Matrix methods for determinants of Pascal-like matrices

DOI10.1016/j.laa.2019.04.023zbMath1416.05042OpenAlexW2941190354WikidataQ128026151 ScholiaQ128026151MaRDI QIDQ2002693

De-Yin Zheng

Publication date: 12 July 2019

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

Full work available at URL: https://doi.org/10.1016/j.laa.2019.04.023

zbMATH Keywords

determinanttridiagonal matrixPascal matrixLDU-factorizationbivariate recurrent sequence

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Determinants, permanents, traces, other special matrix functions (15A15) Matrices, determinants in number theory (11C20)

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Cites Work

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• Pascal-like determinants are recursive
• The determinants of matrices with recursive entries
• Advanced determinant calculus
• Determinants of matrices related to the Pascal triangle
• Evaluations of some determinants of matrices related to the Pascal triangle
• Determinant representations of sequences: a survey
• Advanced determinant calculus: a complement
• Generalized Pascal triangles and Toeplitz matrices
• The linear algebra of the generalized Pascal matrix