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KIAM Preprint  88, Moscow, 2008
Authors: Parusnikov V. I.
Continued Fractions by the Nearest Even Number. The short type
In the preprint Continued fractions by the nearest even number, we propose a new type of one-dimensional continued fractions. It has many properties of the classic continued fractions: convergence, uniqueness of expansion, periodicity for quadratic irrationalities. But they converge very slow. Here we propose a fast (short) type of even continued fractions. The modied algorithm allows to replace a sequence of similar parts of even continued fraction by one linear fractional transformation.
Publication language: russian, pages: 12
Research direction:
Mathematical problems and theory of numerical methods
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