The generalized Lilbert matrix |
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| Authors: | Emrah Kılıç Helmut Prodinger |
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| Affiliation: | 1.TOBB University of Economics and Technology Mathematics Department,Ankara,Turkey;2.Department of Mathematics,University of Stellenbosch,Stellenbosch,South Africa |
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| Abstract: | ![]()
We introduce a generalized Lilbert [Lucas-Hilbert] matrix. Explicit formulæ are derived for the LU-decomposition and their inverses, as well as the Cholesky decomposition. The approach is to use q-analysis and to leave the justification of the necessary identities to the q-version of Zeilberger’s celebrated algorithm. |
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