150668 20251017144640.0 doi 10.3390/math13020303 sideral 142706 ART-2025-142706 eng Delgado, Jorge Universidad de Zaragoza (orcid)0000-0003-2156-9856 Accurate Computations with Generalized Pascal k-Eliminated Functional Matrices 2025 Access copy available to the general public Unrestricted This paper presents an accurate method to obtain the bidiagonal decomposition of some generalized Pascal matrices, including Pascal k-eliminated functional matrices and Pascal symmetric functional matrices. Sufficient conditions to assure that these matrices are either totally positive or inverse of totally positive matrices are provided. In these cases, the presented method can be used to compute their eigenvalues, singular values and inverses with high relative accuracy. Numerical examples illustrate the high accuracy of our approach. info:eu-repo/grantAgreement/ES/DGA/E41-23R info:eu-repo/grantAgreement/ES/MCIU/PID2022-138569NB-I00 info:eu-repo/grantAgreement/ES/MCIU/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 Orera, Héctor Universidad de Zaragoza (orcid)0000-0002-4794-5875 Peña, Juan Manuel Universidad de Zaragoza (orcid)0000-0002-1340-0666 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 13, 2 (2025), 303 [14 pp.] Mathematics (Basel) Mathematics 2227-7390 1068927 http://zaguan.unizar.es/record/150668/files/texto_completo.pdf Versión publicada 2481753 http://zaguan.unizar.es/record/150668/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:150668 articulos driver 2025-10-17-14:31:21 ARTICLE