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ON THE OPTIMAL CONTINUED FRACTION EXPANSION OF A QUADRATIC SURD
Published online by Cambridge University Press: 07 February 2013
Abstract
We describe the period structure of the optimal continued fraction expansion of a quadratic surd, in terms of the period of its nearest square continued fraction expansion. The analysis results in a faster algorithm for determining the optimal continued fraction expansion of a quadratic surd.
MSC classification
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 93 , Issue 1-2 , October 2012 , pp. 133 - 156
- Copyright
- Copyright ©2013 Australian Mathematical Publishing Association Inc.