functionLambertW
Closed approximation of Lambert's w function for solving f(x) = x exp(x) for x
Extends from Modelica.Icons.Function (Icon for functions).
Information
This function calculates an approximation of the inverse for
f(x) = y = x * exp( x )
within ∞ > y > -1/e. The relative deviation of this approximation for Lambert's w function x = W(y) is displayed in the following graph.
For y > 10 and higher values the relative deviation is smaller 2%.
Inputs
| Type | Name | Default | Description |
|---|---|---|---|
| Real | y | Input f(x) |
Outputs
| Type | Name | Default | Description |
|---|---|---|---|
| Real | x | Output W(y) |