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Hannibal lecter

Member

Registered: 2016-02-11

Posts: 392

how to find root of f(x) = ln(x) by fixed point iteration?

Hi,

how to find root of f(x) =  - ln(x) by fixed point iteration?

Last edited by Hannibal lecter (2018-01-06 08:15:59)

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Bob

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Registered: 2010-06-20

Posts: 10,640

Re: how to find root of f(x) = ln(x) by fixed point iteration?

hi Hannibal lecter

This should do it:

https://en.wikipedia.org/wiki/Newton%27s_method

Bob

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You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
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zetafunc

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Registered: 2014-05-21

Posts: 2,440

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Re: how to find root of f(x) = ln(x) by fixed point iteration?

As bob points out, Newton-Raphson provides a pretty fast rate of convergence to the well-known root at

. In fact, after just 6 iterations, it has an error of around

.