A `replacement sequence' method for finding the largest real root of an integer monic polynomial

Details A `replacement sequence' method for finding the largest real root of an integer monic polynomial A `replacement sequence' method for finding the largest real root of an integer monic polynomial

1999-12-30

arxiv.org/abs/math/9912230v1

Mathematics

General Mathematics

4 pages, no figures

Scientific paper

To every integer monic polynomial of degree m can be associated a `replacement rule' that generates a word W* from another word W consisting of symbols belonging to a finite `alphabet' of size 2m. This rule applied iteratively on almost any initial word Wo, yields a sequence of words {Wi}. From acount of different symbols in the word Wi, one can obtain a rational approximate to the largest real root of the polynomial.

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