CONVERGENCE OF DAVID’S 2-DIMENSIONAL CONTINUED FRACTION

摘要

In 1949 and 1950, two papers by M. David on modifications of the Jacobi algorithm appeared. In a recent paper of Schweiger some comments were made on the periodicity problem. Here a proof of convergence (with one notable exception) is given. The underlying map of the algorithm is ergodic and admits an absolutely continuous invariant measure.