On the matrices related to the \(m\)-arithmetic triangle

DOI10.1016/j.laa.2009.07.006zbMath1195.15032OpenAlexW2045213792MaRDI QIDQ1044586

S. Navid Salehy, S. Nima Salehy, Seyed Majid Hosseini Pooya, Ali Reza Moghaddamfar

Publication date: 18 December 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.07.006

zbMATH Keywords

determinantsinverse matrixPascal's triangle\(m\)-arithmetic triangleLU-factorisation

Mathematics Subject Classification ID

Factorization of matrices (15A23) Theory of matrix inversion and generalized inverses (15A09) Determinants, permanents, traces, other special matrix functions (15A15) Matrices of integers (15B36) Matrices, determinants in number theory (11C20)

Related Items (3)

On an arithmetic triangle of numbers arising from inverses of analytic functions ⋮ The determinants of matrices constructed by subdiagonal, main diagonal and superdiagonal ⋮ On some results concerning generalized arithmetic triangles

Cites Work

• Determinants of matrices related to the Pascal triangle
• Advanced determinant calculus: a complement
• Pascal Matrices
• The linear algebra of the generalized Pascal matrix
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