SavedAdd your journal

Journals / Mathematical Sciences and Applications E-Notes / 2019 / Cilt: 7 - Sayı: 1

A General Formula for Determinants and Inverses of r-circulant Matrices with Third Order Recurrences

Emrullah KIRKLAR
Fatih YILMAZ
Pages
1–8
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

This note provides formula for determinant and inverse of r-circulant matrices with general sequences of

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This note provides formula for determinant and inverse of r-circulant matrices with general sequences of
📊
Key Findings & Data:This note provides formula for determinant and inverse of r-circulant matrices with general sequences of
💡
Conclusion & Impact:This note provides formula for determinant and inverse of r-circulant matrices with general sequences of
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:r-circulant · determinant · matrix inverse

Abstract

This note provides formula for determinant and inverse of r-circulant matrices with general sequences of

🔖

Cite This Article

KIRKLAR, E., YILMAZ, F. (2019). A General Formula for Determinants and Inverses of r-circulant Matrices with Third Order Recurrences. Mathematical Sciences and Applications E-Notes, Cilt: 7 - Sayı: 1, 1–8. https://ajindex.com/articles/283488

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (11)

  1. Shen, S. and Cen, J., On the bounds for the norms of r-circulant matrices with the Fibonacci and Lucas numbers, Applied Mathematics and Computation, 216 (2010) 2891–2897
  2. Shen, S.Q., Cen, J.M. and Hao, Y., On the determinants and inverses of circulant matrices with Fibonacci and Lucas numbers, Appl. Math. Comput. 217 (2011), no.23, 9790-9797
  3. Bozkurt, D. and Tam, T.Y., Determinants and Inverses of circulant matrices with Jacobsthal and Jacobsthal-Lucas numbers, Appl. Math. Comput. 219 (2012), no.2, 544-551
  4. Bozkurt, D. and Tam, T.Y., Determinants and inverses of r-circulant matrices associated with a number sequence, Linear and Multilinear Algebra, 2015, Vol. 63, No. 10, 2079–2088
  5. Yazlik, Y. and Taskara, N., On the inverse of circulant matrix via generalized k-Horadam numbers, Applied Mathematics and Computation, 223 (2013) 191–196
  6. Davis, P.J., Circulant Matrices, Wiley, NewYork, 1979
  7. Jiang, Z.L. and Zhou, Z.X., Circulant Matrices, Chengdu Technology University Publishing Company, Chengdu, 1999
  8. Liu, L. and Jiang, Z., Explicit Form of the Inverse Matrices of Tribonacci Circulant Type Matrices, Abstract and Applied Analysis, 2015, Article ID 169726
  9. Bozkurt, D., Da Fonseca, C.M. and Yılmaz, F., The determinants of circulant and skew-circulant matrices with Tribonacci numbers, Mathematical Sciences And Applications E-Notes, Volume 2 No. 2 pp. 67–75 (2014)
  10. Zhao, G., The improved nonsingularity on the r-circulant matrices in signal processing, International Conference on Computer Technology and Development - ICCTD 2009, Kota Kinabalu, 564-567
  11. Bozkurt, D. and Yılmaz, F., On the determinants and inverses of circulant matrices with Pell and Pell-Lucas numbers, http://arxiv.org/pdf/1201.6061v1.pdf, 2012.