Some inverse limit approaches to the Riordan group

DOI10.1016/j.laa.2015.07.028zbMath1330.05029OpenAlexW1085432412MaRDI QIDQ5962487

L. Felipe Prieto-Martinez, Manuel Alonso-Morón, Donatella Merlini, Renzo Sprugnoli, Ana Luzón

Publication date: 12 February 2016

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

Full work available at URL: https://doi.org/10.1016/j.laa.2015.07.028

zbMATH Keywords

dualinverse limitcomplementaryeven-symmetric matricesodd-symmetric matricesRiordan group

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30)

Related Items (13)

Unnamed Item ⋮ Double parameter recurrences for polynomials in bi-infinite Riordan matrices and some derived identities ⋮ Profiles of ordered trees with mutation and associated Riordan matrices ⋮ Finite and infinite dimensional Lie group structures on Riordan groups ⋮ A formula to construct all involutions in Riordan matrix groups ⋮ Left multiplication operators on the Riordan group ⋮ Commutators and commutator subgroups of the Riordan group ⋮ Characteristic curves and the exponentiation in the Riordan Lie group: a connection through examples ⋮ Functions and Jordan canonical forms of Riordan matrices ⋮ Geometric continuity of plane curves in terms of Riordan matrices and an application to the \(F\)-chordal problem ⋮ Riordan arrays and related polynomial sequences ⋮ A new aspect of Riordan arrays via Krylov matrices ⋮ The group generated by Riordan involutions

Cites Work

• Unnamed Item
• Unnamed Item
• Combinatorial sums through Riordan arrays
• Structural properties of Riordan matrices and extending the matrices
• Iterative processes related to Riordan arrays: the reciprocation and the inversion of power series
• Identities induced by Riordan arrays
• Ultrametrics, Banach's fixed point theorem and the Riordan group
• Riordan matrices in the reciprocation of quadratic polynomials
• Pascal triangles, Catalan numbers and renewal arrays
• Complementary Riordan arrays
• On Some Alternative Characterizations of Riordan Arrays

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