A linear algebra approach to the conjecture of Collatz

DOI10.1016/j.laa.2004.07.008zbMath1116.11012OpenAlexW2027493779WikidataQ123287137 ScholiaQ123287137MaRDI QIDQ1765900

Xianqiang Yang

Publication date: 23 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.laa.2004.07.008

zbMATH Keywords

periodic orbitscongruencesrecurrencelinear Diophantine equationsiteration function

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Special sequences and polynomials (11B83) Dynamical systems involving maps of the interval (37E05)

Related Items (4)

Visualizing generalized \(3x+1\) function dynamics based on fractal ⋮ The Jordan canonical form for a class of zero-one matrices ⋮ A topological approach to the Ulam-Kakutani-Collatz conjecture ⋮ On the orbits associated with the Collatz conjecture

Cites Work

• The dynamical system generated by the \(3n+1\) function
• The 3x + 1 Problem and Its Generalizations
• Unnamed Item

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