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Published January 1, 2019 | Version v1
Journal article Open

A NONSYMMETRICAL MATRIX AND ITS FACTORIZATIONS

Creators

  • 1. Hacettepe Univ, Dept Math, TR-06800 Ankara, Turkey
  • 2. TOBB Econ & Technol Univ, Dept Math, TR-06800 Ankara, Turkey
  • 3. Univ Stellenbosch, Dept Math, ZA-7602 Stellenbosch, South Africa

Description

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.

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