000118217 001__ 118217
000118217 005__ 20240319081021.0
000118217 0247_ $$2doi$$a10.1007/s11075-022-01284-0
000118217 0248_ $$2sideral$$a129614
000118217 037__ $$aART-2022-129614
000118217 041__ $$aeng
000118217 100__ $$0(orcid)0000-0002-1101-6230$$aMainar, E.$$uUniversidad de Zaragoza
000118217 245__ $$aTotal positivity and accurate computations with Gram matrices of Bernstein bases
000118217 260__ $$c2022
000118217 5060_ $$aAccess copy available to the general public$$fUnrestricted
000118217 5203_ $$aIn this paper, an accurate method to construct the bidiagonal factorization of Gram (mass) matrices of Bernstein bases of positive and negative degree is obtained and used to compute with high relative accuracy their eigenvalues, singular values and inverses. Numerical examples are included.
000118217 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E41-20R$$9info:eu-repo/grantAgreement/ES/MCIU-AEI/PGC2018-096321-B-I00
000118217 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/
000118217 590__ $$a2.1$$b2022
000118217 592__ $$a0.828$$b2022
000118217 591__ $$aMATHEMATICS, APPLIED$$b59 / 267 = 0.221$$c2022$$dQ1$$eT1
000118217 593__ $$aApplied Mathematics$$c2022$$dQ2
000118217 594__ $$a4.4$$b2022
000118217 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000118217 700__ $$0(orcid)0000-0002-1340-0666$$aPeña, J. M.$$uUniversidad de Zaragoza
000118217 700__ $$0(orcid)0000-0001-9130-0794$$aRubio, B.$$uUniversidad de Zaragoza
000118217 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000118217 773__ $$g91 (2022), 841–859$$pNumer. algorithms$$tNUMERICAL ALGORITHMS$$x1017-1398
000118217 8564_ $$s385049$$uhttps://zaguan.unizar.es/record/118217/files/texto_completo.pdf$$yVersión publicada
000118217 8564_ $$s1094187$$uhttps://zaguan.unizar.es/record/118217/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000118217 909CO $$ooai:zaguan.unizar.es:118217$$particulos$$pdriver
000118217 951__ $$a2024-03-18-16:14:23
000118217 980__ $$aARTICLE