LambertWClosed approximation of Lambert's w function for solving f(x) = x exp(x) for x |
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Information
This information is part of the Modelica Standard Library maintained by the Modelica Association.
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%.
Syntax
x = LambertW(y)
Inputs (1)
| y |
Type: Real Description: Input f(x) |
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Outputs (1)
| x |
Type: Real Description: Output W(y) |
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