Computes the Lambert W function, giving efficient solutions to the equation x*exp(x)==x lambertW(z, b = 0, maxiter = 10, eps = .Machine$double.eps, min.imag = 1e-09)
lambertW(z, b = 0, maxiter = 10, eps = .Machine$double.eps, min.imag = 1e-09)(complex) vector of values for which to compute the function
integer, defaults to 0. vector of branches: b=0 specifies the principal branch, 0 and -1 are the ones that can take non-complex values
maximum numbers of iterations for convergence
convergence tolerance
maximum magnitude of imaginary part to chop when returning solutions
Compute the Lambert W function of z. This function satisfies W(z)*exp(W(z)) = z, and can thus be used to express solutions of transcendental equations involving exponentials or logarithms. The Lambert W function is also available in Mathematica (as the ProductLog function), and in Maple and Wolfram.
Corless, Gonnet, Hare, Jeffrey, and Knuth (1996), "On the Lambert W Function", Advances in Computational Mathematics 5(4):329-359