Year: 2025
Type: preprint
Abstract: We generalize the solution of linear recurrence relations from fields to central division algebras, adapting the standard tools of companion matrices and characteristic polynomials to the non-commutative setting. We then solve linear recurrences of order 2 over octonion division algebras.
Source: arXiv (Cornell University)
Authors: Chapman, Adam, Vishkautsan, Solomon
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4415255229
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