rounding methods: the quota method of greatest remainders, and the divisor methods. These methods are used to round continuous non-negative weights summing to one to non-negative integers summing to a predetermined accuracy, e.g. to 100 when rounding to percentages. Our results are of interest when average properties of rounding methods are investigated, and an example from political science is incl...     »
Dewey Decimal Classification:
510 Mathematik
Journal title:
Linear Algebra and its Applications
Year:
2004
Journal volume:
378
Year / month:
2004-02
Quarter:
1. Quartal
Month:
Feb
Pages contribution:
71-91
Language:
en
Fulltext / DOI:
doi:10.1016/j.laa.2003.09.005
Publisher:
Elsevier BV
E-ISSN:
0024-3795
Date of publication:
01.02.2004
Format:
Text
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