A search for good lattice rules based on the reciprocal lattice generator matrix

  • James N. Lyness
  • W. Newman
Track 8: Numerical Analysis
Part of the Lecture Notes in Computer Science book series (LNCS, volume 507)


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.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • James N. Lyness
    • 1
  • W. Newman
    • 1
  1. 1.Mathematics and Computer Science DivisionArgonne National LaboratoryArgonneUSA

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