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A matricial view of the Collatz conjecture.
- Source :
-
Linear Algebra & its Applications . Aug2024, Vol. 695, p163-167. 5p. - Publication Year :
- 2024
-
Abstract
- It is shown that the nilpotency of submatrices of a certain class of adjacency matrices is equivalent to the Collatz conjecture. Our main result extends the previous work of Alves et al. and clarifies a conjecture made by Cardon and Tuckfield. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LOGICAL prediction
Subjects
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 695
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 177421781
- Full Text :
- https://doi.org/10.1016/j.laa.2024.05.003