Generalized Pisot Numbers and Matrix Decomposition

DOI10.1007/978-3-319-40673-2_5zbMath1371.11120OpenAlexW2516083643MaRDI QIDQ2977713

Valentina N. Soboleva, Dmitrii K. Sobolev, I. N. Balaba, N. N. Dobrovol'skii, N. M. Dobrovol'skij, I. Yu. Rebrova

Publication date: 19 April 2017

Published in: Advances in Dynamical Systems and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-40673-2_5

zbMATH Keywords

linear transformationLagrange algorithmgeneralised Pisot numbers

Mathematics Subject Classification ID

Factorization of matrices (15A23) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

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Cites Work

• A generalization of the algorithm for continued fractions related to the algorithm of Viggo Brunn
• Continued fractions, the group GL(2, ℤ), and Pisot numbers
• Algebraic Theory of Numbers
• Rational approximations to algebraic numbers
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