WAPR

Algorithm 743: WAPR: a FORTRAN routine for calculating real values of the W-function. We implement the W-function approximation scheme described by the authors [ibid. 21, No. 2, 161--171 (1995; reviewed above) brack. 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. (Source: http://dl.acm.org/)

This software is also peer reviewed by journal TOMS.


References in zbMATH (referenced in 13 articles , 1 standard article )

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  1. Belkić, Dževad: All the trinomial roots, their powers and logarithms from the Lambert series, Bell polynomials and Fox-Wright function: illustration for genome multiplicity in survival of irradiated cells (2019)
  2. Belkić, Dževad: The Euler (T) and Lambert (W) functions in mechanistic radiobiological models with chemical kinetics for repair of irradiated cells (2018)
  3. Iacono, Roberto; Boyd, John P.: New approximations to the principal real-valued branch of the Lambert (W)-function (2017)
  4. Belkić, Dževad: Survival of radiation-damaged cells via mechanism of repair by pool molecules: the Lambert function as the exact analytical solution of coupled kinetic equations (2014)
  5. Belkić, Dževad: Repair of irradiated cells by Michaelis-Menten enzyme catalysis: the Lambert function for integrated rate equations in description of surviving fractions (2014)
  6. Boyd, John P.: Chebyshev polynomial expansions for simultaneous approximation of two branches of a function with application to the one-dimensional Bratu equation (2003)
  7. Banwell, Thomas C.: Bipolar transistor circuit analysis using the Lambert (W)-function (2000)
  8. Schnell, S.; Mendoza, C.: Enzyme kinetics of multiple alternative substrates (2000)
  9. Lin, Michael; Tempelman, Arkady: Averaging sequences and modulated ergodic theorems for weakly almost periodic group representations (1999)
  10. Boyd, J. P.: Global approximations to the principal real-valued branch of the Lambert (W)-function (1998)
  11. Barry, D. A.; Barry, S. J.; Culligan-Hensley, P. J.: Algorithm 742: WAPR: A Fortran routine for calculating real values of the (W)-function (1995)
  12. Barry, D. A.; Barry, S. J.; Culligan-Hensley, P. J.: Algorithm 743. WAPR: a Fortran routine for calculating real values of the \textitW-function. (1995) ioport
  13. Barry, D. A.; Culligan-Hensley, P. J.; Barry, S. J.: Real values of the (W)-function (1995)