The linear algebra of the generalized Pascal matrix with four variables

DOI10.1007/S40590-024-00678-5MaRDI QIDQ6636821

Morteza Bayat

Publication date: 12 November 2024

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

zbMATH Keywords

Pascal functional matrixPascal matrixLDU-decompositionleft justified Pascal matrix

Mathematics Subject Classification ID

Factorization of matrices (15A23) Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Eigenvalues, singular values, and eigenvectors (15A18) Matrices, determinants in number theory (11C20) Special matrices (15B99)

Cites Work

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• Generalized Pascal functional matrix and its applications
• Factorizations for \(q\)-Pascal matrices of two variables
• The linear algebra of the generalized Pascal functional matrix
• The linear algebra of the Pascal matrix
• An extension of the generalized Pascal matrix and its algebraic properties
• The algebraic properties of the generalized Pascal functional matrices associated with the exponential families
• Generalized Pascal k-eliminated functional matrix with 2n variables
• Pascal's Matrices
• The linear algebra of the generalized Pascal matrix
• The Pascal functional matrices with multidimensional binomial coefficients
• A unified approach to generalized Pascal-like matrices: \(q\)-analysis

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