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Licensed Unlicensed Requires Authentication Published by De Gruyter July 19, 2019

A nonsymmetrical matrix and its factorizations

Talha Arikan, Emrah Kiliç and Helmut Prodinger
From the journal Mathematica Slovaca


We introduce a nonsymmetric matrix defined by q-integers. Explicit formulæ 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.

  1. (Communicated by Milan Paštéka)


The first author gratefully acknowledges TÜBİTAK for the support BİDEB-2214-A during his visit at Stellenbosch University.


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Received: 2018-06-27
Accepted: 2018-11-28
Published Online: 2019-07-19
Published in Print: 2019-08-27

© 2019 Mathematical Institute Slovak Academy of Sciences