130835 20241125101158.0 doi 10.1016/j.laa.2023.10.026 sideral 136692 ART-2023-136692 eng Mainar, E. Universidad de Zaragoza (orcid)0000-0002-1101-6230 Accurate bidiagonal factorization of quantum Hilbert matrices 2023 Access copy available to the general public Unrestricted A bidiagonal decomposition of quantum Hilbert matrices is obtained and the total positivity of these matrices is proved. This factorization is used to get accurate algebraic computations with these matrices. The numerical errors due to imprecise computer arithmetic or perturbed input data in the computation of the factorization are analyzed. Numerical experiments show the accuracy of the proposed methods. info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 1.0 2023 MATHEMATICS 117 / 490 = 0.239 2023 Q1 T1 MATHEMATICS, APPLIED 181 / 332 = 0.545 2023 Q3 T2 0.837 2023 Algebra and Number Theory 2023 Q1 Discrete Mathematics and Combinatorics 2023 Q1 Geometry and Topology 2023 Q2 Numerical Analysis 2023 Q2 2.2 2023 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 681 (2023), 131-149 Linear algebra appl. LINEAR ALGEBRA AND ITS APPLICATIONS 0024-3795 724006 http://zaguan.unizar.es/record/130835/files/texto_completo.pdf Versión publicada 1122299 http://zaguan.unizar.es/record/130835/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:130835 articulos driver 2024-11-22-12:10:08 ARTICLE