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Journal of Mathematical Sciences

, Volume 234, Issue 5, pp 659–679 | Cite as

Localized Pisot Matrices and Joint Approximations of Algebraic Numbers

  • V. G. Zhuravlev
Article
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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.

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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Vladimir State UniversityVladimirRussia

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