Heads up for a hot new root seeking algorithm!!

01172017, 10:42 PM
Post: #7




RE: Heads up for a hot new root seeking algorithm!!
(01172017 09:13 PM)JurgenRo Wrote: [quote='Namir' pid='66624' dateline='1484165132'] But again Namir, as you wrote "you think it is of 3rd order", but do you know for sure by means of a strict mathematical proof? Mathematics can't go without that ;) A modification of a 3rd order algorithm does not necessarily result in an algorithm of the same convergence behavior. Did you try to adopt the proves of Halley/Ostrowski to your new algorithm? This would indeed make your work complete! Juergen [/quote The new algorithm matches or slightly improve on Halley. Sicne Halley is third order, the new algorithm could not be second or fourth order. I am saying 3rd order by induction. Namir 

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