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

Source: [A \`replacement sequence' method for finding the largest real root of an integer monic polynomial](<https://www.sota2.com/research/paper/68fa4d0d1e209131ce951aeb>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T09:07:30.010Z

Authors: A.K.Gupta, A.K.Mittal

Published: 1999-12-30T17:11:43.000Z

## Abstract

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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/math/9912230>)

[PDF](<https://arxiv.org/pdf/math/9912230.pdf>)