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

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