Heads up for a hot new root seeking algorithm!!
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01-26-2017, 08:21 PM
(This post was last modified: 01-26-2017 08:30 PM by emece67.)
Post: #27
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RE: Heads up for a hot new root seeking algorithm!!
These are my findings so far.
Legend:
COC is rounded to the nearest integer, except for the \(x^6-1\) case. Derivatives are always computed by means of the analytical expressions for them (not approximated with differences). The Potra-Ptak method is a 3rd order method requiring two evaluations for f(x) and one for its derivative. The Kung-Traub method is the 8th order one. Although I expected bigger differences between different methods, the Ostrowsky-Traub method seems a winner to me. Regards. |
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