Re: TIB: Problematic equation in ti-86

To: ti-basic@towerguard.unix.edu.sollentuna.se
Subject: Re: TIB: Problematic equation in ti-86
From: Janne M{kel{ <maja@otol.fi>
Date: Sun, 28 Dec 1997 02:28:32 +0200 (EET)
In-Reply-To: <199712262301.AAA13799@towerguard.unix.edu.sollentuna.se>
Reply-To: ti-basic@lists.ticalc.org



> If not then you will need to use Newton's method:
> 
> Let f(c) = 0, where f is differentiable on an open interval containing c.
>  Then, to approximate c, use the following steps.
> 
> 1. Make an initial estimate x1 that is "close" to c.
> 2. Determine a new approximation
>      x2 = x1 - f(x1)/f'(x1)
> 3. if abs(x1 - x2) is less than desired accuracy, let x2 serve as the
> final approximation.  Otherwise, return to step 2 and calculate a new
> approximation(using value of x2 in x1).

That one worked perfectly, thanks! Making good guesses isn't that easy
though, but eventually the right answer always pops out.


- Janne -

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