Heads up for a hot new root seeking algorithm!!

01202017, 08:59 AM
Post: #18




RE: Heads up for a hot new root seeking algorithm!!
(01202017 01:24 AM)Namir Wrote: My own perception is that the efficiency index is a qualitative indicator that gives you a general idea about the convergence rate. I doubt there exists a general formula for what I am asking above. That's also my perception. Regarding your question, seeing that algorithms can behave very differently (even with different orders of convergence) upon different functions and even around different roots of the same function, I also doubt that there's a way to ascertain the required number of iterations for a given algorithm to converge to a given root of a given function. I think that what we can do is to build tables such that given here http://article.sapub.org/10.5923.j.ajcam...01.03.html in order to "have a feeling" about the behaviour of an algorithm compared to others. Regards. 

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