162689 20251017144558.0 doi 10.1007/s11075-025-02188-5 sideral 145344 ART-2025-145344 eng Khiar, Yasmina Universidad de Zaragoza (orcid)0000-0002-6497-7158 Accurate determinant computation of Cauchy-polynomial matrices 2025 Access copy available to the general public Unrestricted This paper investigates the factorization of Cauchy-polynomial matrices, a structured class that generalizes Cauchy-Vandermonde matrices by incorporating polynomial bases different from the monomial basis. We analyze the impact of different polynomial bases, including q-Bernstein, h-Bernstein, and Said-Ball polynomials, on numerical accuracy. A key focus is the derivation of formulas for their determinants, satisfying the No Inaccurate Cancellation condition and ensuring high relative accuracy. The sensitivity of the algorithm under deviations of the input data is analyzed, and an upper running error bound is provided. Theoretical findings are supported by numerical experiments, demonstrating the superior accuracy of the proposed determinant formulas compared to standard computational methods, even when perturbations are considered. info:eu-repo/grantAgreement/ES/DGA/E41-23R info:eu-repo/grantAgreement/ES/MCIU/PID2022-138569NB-I00 info:eu-repo/grantAgreement/ES/MICINN/RED2022-134176-T info:eu-repo/semantics/openAccess by https://creativecommons.org/licenses/by/4.0/deed.es info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Mainar, Esmeralda Universidad de Zaragoza (orcid)0000-0002-1101-6230 Peña, Juan Manuel Universidad de Zaragoza (orcid)0000-0002-1340-0666 Royo-Amondarain, Eduardo Universidad de Zaragoza (orcid)0000-0003-1550-8168 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada (2025), [20 pp.] Numer. algorithms NUMERICAL ALGORITHMS 1017-1398 358153 http://zaguan.unizar.es/record/162689/files/texto_completo.pdf Versión publicada 1060731 http://zaguan.unizar.es/record/162689/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:162689 articulos driver 2025-10-17-14:13:42 ARTICLE