Generalized inverses and the total stopping times of collatz sequences

DOI10.1080/03081080108818688zbMath0990.15005OpenAlexW2052907969MaRDI QIDQ2756159

Roger E. Zarnowski

Publication date: 25 July 2002

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

Full work available at URL: https://doi.org/10.1080/03081080108818688

zbMATH Keywords

Drazin inverseMarkov chaingeneralized inversegroup inversestopping times\(3n+1\) problemCollatz sequence

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Special sequences and polynomials (11B83) Matrices of integers (15B36)

Related Items (3)

Faithfully ⋆-representing semigroups and groupoids with involution by infinite matrices ⋮ Generalized inverses of an invertible infinite matrix ⋮ Moore–Penrose inverse of an invertible infinite matrix

Cites Work

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• The dynamical system generated by the \(3n+1\) function
• Pseudo-Inverses in Associative Rings and Semigroups
• The 3x + 1 Problem and Its Generalizations
• The Role of the Group Generalized Inverse in the Theory of Finite Markov Chains
• The Drazin Inverse of an Infinite Matrix
• Maximum excursion and stopping time record-holders for the problem: Computational results
• A generalized Drazin inverse
• Representation Theory for Denumerable Markov Chains

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