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      The Number of Lattice Rules of Specified Upper Class and Rank

      Lyness, J.N.; Joe, Stephen
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      the-number-of-lattice.pdf
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      DOI
       10.1023/A:1026048021823
      Link
       www.springerlink.com
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      Lyness, J.N. & Joe, Stephen(2003). The Number of Lattice Rules of Specified Upper Class and Rank. Bit Numerical Mathematics, 43(2), 413-426.
      Permanent Research Commons link: https://hdl.handle.net/10289/2003
      Abstract
      The upper class of a lattice rule is a convenient entity for classification and other purposes. The rank of a lattice rule is a basic characteristic, also used for classification. By introducing a rank proportionality factor and obtaining certain recurrence relations, we show how many lattice rules of each rank exist in any prime upper class. The Sylow p-decomposition may be used to obtain corresponding results for any upper class.
      Date
      2003
      Type
      Journal Article
      Publisher
      Springer Netherlands
      Rights
      This is an author’s version of an article published in the journal: BIT Numerical Mathematics. © Springer Netherlands. The original publication is available at www.springerlink.com.
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      • Computing and Mathematical Sciences Papers [1452]
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