Mathematical Software (TOMS)


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ACM Transactions on Mathematical Software (TOMS), Volume 21 Issue 2, June 1995

Real values of the W-function
D. A. Barry, P. J. Culligan-Hensley, S. J. Barry
Pages: 161-171
DOI: 10.1145/203082.203084
Approximations for real values of W(x), where W is defined by solutions of W exp(W) = x, are presented. All of the approximations have maximum absolute...

Algorithm 743: WAPR--a Fortran routine for calculating real values of the W-function
D. A. Barry, S. J. Barry, P. J. Culligan-Hensley
Pages: 172-181
DOI: 10.1145/203082.203088
We implement W-function approximation scheme described by Barry et al. A range of tests of the approximations is included so that the code can be assessed on any given machine. Users can calculate W(x) by...

A rejection technique for sampling from T-concave distributions
Wolfgang Hörmann
Pages: 182-193
DOI: 10.1145/203082.203089
A rejection algorithm that uses a new method for constructing simple hat functions for a unimodal, bounded density f is introduced called “transformed density rejection.” It is based on the idea of transforming...

Algorithm 744: a stochastic algorithm for global optimization with constraints
F. Michael Rabinowitz
Pages: 194-213
DOI: 10.1145/203082.203090
A stochastic algorithm is presented for finding the global optimum of a function of n variables subject to general constraints. The algorithm is intended for moderate values of n, but it can accommodate...