[R] Find zeros of analytic functions

Robin Hankin r.hankin at noc.soton.ac.uk
Mon Apr 16 14:32:52 CEST 2007

>> Dear Partecipants to the list,
>> I am Enrico Foscolo, a student of the Faculty of Statistics,  
>> University of Bologna,
>> and I am interested under consideration of the search of zeros of  
>> one function.
>> I would want to write a code using the software R.
>> I have already read the book "Computing the Zeros of Analytic  
>> Functions" (P. Kravanja and M. Van Barel, 2000) that speaks about  
>> this problem, computing a Fortran 90 code.
>> Consequently, I would want to ask You if:
>> - already exists a R code,
> I presume you mean analytic functions of a complex argument.  Few R
> packages use complex vectors, and none of those few do this to my
> knowledge.

If iterative methods are appropriate,
it's perhaps worth pointing out that Newton-Rapheson
works nicely for complex functions.

The "elliptic" package includes function newton.rapheson()
for this, in addition to other utilities for analyzing
complex functions.


Robin Hankin
Uncertainty Analyst
National Oceanography Centre, Southampton
European Way, Southampton SO14 3ZH, UK
  tel  023-8059-7743

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