Email this article Localized Pisot Matrices and Joint Approximations of Algebraic Numbers
- Authors: Zhuravlev V.G.1
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Affiliations:
- Vladimir State University
- Issue: Vol 234, No 5 (2018)
- Pages: 659-679
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241970
- DOI: https://doi.org/10.1007/s10958-018-4035-2
- ID: 241970
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Abstract
A development of the simplex-module algorithm for expansion of algebraic numbers in multidimensional continued fractions is proposed. To this end, localized Pisot matrices are constructed, whose eigenvalues with moduli less than one are contained in an interval of small length. Such Pisot matrices generate continued fractions whose convergents are arbitrarily close to the best approximations.
About the authors
V. G. Zhuravlev
Vladimir State University
Author for correspondence.
Email: vzhuravlev@mail.ru
Russian Federation, Vladimir
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