Enviar artigo por via de e-mail Simplex-Module Algorithm for Expansion of Algebraic Numbers in Multidimensional Continued Fractions
- Autores: Zhuravlev V.1
-
Afiliações:
- V. A. Steklov Mathematical Institute of the Russian Academy of Sciences
- Edição: Volume 225, Nº 6 (2017)
- Páginas: 924-949
- Seção: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/239867
- DOI: https://doi.org/10.1007/s10958-017-3506-1
- ID: 239867
Citar
Acesso aberto
Acesso está concedido
Somente assinantes
Resumo
The simplex-module algorithm for expansion of algebraic numbers α = (α1, . . . , αd) in multidimensional continued fractions is suggested. The method is based on minimal rational simplices s, where α ∈ s, and Pisot matrices Pα, for which \( \widehat{\alpha} \) = (α1, . . . , αd, 1) is an eigenvector. A multidimensional generalization of the Lagrange theorem is proved.
Sobre autores
V. Zhuravlev
V. A. Steklov Mathematical Institute of the Russian Academy of Sciences
Autor responsável pela correspondência
Email: vzhuravlev@mail.ru
Rússia, Moscow
