lambertw (Symbolic Math Toolbox)

lambertw
Lambert's W function.

Syntax

Y = lambertw(X)

Description
lambertw(X) evaluates Lambert's W function at the elements of X, a numeric matrix or a symbolic matrix. Lambert's W solves the equation

for w as a function of x.

Examples
lambertw([0 -exp(-1); pi 1]) returns

         0   -1.0000 
    1.0737    0.5671

The statements

syms x y
lambertw([0 x;1 y])

return

[           0, lambertw(x)]
[ lambertw(1), lambertw(y)]

References
[1] Corless, R.M, Gonnet, G.H., Hare, D.E.G., and Jeffrey, D.J., Lambert's W Function in Maple, Technical Report, Dept. of Applied Math., Univ. of Western Ontario, London, Ontario, Canada.

[2] Corless, R.M, Gonnet, G.H., Hare, D.E.G., and Jeffrey, D.J., On Lambert's W Function, Technical Report, Dept. of Applied Math., Univ. of Western Ontario, London, Ontario, Canada.

Both papers are available by anonymous FTP from

cs-archive.uwaterloo.ca

jordan laplace