求整首一多项式最大实根的“置换序列”法
A `replacement sequence' method for finding the largest real root of an integer monic polynomial
摘要：
对于每一个m次的整数首一多项式，可以关联一个“替换规则”，该规则从由属于大小为2 m的有限“字母表”的符号组成的另一个词W生成词W*。这个规则迭代地应用于几乎任何初始单词Wo，产生单词序列{Wi}。根据字Wi中不同符号的数量，可以得到多项式的最大实根的有理逼近。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
