Work

Accurate computations with Riordan arrays associated with Schröder matrices

Year: 2026

Type: book-chapter

Abstract: 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.

Source: CALCOLO

DOI: 10.1007/s10092-026-00692-1

Authors: Jorge Ballarín, Jorge Delgado, Juan Manuel Peña

Institution: Universidad de Zaragoza

Language: English

Topic: Matrix Theory and Algorithms

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funders: Ministerio de Ciencia, Innovación y Universidades, Universidad de Zaragoza, Gobierno de Aragón, Agencia Estatal de Investigación