Accurate computations with Riordan arrays associated with Schröder matrices

Ballarín, Jorge (Universidad de Zaragoza) ; Delgado, Jorge (Universidad de Zaragoza) ; Peña, Juan Manuel (Universidad de Zaragoza)

Resumen: Large and little Schröder matrices as well as with their inverses are triangular matrices arising in Combinatorics. Through their total positivity and bidiagonal decomposition it is shown that their singular values, inverses and some associated linear systems can be solved with high relative accuracy. Numerical experiments confirm the theoretical results.

Idioma: Inglés

DOI: 10.1007/s10092-026-00692-1

Año: 2026

Publicado en: CALCOLO 63, 2 (2026), [26 pp.]
ISSN: 0008-0624

Financiación: info:eu-repo/grantAgreement/ES/DGA/E41-23R
Financiación: info:eu-repo/grantAgreement/ES/MCIU/PID2022-138569NB-I00
Financiación: info:eu-repo/grantAgreement/ES/MCIU/RED2022-134176-T

Tipo y forma: Article (Published version)

Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)