A note on optimal point distributions in [0, 1)s

Journal of Computational and Applied Mathematics

Volumn 206, Issue 2, 2007, Pages 977-985

  Larcher, Gerhard ^a   Pillichshammer, Friedrich ^a  

^a JOHANNES KEPLER UNIVERSITY LINZ   (Austria)

Author keywords

L2 , star, extreme and isotropic discrepancy

Indexed keywords

SET THEORY;

EXTREME DISCREPANCY; ISOTROPIC DISCREPANCY; OPTIMAL POINT DISTRIBUTIONS;

COMPUTATIONAL METHODS;

EID: 34249820234     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2006.09.004     Document Type: Article

References (7)

1. Drmota M., and Tichy R.F. Sequences, Discrepancies and Applications. Lecture Notes in Mathematics vol. 1651 (1997), Springer, Berlin
2. M. Hudelson, V. Klee, D. Larman, Largest j-simplices in d-cubes: some relatives of the Hadamard maximum determinant problem, Proceedings of the Fourth Conference of the International Linear Algebra Society, (Rotterdam, 1994), Linear Algebra Appl. 241/243, 1996, pp. 519-598.
3. Kuipers L., and Niederreiter H. Uniform Distribution of Sequences (1974), Wiley, New York
4. Matoušek J. Geometric discrepancy. Algorithms and Combinatorics vol. 18 (1999), Springer, Berlin
5. H. Niederreiter, Random number generation and quasi-Monte Carlo methods, CBMS-NSF Series in Applied Mathematics, vol. 63, SIAM, Philadelphia, 1992.
6. ∞ star discrepancies of a single point in the unit hypercube. J. Comput. Appl. Math. 197 1 (2006) 282-285
7. White B.E. On optimal extreme-discrepancy point sets in the square. Numer. Math. 27 (1977) 157-164