Riordan-Krylov matrices over an algebra

DOI10.1016/j.laa.2021.11.015zbMath1482.15025OpenAlexW3216310927MaRDI QIDQ2069863

Bryan A. Curtis, Gi-Sang Cheon, Bryan L. Shader

Publication date: 21 January 2022

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

Full work available at URL: https://doi.org/10.1016/j.laa.2021.11.015

zbMATH Keywords

incidence matrixsemigroup algebrachain and multichain polynomialsRiordan-Krylov matrices

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Algebraic aspects of posets (06A11)

Cites Work

• A new aspect of Riordan arrays via Krylov matrices
• Zeta polynomials and the Möbius function
• The Riordan group
• A matrix for counting paths in acyclic digraphs
• Cayley posets
• Riordan graphs I: structural properties
• Finite and infinite dimensional Lie group structures on Riordan groups
• On Some Alternative Characterizations of Riordan Arrays
• Combinatorial reciprocity theorems
• The linear algebra of the generalized Pascal matrix
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