Matrix sequences associated with the Ducci map and the mediant construction of the rationals

DOI10.1016/j.laa.2012.02.010zbMath1278.15042OpenAlexW2018027582MaRDI QIDQ417591

Kirsten Hogenson, Shannon Negaard, Ryan J. Zerr

Publication date: 14 May 2012

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2012.02.010

zbMATH Keywords

Stern-Brocot treeDucci matrix sequencesmediants of rational numbers

Mathematics Subject Classification ID

Special sequences and polynomials (11B83) Matrices of integers (15B36) Special matrices (15B99)

Related Items (6)

Ducci sequences of triples and continued fractions ⋮ Stern-Brocot tree and Ducci map ⋮ On the circulant matrices with Ducci sequences and Fibonacci numbers ⋮ The quadratic irrationals and Ducci matrix sequences ⋮ Reversing the paths in the Ducci tree ⋮ Some properties of circulant matrices with Ducci sequences

Cites Work

• Limiting behavior in Ducci sequences
• The length of Ducci's four-number game
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