000132850 001__ 132850
000132850 005__ 20240315113108.0
000132850 0247_ $$2doi$$a10.1002/nla.2550
000132850 0248_ $$2sideral$$a137693
000132850 037__ $$aART-2024-137693
000132850 041__ $$aeng
000132850 100__ $$0(orcid)0000-0002-1101-6230$$aMainar, E.$$uUniversidad de Zaragoza
000132850 245__ $$aTotal positivity and high relative accuracy for several classes of Hankel matrices
000132850 260__ $$c2024
000132850 5060_ $$aAccess copy available to the general public$$fUnrestricted
000132850 5203_ $$aGramian 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.
000132850 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E41-23R$$9info:eu-repo/grantAgreement/ES/MCIU/PID2022-138569NB-I00$$9info:eu-repo/grantAgreement/ES/MCIU/RED2022-134176-T
000132850 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
000132850 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000132850 700__ $$0(orcid)0000-0002-1340-0666$$aPeña, J. M.$$uUniversidad de Zaragoza
000132850 700__ $$0(orcid)0000-0001-9130-0794$$aRubio, B.$$uUniversidad de Zaragoza
000132850 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000132850 773__ $$g(2024), e2550 [21 pp.]$$pNumer. linear algebra appl.$$tNUMERICAL LINEAR ALGEBRA WITH APPLICATIONS$$x1070-5325
000132850 8564_ $$s2384201$$uhttps://zaguan.unizar.es/record/132850/files/texto_completo.pdf$$yVersión publicada
000132850 8564_ $$s1770473$$uhttps://zaguan.unizar.es/record/132850/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000132850 909CO $$ooai:zaguan.unizar.es:132850$$particulos$$pdriver
000132850 951__ $$a2024-03-15-08:51:11
000132850 980__ $$aARTICLE