sobolset class - Superclasses: qrandset

Sobol quasi-random point sets

Description

sobolset is a quasi-random point set class that produces points from the Sobol sequence. The Sobol sequence is a base-2 digital sequence that fills space in a highly uniform manner.

Construction

sobolset

Construct Sobol quasi-random point set

Methods

Inherited Methods

Methods in the following table are inherited from qrandset.

disp	Display qrandset object
end	Last index in indexing expression for point set
length	Length of point set
ndims	Number of dimensions in matrix
net	Generate quasi-random point set
scramble	Scramble quasi-random point set
size	Number of dimensions in matrix
subsref	Subscripted reference for qrandset

Properties

PointOrder

Point generation method

Inherited Properties

Properties in the following table are inherited from qrandset.

Dimensions	Number of dimensions
Leap	Interval between points
ScrambleMethod	Settings that control scrambling
Skip	Number of initial points to omit from sequence
Type	Name of sequence on which point set `P`is based

Copy Semantics

Value. To learn how this affects your use of the class, see Comparing Handle and Value Classes in the MATLAB Object-Oriented Programming documentation.

References

[1] Bratley, P., and B. L. Fox, "ALGORITHM 659 Implementing Sobol's Quasirandom Sequence Generator," ACM Transactions on Mathematical Software, Vol. 14, No. 1, pp. 88-100, 1988.

[2] Joe, S., and F. Y. Kuo, "Remark on Algorithm 659: Implementing Sobol's Quasirandom Sequence Generator," ACM Transactions on Mathematical Software, Vol. 29, No. 1, pp. 49-57, 2003.

[3] Hong, H. S., and F. J. Hickernell, "ALGORITHM 823: Implementing Scrambled Digital Sequences," ACM Transactions on Mathematical Software, Vol. 29, No. 2, pp. 95-109, 2003.

[4] Matousek, J., "On the L2-discrepancy for anchored boxes," Journal of Complexity, Vol. 14, pp. 527-556, 1998.