Five- and six-dimensional lattice rules generated by structured matrices

Journal of Complexity

Volumn 19, Issue 6, 2003, Pages 715-729

  Cools, Ronald ^a   Govaert, Hilde ^a  

^a UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

Circulant matrix; Cubature; Lattice rule; Multi dimensional integration

Indexed keywords

EID: 0346973053     PISSN: 0885064X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jco.2003.08.001     Document Type: Article

References (8)

1. R. Cools, H. Govaert, More about five- and six-dimensional lattice rules generated by structured matrices, Report TW 365, Department of Computer Science, K.U. Leuven, 2003.
2. R. Cools, J.N. Lyness, Three- and four-dimensional K-optimal lattice rules of moderate trigonometric degree, Math. Comp. 70 (236) (2001) 1549-1567.
3. R. Cools, I.H. Sloan, Minimal cubature formulae of trigonometric degree, Math. Comp. 65 (216) (1996) 1583-1600.
4. P.J. Davis, Circulant Matrices, 2nd Edition, AMS Chelsea Publishing, New York, 1994.
5. J. Lyness, T. Sørevik, Four-dimensional lattice rules generated by skew-circulant matrices, Math. Comp., Electronically published June 2003.
6. J. Lyness, Notes on lattice rules, J. Complexity 19 (3) (2003) 321-331.
7. A.R. Semenova, An algorithm for the construction of cubature formulas of high trigonometric accuracy, in: C.B. Shoynjurov (Ed.), Cubature Formulas and their Applications (Russian), East-Siberian State University of Technology (VSG T4), Ulan-Ude, 1997, pp. 93-105.
8. I.H. Sloan, S. Joe, Lattice Methods for Multiple Integration, Oxford University Press, Oxford, 1994.