bratley1992

probnum.problems.zoo.quad.bratley1992(dim)

‘Bratley 1992’ test function on \([0,1]^d\).

\[f(x) = \sum_{i=1}^d (-1)^i \prod_{j=1}^i x_j.\]

See [1], [2].

Parameters:

dim (int) – Dimension of the domain

Return type:

QuadratureProblem

References

[1]

Bratley, P., Fox, B. L., & Niederreiter, H. (1992). Implementation and tests of low-discrepancy sequences. ACM Transactions on Modeling and Computer Simulation (TOMACS), 2(3), 195-213.

[2]

https://www.sfu.ca/~ssurjano/bratleyetal92.html