Midpoint criteria for solving Pell's equation using the nearest square continued fraction

We derive midpoint criteria for solving Pell's equation x-Dy = ±1, using the nearest square continued fraction expansion of √D. The period of the expansion is on average 70% that of the regular continued fraction. We derive similar criteria for the diophantine equation x - xy - (D-1) 4 y = ±1, where D ≡ 1 (mod 4). We also present some numerical results and conclude with a comparison of the computational performance of the regular, nearest square and nearest integer continued fraction algorithms

Brisbane College of Advanced Education: Handbook 1987

The Brisbane College of Advanced Education handbook gives an outline of the faculties and subject offerings available that were offered by Carseldine and Kedron Park Campuses

Brisbane College of Advanced Education: Handbook 1988

The Brisbane College of Advanced Education handbook gives an outline of the faculties and subject offerings available that were offered by Carseldine and Kedron Park Campuses