New asymmetric generalizations of the Filbert and Lilbert matrices

Kilic E., KOPARAL S., ÖMÜR N.

PERIODICA MATHEMATICA HUNGARICA, vol.78, no.2, pp.231-241, 2019 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 78 Issue: 2
  • Publication Date: 2019
  • Doi Number: 10.1007/s10998-018-0253-0
  • Journal Name: PERIODICA MATHEMATICA HUNGARICA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.231-241
  • Keywords: Filbert matrix, Fibonacci and Lucas numbers, q-analogues, LU-decomposition, DETERMINANT
  • Bursa Uludag University Affiliated: No

Abstract

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.