132850 20260217205507.0 doi 10.1002/nla.2550 sideral 137693 ART-2024-137693 eng Mainar, E. Universidad de Zaragoza (orcid)0000-0002-1101-6230 Total positivity and high relative accuracy for several classes of Hankel matrices 2024 Access copy available to the general public Unrestricted Gramian matrices with respect to inner products defined for Hilbert spaces supported on bounded and unbounded intervals are represented through a bidiagonal factorization. It is proved that the considered matrices are strictly totally positive Hankel matrices and their catalecticant determinants are also calculated. Using the proposed representation, the numerical resolution of linear algebra problems with these matrices can be achieved to high relative accuracy. Numerical experiments are provided, and they illustrate the excellent results obtained when applying the theoretical results. 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-nc-nd https://creativecommons.org/licenses/by-nc-nd/4.0/deed.es 2.1 2024 MATHEMATICS, APPLIED 57 / 344 = 0.166 2024 Q1 T1 MATHEMATICS 32 / 492 = 0.065 2024 Q1 T1 0.757 2024 Algebra and Number Theory 2024 Q1 Applied Mathematics 2024 Q2 3.4 2024 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peña, J. M. Universidad de Zaragoza (orcid)0000-0002-1340-0666 Rubio, B. Universidad de Zaragoza (orcid)0000-0001-9130-0794 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 31, 4 (2024), e2550 [21 pp.] Numer. linear algebra appl. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 1070-5325 2384201 http://zaguan.unizar.es/record/132850/files/texto_completo.pdf Versión publicada 1770473 http://zaguan.unizar.es/record/132850/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:132850 articulos driver 2026-02-17-20:23:56 ARTICLE