I understand the rational for using the Lambert W. function for solving equations such as [tex]x^x = z [/tex], where no derivative in terms of elementary functions exists for the expression. However, on the Wikipedia page about the Lambert W. function, an example is given with the equation [tex]2^t = 5t[/tex]. In this case (since numerical evaluation of the W. function boils down to Newton's method in the end) is there any advantage to using the W. function instead of Newton's method directly to solve the equation, other than just getting it in an explicit formula for t? Thanks!(adsbygoogle = window.adsbygoogle || []).push({});

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Newton's method vs. Lambert W

Loading...

Similar Threads - Newton's method Lambert | Date |
---|---|

I Newton's method for approximating solutions of functions | Nov 16, 2016 |

Question regarding Newton's Method | Nov 7, 2015 |

Newton's method | Jun 18, 2015 |

How to calculate efficiency of Newton's Method | Feb 18, 2015 |

Sign confusion when taking gradient (Newton's Method) | Mar 20, 2014 |

**Physics Forums - The Fusion of Science and Community**