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In this paper, we present variants of the generalized Filbert and Lilbert matrices by products of the general Fibonacci and Lucas numbers whose indices are in certain nonlinear forms of… Click to show full abstract
In this paper, we present variants of the generalized Filbert and Lilbert matrices by products of the general Fibonacci and Lucas numbers whose indices are in certain nonlinear forms of the indices with certain integer parameters. We derive explicit formulae for inverse matrix, LU -decomposition and inverse matrices L −1 and U −1 for all matrices. Generally, we present q -versions of these matrices and their related results.
Keywords:
variants generalized;
generalized filbert;
lilbert matrices;
filbert lilbert;
nonlinear variants
Journal Title: Turkish Journal of Mathematics
Year Published: 2020
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Journal Title: Turkish Journal of Mathematics
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!