An algorithm for constructing multidimensional continued fractions and linear dependence of numbers
- Authors: Borodina E.B.1
-
Affiliations:
- Lomonosov Moscow State University
- Issue: Vol 99, No 1-2 (2016)
- Pages: 37-45
- Section: Article
- URL: https://journal-vniispk.ru/0001-4346/article/view/149058
- DOI: https://doi.org/10.1134/S0001434616010041
- ID: 149058
Cite item
Abstract
The Güting algorithm for constructing multidimensional continued fractions is considered. It is proved that, in the case of dimension 2, this algorithm can be used to find the coefficients of the linear dependence of numbers; a criterion is given for verifying that the partial quotients furnished by the algorithmare, indeed, elements of the continued fraction for the expanded (generally irrational) numbers.
About the authors
E. B. Borodina
Lomonosov Moscow State University
Author for correspondence.
Email: eb.borodina@gmail.com
Russian Federation, Moscow
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