A general formula for determinants and inverses of r-circulant matrices with third order recurrences
Emrullah Kirklar, Fatih Yilmaz
TL;DR
This paper derives a general formula for calculating determinants and inverses of r-circulant matrices generated by third-order recurrence sequences, unifying many previous results in the literature.
Contribution
It introduces a comprehensive formula for r-circulant matrices with third-order recurrences, extending and unifying existing results.
Findings
Provides explicit formulas for determinants and inverses
Unifies various special cases in the literature
Enhances understanding of r-circulant matrices with third-order recurrences
Abstract
This note provides formula for determinant and inverse of r-circulant matrices with general sequences of third order. In other words, the study combines many papers in the literature.
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