LORENTZ MATRIX MULTIPLICATION: EXPLORING ITS RELATIONSHIP WITH FIBONACCI AND LUCAS NUMBERS

Çağlayan Ü., Gökcan İ., Değer A. H.

9th International Conference on Computational Mathematics and Engineering Sciences 17 – 19 May 2025, Diyarbakır – Türkiye, Diyarbakır, Türkiye, 17 Mayıs 2025, ss.67, (Özet Bildiri)

  • Yayın Türü: Bildiri / Özet Bildiri
  • Basıldığı Şehir: Diyarbakır
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.67
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

Abstract
This paper introduces new matrix representations of Fibonacci and Lucas numbers by using
Lorentz matrix multiplication. We present novel identities, characteristic equations, and
quadratic properties derived from Lorentzian transformations applied to traditional matrix
formulations of these sequences.
Keywords: Matrix multiplication, Fibonacci numbers, Lucas numbers.