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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… Click to show full abstract
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 α̂$$ \widehat{\alpha} $$ = (α1, . . . , αd, 1) is an eigenvector. A multidimensional generalization of the Lagrange theorem is proved.
Keywords:
algebraic numbers;
simplex module;
algorithm expansion;
module algorithm;
numbers multidimensional;
expansion algebraic
Journal Title: Journal of Mathematical Sciences
Year Published: 2017
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Journal Title: Journal of Mathematical Sciences
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!