Lambert W Function - Numerical Evaluation

Numerical Evaluation

The W function may be approximated using Newton's method, with successive approximations to (so ) being

The W function may also be approximated using Halley's method,

w_{j+1}=w_j-\frac{w_j e^{w_j}-z}{e^{w_j}(w_j+1)-\frac{(w_j+2)(w_je^{w_j}-z)} {2w_j+2}}

given in Corless et al. to compute W.

Read more about this topic:  Lambert W Function

Famous quotes containing the words numerical and/or evaluation:

    “There is a genius of a nation, which is not to be found in the numerical citizens, but which characterizes the society.”
    —Ralph Waldo Emerson (1803–1882)

    “Evaluation is creation: hear it, you creators! Evaluating is itself the most valuable treasure of all that we value. It is only through evaluation that value exists: and without evaluation the nut of existence would be hollow. Hear it, you creators!”
    —Friedrich Nietzsche (1844–1900)