HP 11C real root finder [Newton Method]
01-12-2014, 01:26 PM
Post: #5
 Dieter Senior Member Posts: 2,397 Joined: Dec 2013
RE: HP 11C real root finder [Newton Method]
(01-12-2014 08:31 AM)Namir Wrote:  ...h = 0.001*(ABS(X)+1)

First of all, instead of multiplying with $$10^{-3}$$, dividing by $$10^{3}$$ is one step shorter. ;-)

This method for determining h will work in most cases, but not for very small arguments. Consider $$x = 10^{-4}$$ or even $$x = 10^{-40}$$. That's why I prefer $$h = x/10^4$$. On the 34s, the result can be easily rounded to 1 or 2 significant digits (RSD 1) to prevent slight roundoff errors. As usual, $$x=0$$ is handled as $$x=1$$.

Dieter
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 Messages In This Thread HP 11C real root finder [Newton Method] - Carlos CM (Mexico) - 01-09-2014, 11:59 PM RE: HP 11C real root finder [Newton Method] - Thomas Klemm - 01-10-2014, 12:57 AM RE: HP 11C real root finder [Newton Method] - Carlos CM (Mexico) - 01-10-2014, 05:28 PM RE: HP 11C real root finder [Newton Method] - Namir - 01-12-2014, 08:31 AM RE: HP 11C real root finder [Newton Method] - Dieter - 01-12-2014 01:26 PM RE: HP 11C real root finder [Newton Method] - Namir - 01-15-2014, 05:53 AM RE: HP 11C real root finder [Newton Method] - Dieter - 01-15-2014, 08:38 PM RE: HP 11C real root finder [Newton Method] - Thomas Klemm - 01-14-2014, 08:56 PM

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