The number of lattice rules having given invariants

DOI10.1017/S0004972700012144zbMath0756.65026MaRDI QIDQ3993937

Stephen Joe, David C. Hunt

Publication date: 13 August 1992

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

numerical resultsinvariantsrankinteger matricescubature formulalattice ruleSmith normal formsgroup-theoretic structure

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Abelian groups (20K99)

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A useful result in searches for good vertex-modified number-theoretic rules

Cites Work

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• Zur angenäherten Berechnung mehrfacher Integrale
• The number of lattice rules
• Worst-Case Complexity Bounds on Algorithms for Computing the Canonical Structure of Finite Abelian Groups and the Hermite and Smith Normal Forms of an Integer Matrix
• The Representation of Lattice Quadrature Rules as Multiple Sums

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