Triangular canonical forms for lattice rules of prime-power order

DOI10.1090/S0025-5718-96-00691-6zbMath0853.65031OpenAlexW1971607742MaRDI QIDQ4878539

Stephen Joe, J. N. Lyness

Publication date: 5 January 1997

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-96-00691-6

zbMATH Keywords

lattice rulesmultiple integralsprime-power order rulesultratriangular canonical form

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (2)

Lattice rules of minimal and maximal rank with good figures of merit ⋮ The ultratriangular form for prime-power lattice rules

Cites Work

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• Zur angenäherten Berechnung mehrfacher Integrale
• Zur quantitativen Theorie der Gleichverteilung
• Lattice Rules: Projection Regularity and Unique Representations
• The Representation of Lattice Quadrature Rules as Multiple Sums
• Applications of Number Theory to Numerical Analysis
• Quasi-Monte Carlo methods and pseudo-random numbers
• Lattice Rules by Component Scaling
• Application of the Smith Normal Form to the Structure of Lattice Rules

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