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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

A lower bound for rank 2 lattice rules


Author: Friedrich Pillichshammer
Journal: Math. Comp. 73 (2004), 853-860
MSC (2000): Primary 11K06, 65D32, 41A55
Published electronically: July 29, 2003
MathSciNet review: 2031410
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Abstract: We give a lower bound for a quality measure of rank 2 lattice rules which shows that an existence result of Niederreiter is essentially best possible.


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Additional Information

Friedrich Pillichshammer
Affiliation: Institut für Analysis, Universität Linz, Altenbergerstraße 69, A-4040 Linz, Austria
Email: friedrich.pillichshammer@jku.at

DOI: http://dx.doi.org/10.1090/S0025-5718-03-01596-5
PII: S 0025-5718(03)01596-5
Keywords: Rank 2 lattice rule, quadrature error bound
Received by editor(s): August 5, 2002
Received by editor(s) in revised form: November 8, 2002
Published electronically: July 29, 2003
Additional Notes: Supported by the Austrian Research Foundation (FWF), project S 8305.
Article copyright: © Copyright 2003 American Mathematical Society