Algorithm 743: WAPR--a Fortran routine for calculating real values of the W-function

Authors:
D. A. Barry;S. J. Barry;P. J. Culligan-Hensley
Affiliations:
Univ. of Western Australia, Nedlands, W.A., Australia;Griffith Univ., Nathan, Queensland, Australia;Univ. of Western Australia, Nedlands, W.A., Australia
Venue:
ACM Transactions on Mathematical Software (TOMS)
Year:
1995

Citing 2
Cited 2

Real values of the W-function

ACM Transactions on Mathematical Software (TOMS)
Solution of the transcendental equation wew = x

Communications of the ACM

Real values of the W-function

ACM Transactions on Mathematical Software (TOMS)
Chebyshev polynomial expansions for simultaneous approximation of two branches of a function with application to the one-dimensional Bratu equation

Applied Mathematics and Computation

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Abstract

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 specifying x itself or by specifying an offset from −exp(−1), the latter option necessitated by rounding errors that can arise for x close to −exp(−1). Results of running the code on a SUN workstation are included.