A NONSYMMETRICAL MATRIX AND ITS FACTORIZATIONS

ARIKAN T., KILIÇ E., Prodinger H.

MATHEMATICA SLOVACA, cilt.69, sa.4, ss.753-762, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 69 Sayı: 4
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1515/ms-2017-0266
  • Dergi Adı: MATHEMATICA SLOVACA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.753-762
  • Hacettepe Üniversitesi Adresli: Evet

Özet

We introduce a nonsymmetric matrix defined by q-integers. Explicit formul ae are derived for its LU-decomposition, the inverse matrices L-1 and U-1 and its inverse. Nonsymmetric variants of the Filbert and Lilbert matrices come out as consequences of our results for special choices of q and parameters. The approach consists of guessing the relevant quantities and proving them later by traditional means.