Lattice | R Documentation |

Generate good rank-1 lattice points with prime number of points by using the fast component-by-component construction algorithm of Nuyens and Cools (2006). Refer Nuyens (2007) for more details.

Lattice(n, p)

`n` |
The number of points, which should be a prime. |

`p` |
The number of dimensions. |

An n-by-p matrix containing the good lattice points.

Dianpeng Wang <wdp@bit.edu.cn> and V. Roshan Joseph <roshan@gatech.edu>

Nuyens, D. and Cools, R. (2006). "Fast algorithms for component-by-component construction of rank-1 lattice rules in shift-invariant reproducing kernel Hilbert spaces.", *Mathematics of Computation*, 75, 903-920.

Nuyens, D. (2007). "Fast Construction of Good Lattice Rules.", *Ph.D Thesis*, Katholieke Universiteit Leuven, Leuven, Belgium.

library(mined) res <- Lattice(101, 2) plot(res[, 1], res[, 2], col='red',xlab='First dimension', ylab='Second dimension', pch=15)

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