000130835 001__ 130835 000130835 005__ 20240131210811.0 000130835 0247_ $$2doi$$a10.1016/j.laa.2023.10.026 000130835 0248_ $$2sideral$$a136692 000130835 037__ $$aART-2023-136692 000130835 041__ $$aeng 000130835 100__ $$0(orcid)0000-0002-1101-6230$$aMainar, E.$$uUniversidad de Zaragoza 000130835 245__ $$aAccurate bidiagonal factorization of quantum Hilbert matrices 000130835 260__ $$c2023 000130835 5060_ $$aAccess copy available to the general public$$fUnrestricted 000130835 5203_ $$aA 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. 000130835 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/ 000130835 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000130835 700__ $$0(orcid)0000-0002-1340-0666$$aPeña, J.M.$$uUniversidad de Zaragoza 000130835 700__ $$0(orcid)0000-0001-9130-0794$$aRubio, B.$$uUniversidad de Zaragoza 000130835 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada 000130835 773__ $$g681 (2023), 131-149$$pLinear algebra appl.$$tLINEAR ALGEBRA AND ITS APPLICATIONS$$x0024-3795 000130835 8564_ $$s724006$$uhttps://zaguan.unizar.es/record/130835/files/texto_completo.pdf$$yVersión publicada 000130835 8564_ $$s1122299$$uhttps://zaguan.unizar.es/record/130835/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000130835 909CO $$ooai:zaguan.unizar.es:130835$$particulos$$pdriver 000130835 951__ $$a2024-01-31-19:24:44 000130835 980__ $$aARTICLE