A note on the Jacobi-Perron algorithm

Theresa Phillips Vaughan

Vol. 72 (1977), No. 1, 261–271

DOI: 10.2140/pjm.1977.72.261

Abstract

In this paper we give a simple geometric description of the Jacobi-Perron algorithm, based on the matrix-theoretic approach to the algorithm. An important advantage of the geometric description is that it may be used as an aid to intuition as well as a practical tool. As an illustration, we prove convergence for a special case.

Mathematical Subject Classification

Primary: 10A99, 10A99

Milestones

Received: 18 February 1977

Revised: 18 April 1977

Published: 1 September 1977