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The generalized Lilbert matrix

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Publication:1677555
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DOI10.1007/s10998-016-0128-1zbMath1389.11045OpenAlexW2335851095MaRDI QIDQ1677555

Emrah Kılıç, Prodinger, Helmut

Publication date: 10 November 2017

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-016-0128-1


zbMATH Keywords

Fibonacci numbersCholesky decompositionZeilberger's algorithm\(LU\)-decompositionFilbert matrix\(q\)-AnaloguesLilbert matrixPilbert matrix


Mathematics Subject Classification ID

Factorization of matrices (15A23) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Toeplitz, Cauchy, and related matrices (15B05)


Related Items (4)

The inverse Filbert matrix ⋮ New analogues of the Filbert and Lilbert matrices via products of two k-tuples asymmetric entries ⋮ A nonlinear generalization of the Filbert matrix and its Lucas analogue ⋮ Nonlinear variants of the generalized Filbert and Lilbert matrices


Uses Software

  • qZeil


Cites Work

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  • The generalized q-Pilbert matrix
  • Asymmetric generalizations of the filbert matrix and variants
  • Theq-Pilbert matrix


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