The Jacobi-Perron algorithm in integer form
Michael D. Hendy, Neville Stuart Jeans · Mathematics of Computation · 1981
We present an alternative expression of the Jacobi-Perron algorithm on a set of n − 1 n - 1 independent numbers of an algebraic number field of degree n , where computation of real valued (nonrational) numbers is avoided. In some instances this saves the need to compute with high levels of precision. We also demonstrate a necessary and sufficient condition for the algorithm to cycle. The paper is accompanied by several numerical examples.