The cyclic groups via the Pascal matrices and the generalized Pascal matrices

DOI10.1016/j.laa.2012.06.024zbMath1262.05002OpenAlexW2081797926MaRDI QIDQ1758457

Ömür Deveci, Erdal Karaduman

Publication date: 9 November 2012

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2012.06.024

zbMATH Keywords

cyclic groupsymmetric matricesmultiplicative orderupper triangular matriceslower triangular matricesPascal matrix

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Matrices of integers (15B36) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (9)

On the \(2k\)-step Jordan-Fibonacci sequence ⋮ An application of the \(t\)-extension of the \(p\)-Fibonacci Pascal matrix in coding theory ⋮ A proof of two conjectures of Deveci and Karaduman ⋮ The cyclic groups generated by Catalan matrices ⋮ On the arrowhead-Fibonacci numbers ⋮ On a conjecture of Deveci and Karaduman ⋮ The Fibonacci-circulant sequences and their applications ⋮ THE DIHEDRAL-TYPE ADJACENCY SEQUENCES ⋮ On the Adjacency-Jacobsthal numbers

Cites Work

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• The linear algebra of the Pascal matrix
• THE GENERALIZED PASCAL MATRIX VIA THE GENERALIZED FIBONACCI MATRIX AND THE GENERALIZED PELL MATRIX
• Unified Pascal Matrix for First-Order $s{\hbox{–}}z$ Domain Transformations
• Pascal's Matrices
• Stirling matrix via Pascal matrix
• The linear algebra of the generalized Pascal matrix

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