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Title: A classification of lattice rules using the reciprocal lattice generator matrix

Technical Report ·
DOI:https://doi.org/10.2172/5886138· OSTI ID:5886138

The search for cost-effective lattice rules is a time-consuming and difficult process. After a brief overview of some of the lattice theory relevant to these rules, a new approach to this search is suggested. This approach is based on a classification of lattice rules using ''the upper triangular lattice form'' of the reciprocal lattice generator matrix. 14 refs., 1 tab.

Research Organization:
Argonne National Lab. (ANL), Argonne, IL (United States)
DOE Contract Number:
W-31109-ENG-38
OSTI ID:
5886138
Report Number(s):
ANL-89/20; ON: DE89014364
Resource Relation:
Other Information: Portions of this document are illegible in microfiche products
Country of Publication:
United States
Language:
English