Hi smichr and all, Thank you for your quick response. Does that mean that the method 'refine_root()' of class 'Poly' is not capable of finding isolation intervals for all real roots of an arbitrary polynomial? If so, this would, unfortunately, render the method 'refine_root()' useless for my application.
Maybe I should say a few more words about what I need. Given a set of polynomials, I need a list of all real roots of all polynomials in the set ordered by value. I don't need a good rational or floating point approximation of the roots, but I need the ordering of the roots to be 100% correct for any thinkable set of polynomials (of a predefined maximum degree and for integer coefficients). I think, an implementation that gives me an ordering of the roots which is guaranteed to be correct with the lowest computational complexity would solve my problem best. 'refine_root()' seemed to me to be perfectly suited for this purpose because I only refine a root until there is no overlap of the isolation interval with any of the other roots isolation intervals anymore. Any (alternative) way of solving my problem using sympy is highly appreciated! Would it be possible (and make sense) to extend the 'refine_root()' method of class Poly in order to guarantee that it always produces a refined interval for an arbitrary real root of an arbitrary polynomial? If yes, would it require a big effort to implement it? Unfortunately, I am not familiar with the concepts used in the implementation of 'refine_root()'. But I would be happy if someone could point me to some literature to these concepts so I can maybe contribute in improving 'refine_root()'. Thank you for your help! Best regards, Heiner -- You received this message because you are subscribed to the Google Groups "sympy" group. To unsubscribe from this group and stop receiving emails from it, send an email to sympy+unsubscr...@googlegroups.com. To post to this group, send email to sympy@googlegroups.com. Visit this group at http://groups.google.com/group/sympy. For more options, visit https://groups.google.com/groups/opt_out.
