New asymmetric generalizations of the Filbert and Lilbert matrices

Kilic E., KOPARAL S., ÖMÜR N.

PERIODICA MATHEMATICA HUNGARICA, cilt.78, sa.2, ss.231-241, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 78 Sayı: 2
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1007/s10998-018-0253-0
  • Dergi Adı: PERIODICA MATHEMATICA HUNGARICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.231-241
  • Anahtar Kelimeler: Filbert matrix, Fibonacci and Lucas numbers, q-analogues, LU-decomposition, DETERMINANT
  • Bursa Uludağ Üniversitesi Adresli: Hayır

Özet

Two new asymmetric generalizations of the Filbert and Lilbert matrices constructed by the products of two Fibonacci and Lucas numbers are considered, with additional parameter settings. Explicit formulae are derived for their LU-decompositions and inverses.