doi:10.1016/j.laa.2023.10.026engMainar, E.Peña, J.M.Rubio, B.Accurate bidiagonal factorization of quantum Hilbert matricesART-2023-136692A 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.2023http://zaguan.unizar.es/record/13083510.1016/j.laa.2023.10.026http://zaguan.unizar.es/record/130835oai:zaguan.unizar.es:130835LINEAR ALGEBRA AND ITS APPLICATIONS 681 (2023), 131-149by-nc-ndhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccess