HP calcs are really not that accurate..
12-04-2017, 09:05 AM
Post: #61
 ttw Member Posts: 225 Joined: Jun 2014
RE: HP calcs are really not that accurate..
One must use the "Interval Newton Method" which isn't Newton's method converted to interval arithmetic (as I described above).

https://ww2.ii.uj.edu.pl/~zgliczyn/cap07/krawczyk.pdf
http://www2.math.uni-wuppertal.de/~xsc/xsc/node12.html

Starting with the interval (0,1) one computes x0=(0+1)/2; assuming the 0 and 1 are exact and that d is the unit of rounding, one uses F=x^3-2x+2 and dF=3x^2-2 starting at (0+1)/2 or 1/2 with the Newton formula:

(1/2-(3/8-1+2)/(3/4-2) giving (1/2-(11/8)/(-5/4)) => (1/2+(11/8)*(4/5)) => (1/2+11/10)=>(5/8+d,5/8-d). The last interval is intersected with (0,1) and the process continued. This assumes that I did my arithmetic correctly. The formulas are in the links.
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 Messages In This Thread HP calcs are really not that accurate.. - DA74254 - 12-01-2017, 07:49 PM RE: HP calcs are really not that accurate.. - pier4r - 12-01-2017, 08:01 PM RE: HP calcs are really not that accurate.. - BartDB - 12-01-2017, 08:18 PM RE: HP calcs are really not that accurate.. - Massimo Gnerucci - 12-01-2017, 08:23 PM RE: HP calcs are really not that accurate.. - larthurl - 12-02-2017, 10:42 AM RE: HP calcs are really not that accurate.. - Gerson W. Barbosa - 12-01-2017, 08:44 PM RE: HP calcs are really not that accurate.. - DA74254 - 12-01-2017, 09:09 PM RE: HP calcs are really not that accurate.. - Gerson W. Barbosa - 12-02-2017, 12:13 AM RE: HP calcs are really not that accurate.. - Sukiari - 12-03-2017, 01:19 AM RE: HP calcs are really not that accurate.. - brickviking - 12-03-2017, 02:43 AM RE: HP calcs are really not that accurate.. - Sukiari - 12-03-2017, 05:46 AM RE: HP calcs are really not that accurate.. - Paul Dale - 12-01-2017, 10:18 PM RE: HP calcs are really not that accurate.. - brickviking - 12-01-2017, 10:37 PM RE: HP calcs are really not that accurate.. - Joe Horn - 12-02-2017, 01:36 AM RE: HP calcs are really not that accurate.. - Luigi Vampa - 12-02-2017, 01:59 AM RE: HP calcs are really not that accurate.. - DA74254 - 12-02-2017, 07:42 AM RE: HP calcs are really not that accurate.. - Paul Dale - 12-02-2017, 08:32 AM RE: HP calcs are really not that accurate.. - DA74254 - 12-02-2017, 08:52 AM RE: HP calcs are really not that accurate.. - emece67 - 12-02-2017, 08:49 AM RE: HP calcs are really not that accurate.. - DA74254 - 12-02-2017, 08:58 AM RE: HP calcs are really not that accurate.. - emece67 - 12-03-2017, 10:03 AM RE: HP calcs are really not that accurate.. - Paul Dale - 12-03-2017, 11:40 AM RE: HP calcs are really not that accurate.. - jebem - 12-02-2017, 09:45 AM RE: HP calcs are really not that accurate.. - DA74254 - 12-02-2017, 10:37 AM RE: HP calcs are really not that accurate.. - rprosperi - 12-02-2017, 02:50 PM RE: HP calcs are really not that accurate.. - pier4r - 12-02-2017, 03:07 PM RE: HP calcs are really not that accurate.. - Thomas Okken - 12-02-2017, 03:47 PM RE: HP calcs are really not that accurate.. - rprosperi - 12-02-2017, 04:05 PM RE: HP calcs are really not that accurate.. - Paul Dale - 12-02-2017, 10:43 PM RE: HP calcs are really not that accurate.. - DA74254 - 12-03-2017, 07:46 AM RE: HP calcs are really not that accurate.. - Paul Dale - 12-03-2017, 11:34 AM RE: HP calcs are really not that accurate.. - Gerald H - 12-02-2017, 10:56 AM RE: HP calcs are really not that accurate.. - toml_12953 - 12-02-2017, 12:40 PM RE: HP calcs are really not that accurate.. - Claudio L. - 12-02-2017, 11:51 PM RE: HP calcs are really not that accurate.. - DA74254 - 12-03-2017, 08:54 AM RE: HP calcs are really not that accurate.. - Claudio L. - 12-03-2017, 07:33 PM RE: HP calcs are really not that accurate.. - Craig Bladow - 12-03-2017, 12:10 AM RE: HP calcs are really not that accurate.. - AlexFekken - 12-03-2017, 01:47 AM RE: HP calcs are really not that accurate.. - SlideRule - 12-03-2017, 01:49 AM RE: HP calcs are really not that accurate.. - AlexFekken - 12-03-2017, 02:31 AM RE: HP calcs are really not that accurate.. - SlideRule - 12-03-2017, 02:46 AM RE: HP calcs are really not that accurate.. - AlexFekken - 12-03-2017, 03:24 AM RE: HP calcs are really not that accurate.. - Claudio L. - 12-03-2017, 08:05 PM RE: HP calcs are really not that accurate.. - AlexFekken - 12-03-2017, 10:42 PM RE: HP calcs are really not that accurate.. - AlexFekken - 12-03-2017, 11:18 PM RE: HP calcs are really not that accurate.. - Claudio L. - 12-04-2017, 04:20 PM RE: HP calcs are really not that accurate.. - AlexFekken - 12-04-2017, 10:38 PM RE: HP calcs are really not that accurate.. - Thomas Okken - 12-03-2017, 09:53 PM RE: HP calcs are really not that accurate.. - AlexFekken - 12-03-2017, 10:41 PM RE: HP calcs are really not that accurate.. - Paul Dale - 12-03-2017, 11:18 PM RE: HP calcs are really not that accurate.. - AlexFekken - 12-03-2017, 11:29 PM RE: HP calcs are really not that accurate.. - pier4r - 12-03-2017, 01:45 PM RE: HP calcs are really not that accurate.. - DA74254 - 12-03-2017, 02:15 PM RE: HP calcs are really not that accurate.. - SlideRule - 12-03-2017, 08:15 PM RE: HP calcs are really not that accurate.. - ttw - 12-03-2017, 11:39 PM RE: HP calcs are really not that accurate.. - AlexFekken - 12-04-2017, 12:00 AM RE: HP calcs are really not that accurate.. - ttw - 12-04-2017, 01:22 AM RE: HP calcs are really not that accurate.. - AlexFekken - 12-04-2017, 02:06 AM RE: HP calcs are really not that accurate.. - Thomas Okken - 12-04-2017, 02:16 AM RE: HP calcs are really not that accurate.. - AlexFekken - 12-04-2017, 02:24 AM RE: HP calcs are really not that accurate.. - Thomas Okken - 12-04-2017, 02:38 AM RE: HP calcs are really not that accurate.. - AlexFekken - 12-04-2017, 02:56 AM RE: HP calcs are really not that accurate.. - ttw - 12-04-2017 09:05 AM RE: HP calcs are really not that accurate.. - AlexFekken - 12-04-2017, 09:39 AM RE: HP calcs are really not that accurate.. - DA74254 - 12-15-2017, 03:28 PM

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